Rabbi Yochanan said that a sukkah round like a furnace is a good sukkah as long as it has a circumference that could fit 24 people around it. The gemara struggles to understand why the circle needs to be that large. A sukkah of a craftsman – can one use it as a sukkah to fulfill one’s obligation on Sukkot using the inner one? What about the outer one? Are either or both of them obligated in mezuza? Sukkot Ganba”ch and Rakba”sh – acronyms for types of sukkot – can they be used for the holiday of Sukkot?
Sukkah 8
07.15.2021 | ו׳ באב תשפ״א
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This week’s learning is sponsored by Sara Averick in loving memory of her mother, Leah Shifrin Averick, לאה בת יהודה לייב חייקל וחיה מאשה. “She infused her many descendants with her love for Torah, Israel and the Jewish people.”
This week’s learning is sponsored by Elana and Daniel Storch in honor of their youngest daughter Arianne Yael’s engagement to Brett Aiken and for a for a refuah shleima for Ilana Malka bat Aviva Tamar and Leah Maritza bat Raizel. “We are thrilled to share besorot tovot with our Hadran Family. We pray that the chuppah will take place בשעה טובה ומוצלחת and they should be zoche to build a בית נאמן בישראל.
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This week’s learning is sponsored by Sara Averick in loving memory of her mother, Leah Shifrin Averick, לאה בת יהודה לייב חייקל וחיה מאשה. “She infused her many descendants with her love for Torah, Israel and the Jewish people.”
This week’s learning is sponsored by Elana and Daniel Storch in honor of their youngest daughter Arianne Yael’s engagement to Brett Aiken and for a for a refuah shleima for Ilana Malka bat Aviva Tamar and Leah Maritza bat Raizel. “We are thrilled to share besorot tovot with our Hadran Family. We pray that the chuppah will take place בשעה טובה ומוצלחת and they should be zoche to build a בית נאמן בישראל.
Sukkah 8
הָנֵי מִילֵּי בְּעִיגּוּלָא, אֲבָל בְּרִיבּוּעָא — בָּעֲיָא טְפֵי.
The Gemara answers: This applies only in the middle of the circle that has a circumference of twelve cubits, as the diameter of the circle is four cubits; but in order for a square inscribed within a circle to have a perimeter of sixteen cubits, the circle requires a circumference that is more than twelve cubits.
מִכְּדֵי כַּמָּה מְרוּבָּע יוֹתֵר עַל הָעִיגּוּל — רְבִיעַ, בְּשִׁיתְּסַר סַגִּי?
The Gemara asks further: Now, by how much is the perimeter of a square inscribing a circle greater than the circumference of that circle? It is greater by one quarter of the perimeter of the square. If that is the case, a circle with a circumference of sixteen cubits is sufficient. Why, then, does Rabbi Yoḥanan require a circumference of twenty-four cubits?
הָנֵי מִילֵּי בְּעִיגּוּל דְּנָפֵיק מִגּוֹ רִיבּוּעָא, אֲבָל רִיבּוּעָא דְּנָפֵיק מִגּוֹ עִגּוּלָא — בָּעֵינַן טְפֵי, מִשּׁוּם מוּרְשָׁא דְקַרְנָתָא.
The Gemara answers: This statement with regard to the ratio of the perimeter of a square to the circumference of a circle applies to a circle inscribed in a square, but in the case of a square circumscribed by a circle, the circle requires a greater circumference due to the projection of the corners of the square. In order to ensure that a square whose sides are four cubits each fits neatly into a circle, the circumference of the circle must be greater than sixteen cubits.
מִכְּדֵי כׇּל אַמְּתָא בְּרִיבּוּעָא אַמְּתָא וּתְרֵי חוּמְשֵׁי בַּאֲלַכְסוֹנָא, בְּשִׁיבְסַר נְכֵי חוּמְשָׁא סַגִּיא? לָא דָּק.
The Gemara calculates precisely how much greater the circumference must be in order to circumscribe the four-by-four-cubit square. Now, in every square whose sides each measure one cubit its diagonal measures one and two-fifths cubits, and in a circle that circumscribes a square, the diagonal of the square is the diameter of the circle. In this case, the circumscribed square measures four by four cubits; therefore, the diagonal of the square, which is the diameter of the circle, measures five and three-fifths cubits. Since the Gemara calculates the circumference of the circle as three times its diameter, a circular sukka with a circumference of seventeen cubits minus one-fifth of a cubit should be sufficient. The Gemara answers: Rabbi Yoḥanan was not precise and rounded the dimensions of the circular sukka to a number higher than the absolute minimum.
אֵימוֹר דְּאָמְרִינַן לָא דָּק פּוּרְתָּא, טוּבָא מִי אָמְרִינַן לָא דָּק?
The Gemara wonders: Say that we say that the Sage was not precise when the difference between the number cited and the precise number is slight; however, when the difference is great, do we say the Sage was not precise? After all, Rabbi Yoḥanan stated that the minimum measure is twenty-four cubits, a difference of more than seven cubits.
אֲמַר לֵיהּ מָר קַשִּׁישָׁא בְּרֵיהּ דְּרַב חִסְדָּא לְרַב אָשֵׁי: מִי סָבְרַתְּ גַּבְרָא בְּאַמְּתָא יָתֵיב, תְּלָתָא גַּבְרֵי בְּתַרְתֵּי אַמְּתָא יָתְבִי. כַּמָּה הָווּ לְהוּ — שִׁיתְּסַר, אֲנַן שִׁיבְסַר נְכֵי חוּמְשָׁא בָּעֵינַן! לָא דָּק.
Mar Keshisha, i.e., the elder, son of Rav Ḥisda, said to Rav Ashi: Do you hold that when a man sits, he sits and occupies one cubit, and consequently a sukka that seats twenty-four people must have a circumference of twenty-four cubits? In fact, three people sit and occupy two cubits. The Gemara asks: How many cubits are there in the sukka required by Rabbi Yoḥanan? There are sixteen cubits. But we require a sukka with a circumference of seventeen cubits minus one-fifth, as calculated above. The Gemara answers: He was not precise and rounded the figure down to the lower whole number; actually, the required circumference is four-fifths of a cubit larger.
אֵימוֹר דְּאָמְרִינַן לָא דָּק לְחוּמְרָא, לְקוּלָּא מִי אָמְרִינַן לָא דָּק?
The Gemara rejects this explanation: Say that we say that the Sage was not precise when the result is a stringency, e.g., he required a sukka whose dimensions are greater than the minimum required dimensions; however, when the result is a leniency, do we say the Sage was not precise? In that case, the lack of precision will lead to establishing a sukka whose dimensions are smaller than the minimum requirement.
אֲמַר לֵיהּ רַב אַסִּי לְרַב אָשֵׁי: לְעוֹלָם גַּבְרָא בְּאַמְּתָא יָתֵיב, וְרַבִּי יוֹחָנָן מְקוֹם גַּבְרֵי לָא קָחָשֵׁיב.
Rav Asi said to Rav Ashi: Actually, a man sits and occupies one cubit, and Rabbi Yoḥanan is not factoring the space that the men occupy in his calculation. In other words, to this point, the assumption has been that Rabbi Yoḥanan calculated the circumference of the sukka required to seat twenty-four people. Actually, he merely calculated the circumference of the inner circle formed by the twenty-four people seated.
כַּמָּה הָווּ לְהוּ — תַּמְנֵי סְרֵי, בְּשִׁיבְסַר נְכֵי חוּמְשָׁא סַגִּיא! הַיְינוּ דְּלָא דָּק וּלְחוּמְרָא לָא דָּק.
The Gemara asks: How many cubits are there in the circumference of the inner circle formed by a circle of twenty-four people? There are eighteen cubits. Based on the principle that for every three cubits of circumference there is one cubit of diameter, the diameter of a circle whose outer circumference surrounds twenty-four people is eight cubits. To calculate the circumference of the inner circle, subtract from the diameter the space occupied by two people, each sitting at one end of the diameter. The result is a diameter of six cubits. Based on the above principle, a circle with a diameter of six cubits will have a circumference of eighteen cubits. However, a circumference of seventeen cubits minus one-fifth of a cubit should be sufficient. The Gemara answers: This is the case where he was not precise, and in this case he is not precise when the result is a stringency, as instead of sixteen and four-fifths, Rabbi Yoḥanan required eighteen cubits.
רַבָּנַן דְּקֵיסָרִי, וְאָמְרִי לַהּ דַּיָּינֵי דְקֵיסָרִי אָמְרִי: עִיגּוּלָא דְּנָפֵיק מִגּוֹ רִיבּוּעָא — רִבְעָא,
The Sages of Caesarea, and some say that it was the judges of Caesarea, said that Rabbi Yoḥanan’s statement could be explained using a different calculation: The circumference of a circle inscribed in a square is one–quarter less than the perimeter of the square,
רִיבּוּעָא דְּנָפֵיק מִגּוֹ עִיגּוּלָא — פַּלְגָא. וְלָא הִיא, דְּהָא קָחָזֵינַן דְּלָא הָוֵי כּוּלֵּי הַאי.
while the perimeter of a square circumscribed by a circle is smaller than the circumference of that circle by half, i.e., if one adds half the perimeter of the square to the perimeter of the square, that is equal to the circumference of its circumscribing circle. Therefore, a circle with a circumference of twenty-four cubits would circumscribe a square with a perimeter of sixteen cubits, as prescribed by Rabbi Yoḥanan. The Gemara notes: And that is not the case, as we see that the circumference of the circumscribing circle is not that much. The actual circumference is closer to seventeen cubits.
אָמַר רַבִּי לֵוִי מִשּׁוּם רַבִּי מֵאִיר: שְׁתֵּי סוּכּוֹת שֶׁל יוֹצְרִים זוֹ לִפְנִים מִזּוֹ — הַפְּנִימִית אֵינָהּ סוּכָּה, וְחַיֶּיבֶת בִּמְזוּזָה. וְהַחִיצוֹנָה סוּכָּה, וּפְטוּרָה מִן הַמְּזוּזָה.
§ Rabbi Levi said in the name of Rabbi Meir: With regard to two craftsmen’s booths, one within the other, as potters would build two booths, an inner one used as living quarters and an outer one for plying their craft and selling their wares, the inner one is not fit for fulfillment of the mitzva of sukka, since the potter resides there year-round and it is not evident during the Festival that he is residing there for the sake of the mitzva of sukka. And since it a permanent residence, it is also obligated in the mitzva of mezuza. And the outer booth is fit for fulfillment of the mitzva of sukka, since he does not reside there year-round, and when he resides there during the Festival it is evident that he is doing so for the sake of the mitzva. Since it is not designated as a year-round residence, but rather serves as an entrance to his residence and a passage for merchants and merchandise, it is not considered a residence and is not obligated in the mitzva of mezuza.
וְאַמַּאי? תִּהְוֵי חִיצוֹנָה כְּבֵית שַׁעַר הַפְּנִימִית, וְתִתְחַיֵּיב בִּמְזוּזָה! מִשּׁוּם דְּלָא קְבִיעַ.
The Gemara asks: Why is the outer booth exempt from the mitzva of mezuza? Let the outer booth be considered like a gatehouse of the inner booth and therefore be obligated in the mitzva of mezuza. The Gemara answers: It is exempt because even the inner booth is not a permanent residence. It requires a mezuza because the potter resides there year-round; however, that alone does not render it a full-fledged residence that would obligate one to affix a mezuza to the outer booth as its gatehouse.
תָּנוּ רַבָּנַן: גַּנְבַּ״ךְ: סוּכַּת גּוֹיִם, סוּכַּת נָשִׁים, סוּכַּת בְּהֵמָה, סוּכַּת כּוּתִים סוּכָּה מִכׇּל מָקוֹם — כְּשֵׁרָה, וּבִלְבַד שֶׁתְּהֵא מְסוּכֶּכֶת כְּהִלְכָתָהּ.
The Sages taught: The booths represented by the mnemonic: Gimmel, nun, beit, kaf, which stands for a booth of gentiles [goyim], a booth of women [nashim], a booth of domesticated animals [behema], a booth of Samaritans [Kutim], a booth of any sort, each is fit for use as a sukka, provided it is roofed in the standard sense. None of them is disqualified due to the one who constructed it or the purpose for which it was constructed.
מַאי ״כְּהִלְכָתָהּ״? אָמַר רַב חִסְדָּא: וְהוּא שֶׁעֲשָׂאָהּ לְצֵל סוּכָּה.
The Gemara asks: What is the meaning of the term: In the standard sense? Rav Ḥisda said that it means: And provided that one established the booth to provide shade of a sukka from its roofing, it may be used to fulfill the mitzva of sukka.
״מִכׇּל מָקוֹם״ לְאֵתוֹיֵי מַאי? לְאֵתוֹיֵי: סוּכַּת רַקְבַּ״שׁ. דְּתָנוּ רַבָּנַן: סוּכַּת רַקְבַּ״שׁ: סוּכַּת רוֹעִים, סוּכַּת קַיָּיצִים סוּכַּת בּוּרְגָּנִין סוּכַּת שׁוֹמְרֵי פֵירוֹת, סוּכָּה מִכׇּל מָקוֹם — כְּשֵׁרָה, וּבִלְבַד שֶׁתְּהֵא מְסוּכֶּכֶת כְּהִלְכָתָהּ.
The Gemara asks: What does the phrase: A booth of any sort, come to include? What other booths are included in this generalization? The Gemara answers: It comes to include the booths listed in another baraita with the mnemonic: Reish, kuf, beit, shin, as the Sages taught: The booth known by the mnemonic reish, kuf, beit, shin, which stands for the booth of shepherds [ro’im], the booth of fig driers [kayyatzim], the booth of guards of fields [burganin], the booth of the guards of produce [shomerei peirot], a booth of any sort, each is fit, provided it is roofed in the standard sense.
מַאי ״כְּהִלְכָתָהּ״? אָמַר רַב חִסְדָּא: וְהוּא שֶׁעֲשָׂאָהּ לְצֵל סוּכָּה.
The Gemara asks again: What is the meaning of the term: In the standard sense? Rav Ḥisda said that it means: And provided that one established the booth to provide shade of a sukka, it may be used to fulfill the mitzva of sukka.
״מִכׇּל מָקוֹם״ לְאֵתוֹיֵי מַאי? לְאֵתוֹיֵי: סוּכַּת גַּנְבַּ״ךְ.
The Gemara asks: What does the phrase: A booth of any sort, come to include? The Gemara answers: It comes to include the booths listed in the first baraita cited above with the mnemonic gimmel, nun, beit, kaf.
הַאי תַּנָּא דְּגַנְבַּ״ךְ, אַלִּימָא לֵיהּ גַּנְבַּ״ךְ מִשּׁוּם דִּקְבִיעִי, וְקָא תָּנֵא ״מִכׇּל מָקוֹם״ לְאֵתוֹיֵי רַקְבַּ״שׁ, דְּלָא קְבִיעִי.
The Gemara explains: This tanna who taught and detailed the halakhot of booths of gimmel, nun, beit, kaf did so because the fitness of the booths of gimmel, nun, beit, kaf for use in fulfilling the mitzva of sukka is powerful and more obvious to him because they are permanent structures, even though their builders are not obligated in the mitzva. And he taught: Booths of any sort, to include the booths of reish, kuf, beit, shin, which, although they are seasonal and not permanent structures, may still be used to fulfill the mitzva of sukka.
וְהַאי תַּנָּא דְּרַקְבַּ״שׁ, אַלִּימָא לֵיהּ רַקְבַּ״שׁ, דִּבְנֵי חִיּוּבָא נִינְהוּ, וְתָנֵא ״מִכׇּל מָקוֹם״ לְאֵתוֹיֵי גַּנְבַּ״ךְ, דְּלָאו בְּנֵי חִיּוּבָא נִינְהוּ.
And that other tanna who taught and detailed the halakhot of booths of reish, kuf, beit, shin did so because the fitness of the booths of reish, kuf, beit, shin for use in fulfilling the mitzva of sukka is powerful and more obvious to him because those who constructed the booths are obligated in the mitzva of sukka. And he taught: Booths of any sort, to include the booths of gimmel, nun, beit, kaf, which, although those who constructed them are not obligated in the mitzva, may still be used to fulfill the mitzva of sukka.
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Attending the Siyyum in Jerusalem 26 months ago inspired me to become part of this community of learners. So many aspects of Jewish life have been illuminated by what we have learned in Seder Moed. My day is not complete without daf Yomi. I am so grateful to Rabbanit Michelle and the Hadran Community.
Nancy Kolodny
Newton, United States
When the new cycle began, I thought, If not now, when? I’d just turned 72. I feel like a tourist on a tour bus passing astonishing scenery each day. Rabbanit Michelle is my beloved tour guide. When the cycle ends, I’ll be 80. I pray that I’ll have strength and mind to continue the journey to glimpse a little more. My grandchildren think having a daf-learning savta is cool!
Wendy Dickstein
Jerusalem, Israel
My Daf journey began in August 2012 after participating in the Siyum Hashas where I was blessed as an “enabler” of others. Galvanized into my own learning I recited the Hadran on Shas in January 2020 with Rabbanit Michelle. That Siyum was a highlight in my life. Now, on round two, Daf has become my spiritual anchor to which I attribute manifold blessings.
Rina Goldberg
Englewood NJ, United States
I started learning Dec 2019 after reading “If all the Seas Were Ink”. I found
Daily daf sessions of Rabbanit Michelle in her house teaching, I then heard about the siyum and a new cycle starting wow I am in! Afternoon here in Sydney, my family and friends know this is my sacred time to hide away to live zoom and learn. Often it’s hard to absorb and relate then a gem shines touching my heart.
Dianne Kuchar
Dover Heights, Australia
I’ve been studying Talmud since the ’90s, and decided to take on Daf Yomi two years ago. I wanted to attempt the challenge of a day-to-day, very Jewish activity. Some days are so interesting and some days are so boring. But I’m still here.
Sarene Shanus
Mamaroneck, NY, United States
In January 2020, my teaching partner at IDC suggested we do daf yomi. Thanks to her challenge, I started learning daily from Rabbanit Michelle. It’s a joy to be part of the Hadran community. (It’s also a tikkun: in 7th grade, my best friend and I tied for first place in a citywide gemara exam, but we weren’t invited to the celebration because girls weren’t supposed to be learning gemara).
Sara Averick
Jerusalem, Israel
I started learning at the beginning of this Daf Yomi cycle because I heard a lot about the previous cycle coming to an end and thought it would be a good thing to start doing. My husband had already bought several of the Koren Talmud Bavli books and they were just sitting on the shelf, not being used, so here was an opportunity to start using them and find out exactly what was in them. Loving it!
Caroline Levison
Borehamwood, United Kingdom
It’s hard to believe it has been over two years. Daf yomi has changed my life in so many ways and has been sustaining during this global sea change. Each day means learning something new, digging a little deeper, adding another lens, seeing worlds with new eyes. Daf has also fostered new friendships and deepened childhood connections, as long time friends have unexpectedly become havruta.
Joanna Rom
Northwest Washington, United States
I began learning with Rabbanit Michelle’s wonderful Talmud Skills class on Pesachim, which really enriched my Pesach seder, and I have been learning Daf Yomi off and on over the past year. Because I’m relatively new at this, there is a “chiddush” for me every time I learn, and the knowledge and insights of the group members add so much to my experience. I feel very lucky to be a part of this.
Julie Landau
Karmiel, Israel
Sukkah 8
הָנֵי מִילֵּי בְּעִיגּוּלָא, אֲבָל בְּרִיבּוּעָא — בָּעֲיָא טְפֵי.
The Gemara answers: This applies only in the middle of the circle that has a circumference of twelve cubits, as the diameter of the circle is four cubits; but in order for a square inscribed within a circle to have a perimeter of sixteen cubits, the circle requires a circumference that is more than twelve cubits.
מִכְּדֵי כַּמָּה מְרוּבָּע יוֹתֵר עַל הָעִיגּוּל — רְבִיעַ, בְּשִׁיתְּסַר סַגִּי?
The Gemara asks further: Now, by how much is the perimeter of a square inscribing a circle greater than the circumference of that circle? It is greater by one quarter of the perimeter of the square. If that is the case, a circle with a circumference of sixteen cubits is sufficient. Why, then, does Rabbi Yoḥanan require a circumference of twenty-four cubits?
הָנֵי מִילֵּי בְּעִיגּוּל דְּנָפֵיק מִגּוֹ רִיבּוּעָא, אֲבָל רִיבּוּעָא דְּנָפֵיק מִגּוֹ עִגּוּלָא — בָּעֵינַן טְפֵי, מִשּׁוּם מוּרְשָׁא דְקַרְנָתָא.
The Gemara answers: This statement with regard to the ratio of the perimeter of a square to the circumference of a circle applies to a circle inscribed in a square, but in the case of a square circumscribed by a circle, the circle requires a greater circumference due to the projection of the corners of the square. In order to ensure that a square whose sides are four cubits each fits neatly into a circle, the circumference of the circle must be greater than sixteen cubits.
מִכְּדֵי כׇּל אַמְּתָא בְּרִיבּוּעָא אַמְּתָא וּתְרֵי חוּמְשֵׁי בַּאֲלַכְסוֹנָא, בְּשִׁיבְסַר נְכֵי חוּמְשָׁא סַגִּיא? לָא דָּק.
The Gemara calculates precisely how much greater the circumference must be in order to circumscribe the four-by-four-cubit square. Now, in every square whose sides each measure one cubit its diagonal measures one and two-fifths cubits, and in a circle that circumscribes a square, the diagonal of the square is the diameter of the circle. In this case, the circumscribed square measures four by four cubits; therefore, the diagonal of the square, which is the diameter of the circle, measures five and three-fifths cubits. Since the Gemara calculates the circumference of the circle as three times its diameter, a circular sukka with a circumference of seventeen cubits minus one-fifth of a cubit should be sufficient. The Gemara answers: Rabbi Yoḥanan was not precise and rounded the dimensions of the circular sukka to a number higher than the absolute minimum.
אֵימוֹר דְּאָמְרִינַן לָא דָּק פּוּרְתָּא, טוּבָא מִי אָמְרִינַן לָא דָּק?
The Gemara wonders: Say that we say that the Sage was not precise when the difference between the number cited and the precise number is slight; however, when the difference is great, do we say the Sage was not precise? After all, Rabbi Yoḥanan stated that the minimum measure is twenty-four cubits, a difference of more than seven cubits.
אֲמַר לֵיהּ מָר קַשִּׁישָׁא בְּרֵיהּ דְּרַב חִסְדָּא לְרַב אָשֵׁי: מִי סָבְרַתְּ גַּבְרָא בְּאַמְּתָא יָתֵיב, תְּלָתָא גַּבְרֵי בְּתַרְתֵּי אַמְּתָא יָתְבִי. כַּמָּה הָווּ לְהוּ — שִׁיתְּסַר, אֲנַן שִׁיבְסַר נְכֵי חוּמְשָׁא בָּעֵינַן! לָא דָּק.
Mar Keshisha, i.e., the elder, son of Rav Ḥisda, said to Rav Ashi: Do you hold that when a man sits, he sits and occupies one cubit, and consequently a sukka that seats twenty-four people must have a circumference of twenty-four cubits? In fact, three people sit and occupy two cubits. The Gemara asks: How many cubits are there in the sukka required by Rabbi Yoḥanan? There are sixteen cubits. But we require a sukka with a circumference of seventeen cubits minus one-fifth, as calculated above. The Gemara answers: He was not precise and rounded the figure down to the lower whole number; actually, the required circumference is four-fifths of a cubit larger.
אֵימוֹר דְּאָמְרִינַן לָא דָּק לְחוּמְרָא, לְקוּלָּא מִי אָמְרִינַן לָא דָּק?
The Gemara rejects this explanation: Say that we say that the Sage was not precise when the result is a stringency, e.g., he required a sukka whose dimensions are greater than the minimum required dimensions; however, when the result is a leniency, do we say the Sage was not precise? In that case, the lack of precision will lead to establishing a sukka whose dimensions are smaller than the minimum requirement.
אֲמַר לֵיהּ רַב אַסִּי לְרַב אָשֵׁי: לְעוֹלָם גַּבְרָא בְּאַמְּתָא יָתֵיב, וְרַבִּי יוֹחָנָן מְקוֹם גַּבְרֵי לָא קָחָשֵׁיב.
Rav Asi said to Rav Ashi: Actually, a man sits and occupies one cubit, and Rabbi Yoḥanan is not factoring the space that the men occupy in his calculation. In other words, to this point, the assumption has been that Rabbi Yoḥanan calculated the circumference of the sukka required to seat twenty-four people. Actually, he merely calculated the circumference of the inner circle formed by the twenty-four people seated.
כַּמָּה הָווּ לְהוּ — תַּמְנֵי סְרֵי, בְּשִׁיבְסַר נְכֵי חוּמְשָׁא סַגִּיא! הַיְינוּ דְּלָא דָּק וּלְחוּמְרָא לָא דָּק.
The Gemara asks: How many cubits are there in the circumference of the inner circle formed by a circle of twenty-four people? There are eighteen cubits. Based on the principle that for every three cubits of circumference there is one cubit of diameter, the diameter of a circle whose outer circumference surrounds twenty-four people is eight cubits. To calculate the circumference of the inner circle, subtract from the diameter the space occupied by two people, each sitting at one end of the diameter. The result is a diameter of six cubits. Based on the above principle, a circle with a diameter of six cubits will have a circumference of eighteen cubits. However, a circumference of seventeen cubits minus one-fifth of a cubit should be sufficient. The Gemara answers: This is the case where he was not precise, and in this case he is not precise when the result is a stringency, as instead of sixteen and four-fifths, Rabbi Yoḥanan required eighteen cubits.
רַבָּנַן דְּקֵיסָרִי, וְאָמְרִי לַהּ דַּיָּינֵי דְקֵיסָרִי אָמְרִי: עִיגּוּלָא דְּנָפֵיק מִגּוֹ רִיבּוּעָא — רִבְעָא,
The Sages of Caesarea, and some say that it was the judges of Caesarea, said that Rabbi Yoḥanan’s statement could be explained using a different calculation: The circumference of a circle inscribed in a square is one–quarter less than the perimeter of the square,
רִיבּוּעָא דְּנָפֵיק מִגּוֹ עִיגּוּלָא — פַּלְגָא. וְלָא הִיא, דְּהָא קָחָזֵינַן דְּלָא הָוֵי כּוּלֵּי הַאי.
while the perimeter of a square circumscribed by a circle is smaller than the circumference of that circle by half, i.e., if one adds half the perimeter of the square to the perimeter of the square, that is equal to the circumference of its circumscribing circle. Therefore, a circle with a circumference of twenty-four cubits would circumscribe a square with a perimeter of sixteen cubits, as prescribed by Rabbi Yoḥanan. The Gemara notes: And that is not the case, as we see that the circumference of the circumscribing circle is not that much. The actual circumference is closer to seventeen cubits.
אָמַר רַבִּי לֵוִי מִשּׁוּם רַבִּי מֵאִיר: שְׁתֵּי סוּכּוֹת שֶׁל יוֹצְרִים זוֹ לִפְנִים מִזּוֹ — הַפְּנִימִית אֵינָהּ סוּכָּה, וְחַיֶּיבֶת בִּמְזוּזָה. וְהַחִיצוֹנָה סוּכָּה, וּפְטוּרָה מִן הַמְּזוּזָה.
§ Rabbi Levi said in the name of Rabbi Meir: With regard to two craftsmen’s booths, one within the other, as potters would build two booths, an inner one used as living quarters and an outer one for plying their craft and selling their wares, the inner one is not fit for fulfillment of the mitzva of sukka, since the potter resides there year-round and it is not evident during the Festival that he is residing there for the sake of the mitzva of sukka. And since it a permanent residence, it is also obligated in the mitzva of mezuza. And the outer booth is fit for fulfillment of the mitzva of sukka, since he does not reside there year-round, and when he resides there during the Festival it is evident that he is doing so for the sake of the mitzva. Since it is not designated as a year-round residence, but rather serves as an entrance to his residence and a passage for merchants and merchandise, it is not considered a residence and is not obligated in the mitzva of mezuza.
וְאַמַּאי? תִּהְוֵי חִיצוֹנָה כְּבֵית שַׁעַר הַפְּנִימִית, וְתִתְחַיֵּיב בִּמְזוּזָה! מִשּׁוּם דְּלָא קְבִיעַ.
The Gemara asks: Why is the outer booth exempt from the mitzva of mezuza? Let the outer booth be considered like a gatehouse of the inner booth and therefore be obligated in the mitzva of mezuza. The Gemara answers: It is exempt because even the inner booth is not a permanent residence. It requires a mezuza because the potter resides there year-round; however, that alone does not render it a full-fledged residence that would obligate one to affix a mezuza to the outer booth as its gatehouse.
תָּנוּ רַבָּנַן: גַּנְבַּ״ךְ: סוּכַּת גּוֹיִם, סוּכַּת נָשִׁים, סוּכַּת בְּהֵמָה, סוּכַּת כּוּתִים סוּכָּה מִכׇּל מָקוֹם — כְּשֵׁרָה, וּבִלְבַד שֶׁתְּהֵא מְסוּכֶּכֶת כְּהִלְכָתָהּ.
The Sages taught: The booths represented by the mnemonic: Gimmel, nun, beit, kaf, which stands for a booth of gentiles [goyim], a booth of women [nashim], a booth of domesticated animals [behema], a booth of Samaritans [Kutim], a booth of any sort, each is fit for use as a sukka, provided it is roofed in the standard sense. None of them is disqualified due to the one who constructed it or the purpose for which it was constructed.
מַאי ״כְּהִלְכָתָהּ״? אָמַר רַב חִסְדָּא: וְהוּא שֶׁעֲשָׂאָהּ לְצֵל סוּכָּה.
The Gemara asks: What is the meaning of the term: In the standard sense? Rav Ḥisda said that it means: And provided that one established the booth to provide shade of a sukka from its roofing, it may be used to fulfill the mitzva of sukka.
״מִכׇּל מָקוֹם״ לְאֵתוֹיֵי מַאי? לְאֵתוֹיֵי: סוּכַּת רַקְבַּ״שׁ. דְּתָנוּ רַבָּנַן: סוּכַּת רַקְבַּ״שׁ: סוּכַּת רוֹעִים, סוּכַּת קַיָּיצִים סוּכַּת בּוּרְגָּנִין סוּכַּת שׁוֹמְרֵי פֵירוֹת, סוּכָּה מִכׇּל מָקוֹם — כְּשֵׁרָה, וּבִלְבַד שֶׁתְּהֵא מְסוּכֶּכֶת כְּהִלְכָתָהּ.
The Gemara asks: What does the phrase: A booth of any sort, come to include? What other booths are included in this generalization? The Gemara answers: It comes to include the booths listed in another baraita with the mnemonic: Reish, kuf, beit, shin, as the Sages taught: The booth known by the mnemonic reish, kuf, beit, shin, which stands for the booth of shepherds [ro’im], the booth of fig driers [kayyatzim], the booth of guards of fields [burganin], the booth of the guards of produce [shomerei peirot], a booth of any sort, each is fit, provided it is roofed in the standard sense.
מַאי ״כְּהִלְכָתָהּ״? אָמַר רַב חִסְדָּא: וְהוּא שֶׁעֲשָׂאָהּ לְצֵל סוּכָּה.
The Gemara asks again: What is the meaning of the term: In the standard sense? Rav Ḥisda said that it means: And provided that one established the booth to provide shade of a sukka, it may be used to fulfill the mitzva of sukka.
״מִכׇּל מָקוֹם״ לְאֵתוֹיֵי מַאי? לְאֵתוֹיֵי: סוּכַּת גַּנְבַּ״ךְ.
The Gemara asks: What does the phrase: A booth of any sort, come to include? The Gemara answers: It comes to include the booths listed in the first baraita cited above with the mnemonic gimmel, nun, beit, kaf.
הַאי תַּנָּא דְּגַנְבַּ״ךְ, אַלִּימָא לֵיהּ גַּנְבַּ״ךְ מִשּׁוּם דִּקְבִיעִי, וְקָא תָּנֵא ״מִכׇּל מָקוֹם״ לְאֵתוֹיֵי רַקְבַּ״שׁ, דְּלָא קְבִיעִי.
The Gemara explains: This tanna who taught and detailed the halakhot of booths of gimmel, nun, beit, kaf did so because the fitness of the booths of gimmel, nun, beit, kaf for use in fulfilling the mitzva of sukka is powerful and more obvious to him because they are permanent structures, even though their builders are not obligated in the mitzva. And he taught: Booths of any sort, to include the booths of reish, kuf, beit, shin, which, although they are seasonal and not permanent structures, may still be used to fulfill the mitzva of sukka.
וְהַאי תַּנָּא דְּרַקְבַּ״שׁ, אַלִּימָא לֵיהּ רַקְבַּ״שׁ, דִּבְנֵי חִיּוּבָא נִינְהוּ, וְתָנֵא ״מִכׇּל מָקוֹם״ לְאֵתוֹיֵי גַּנְבַּ״ךְ, דְּלָאו בְּנֵי חִיּוּבָא נִינְהוּ.
And that other tanna who taught and detailed the halakhot of booths of reish, kuf, beit, shin did so because the fitness of the booths of reish, kuf, beit, shin for use in fulfilling the mitzva of sukka is powerful and more obvious to him because those who constructed the booths are obligated in the mitzva of sukka. And he taught: Booths of any sort, to include the booths of gimmel, nun, beit, kaf, which, although those who constructed them are not obligated in the mitzva, may still be used to fulfill the mitzva of sukka.
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