[Avodah] zman hadloko erev Shabbos and motzoei Shabbos

[Marty Bluke]

Akiva Miller wrote:
<The Beur Halacha is saying that Plag is
not 1 1/4 hours before shkia, but that it is 1 1/4 hours before
tzeis. That, on its own, is not problematic. But then he calculates
those 1 1/4 hours as 75 fixed clock minutes, or perhaps 1 1/4
twelfths of the time from sunrise to sunset, instead of the
calculation which I would have expected, namely 1 1/4 twelfths of the
The Beur Halacha is saying that Plag is
not 1 1/4 hours before shkia, but that it is 1 1/4 hours before
tzeis. That, on its own, is not problematic. But then he calculates
those 1 1/4 hours as 75 fixed clock minutes, or perhaps 1 1/4
twelfths of the time from sunrise to sunset, instead of the
calculation which I would have expected, namely 1 1/4 twelfths of the
<time from alos to tzeis.time from alos to tzeis.


The point you made is one R' Willig's proofs that according to R' Tam a mil
is 22.5 minutes and that you calculate the times from alos until tzeis.

If you use those numbers plag actually works out to be 1/6 of a mil before
shkia as follows:

alos - 4:30 (4 mil of 22.5 minutes before sunrise)
sunrise - 6:00
plag - 5:56:15 (see calculation below)
sunset-  6:00
tzeis - 7:30 (4 mil of 22.5 minutes before sunrise)

from 4:30 - 7:30 is 15 hours, if you divide that by 12 (to get shaos
zemaniyos) each shaah zemanis is 75 minutes (1.25 hours). Counting back to
plag hamincha from tzeis (which is 7:30) you get 1.25 shaos zemaniyos =
93.75 minutes, meaning that plag hamincha is 5:56:15, 3.75 minutes before
shkia. 22.5 divided by 6 = 3.75 and therefore plag hamincha is 1/6 of a mil
before shkia as the rishonim said.
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