Symmetrically Designed Sifrei Torah: A Quantitative Analysis - Hakirah
Symmetrically Designed Sifrei Torah: A Quantitative Analysis - Hakirah
Symmetrically Designed Sifrei Torah: A Quantitative Analysis - Hakirah
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224 : Hạkirah, the Flatbush Journal of Jewish Law and Thought<br />
and the thickness of Rambam’s S”T was thus .024 etzbaos. 79 Since<br />
there are 4 etzbaos in a ,טפח and a tefach is between 3.3 inches (R’<br />
Chayim Na’eh) and 4.2 inches (Chazon Ish), then an etzba is between<br />
.825 and 1.05 inches. Thus in terms of inches Rambam’s parchment<br />
was between .02 and .025 inches thick.<br />
H”M Chapter 9, footnote 4 writes:<br />
הנה אני עשיתי בספר תורה שכתבתי בכל המידות האלה ולא איתרמי לי<br />
וראיתי כי של גויל היה שהוא עב אבל בקלף שלנו א״א לכוין...<br />
i.e. he was unable to duplicate Rambam’s results because his S”T<br />
parchment was thinner. This explains why it is so difficult now to<br />
reproduce Rambam’s results. For example, the thickness of<br />
parchment used in today’s S”T is about .012 inches or less. Using this<br />
thickness in equation 3, and holding all other values the same as<br />
those that Rambam used, yields a Circumference of approximately<br />
18.9 etzbaos, i.e 5.1 etzbaos (21.2%) smaller than Rambam’s. 80 Thus<br />
ט׃ב שיעור הגיליון מלמטה, ארבע אצבעות; ולמעלה, שלוש אצבעות; ובין דף לדף, שתי<br />
אצבעות. לפיכך צריך שיניח בתחילת כל יריעה ובסופה, רוחב אצבע אחת וכדי תפירה--<br />
שנמצא כשתיתפר היריעה, יהיה בין כל דף ודף בכל הספר כולו, שתי אצבעות. ויניח מן<br />
העור בתחילת הספר ובסופו, כדי לגול עמוד.<br />
(Note: H”M says that the 2 nd word in halacha 11 should be 4, not 6<br />
etzbaos. This would change the radius of the etz but not alter the<br />
remaining numbers very much). If the circumference of an etz is 3<br />
etzbaos then its radius must be 3/2π.<br />
79 This is an upper bound on the thickness of Rambam’s parchment, since<br />
there are other sources of surface area that we have not included. As<br />
stated in halacha 2 (previous footnote), each parchment section has an<br />
extra etzba at each end to allow the parchment sections to be sewn<br />
together. There are between 3 and 8 columns of writing in each<br />
parchment section (halacha 12), and Rambam’s S”T had 226 columns.<br />
Thus, his S”T had at least 27 parchment sections and at least an<br />
additional 54 etzbaos of thickness. Finally, the end etzba of each<br />
parchment section sewn together protrudes slightly and does not allow<br />
an airtight rolling of the parchment. This too would increase the overall<br />
circumference of the S”T.<br />
80 Expanding the size of the atzei chaim could also materially affect the<br />
circumference. We note that Aruch Hashulchan in Hilchos Sefer <strong>Torah</strong> does<br />
not mention the size of the atzei chaim.