ANSWERS TO REVIEW QUESTIONS
prepared by Rabbi Eliezer Chrysler
Kollel Iyun Hadaf, Jerusalem
Previous dafEruvin 56
ERUVIN 56 - was generously dedicated by an anonymous donor in Los Angeles.
(a) One squares a round town in the directions of the world (i.e. so that
the north side of the town faces due north, the east side, due east etc.
(b) Taurus is the sign by which it is possible to gauge due north, and
Scorpio due south.
(c) When Rebbi Yossi refers to ...
(d) According to Rebbi Yossi, one gauges ...
- ... 'Mehalchasan' - he means the Mazal's course by day.
- ... 'Mesavevasan' - he means its course by night.
1. ... the north side of the town - by drawing a line from the point where
the sun rises in mid-summer (on the north east) to where it sets (on the
2. ... the south side - by drawing the line from the point from where the
sun rises in mid-winter (on the south east) to where it sets (on the south
3. ... the east side - by noting where the sun rises and sets in Tekufas
Nisan (the spring equinox) and Tishri (the autumn equinox), because then it
rises and sets exactly in the middle of the east and west sides
(a) A full solar year lasts three hundred and sixty five and a quarter days.
(b) The luminaries were placed in the sky - at the beginning of the first
Tuesday night following the creation of the world, at the beginning of Nisan
(it is not clear on which date).
(c) In the following year ...
1. ... Tekufas Nisan will have fallen one a quarter days after that, at
midnight of the first Wednesday at the beginning of Nisan.
2. And the year after that, it will fall at sunrise of Friday morning at the
beginning of Nisan.
(a) Tekufas Tamuz (the summer solstice) will always fall either at one and a
half hours or at seven and a half hours, either after sunrise or after
(b) Tekufas Teves (the winter solstice) will fall either at four and a half
or at ten and a half hours after sunrise or sunset.
(a) When the Gemara says 'Ein Tekufah Mosheches me'Chaverta Ela Chatzi
Sha'ah' - it refers to the difference in time between the rising of the
Mazal from one Tekufah to the next. This works out in the following manner:
There are seven Mazalos (constellations) - Kochav, Levanah, Shabsi, Tzedek,
Ma'adim, Chamah, Nogah, each of which dominates from the time it appears
until the next Mazal appears exactly one hour later. Each Tekufah lasts
ninety one days plus seven and a half hours. Now since the ninety one days
are divisible by seven, and so are the seven hours, it transpires that if
Kochav (for example) ruled at the beginning of Tekufas Nisan, then Tekufas
Tamuz would arrive when Kochav was half way through her 'reign', and it will
be Levanah who will rule at the beginning of Tekufas Tishri and so on. Each
Tekufah will find the Mazal half an hour in advance of where it was at the
(b) When the Tekufah of ...
1. ... Nisan falls in the Mazal of Tzedek - then it causes the trees to
(c) This speaks when Tzedek dominates at the time of the Molad (the birth of
the new moon).
2. ... Teves falls in the Mazal of Tzedek - it causes seeds to dry up.
(a) When the Beraisa says that, after one has squared the town, one squares
it again - it means that, by a town of two thousand Amos, after one has
squared the circle (to form a square of two thousand Amos by two thousand
Amos), one measures the Techum by forming four squares of two thousand Amos
square (one on each side of the square of the town), completing the large
square by filling in the four corners.
(b) One gains by each corner ...
1. ... of the town - four hundred Amos (the length of the diagonal that the
square is in excess - of the circle).
2. ... of the Techum another four hundred Amos.
(a) One thousand Amos surrounding the Levi'im's town - had to remain Migrash
(an unused plot of land which served to beautify the town).
(b) The outer thousand Amos - was designated for fields and vineyards (for
the Levi'im's use).
(c) 'Meshucha'a' means - the land-measurer.
(d) According to Bar Ada, who establishes the Beraisa (which gives the
Migrash as a quarter of the area surrounding the Levi'im's cities) by a town
of two thousand Amos by two thousand Amos, we can divide the entire two
thousand by two thousand Amos area surrounding the town into two times
sixteen blocks (one for the area adjacent to the town, the other to fill in
the corners), each block a thousand by a thousand Amos. Of these blocks,
twelve will surround the town to serve as the Migrash, leaving twenty two
for fields and vineyards. - But twelve out of thirty-two is more than a
*third*, asks the Gemara, so how can the Beraisa refer to the Migrash as a
(a) The Gemara raises the fraction from *more* than a third Migrash to
*exactly* a third - by adding the four blocks of a thousand by a thousand
Amos of the town itself to the field and vineyard section of the entire
area, making it twelve out of thirty-six blocks (exactly one third).
(b) We arrive at the stated quarter - by establishing the case by a circular
town, in which case the Migrash too, will be circular (instead of the square
town which we discussed until now). Since a circle is a quarter less that
the square that surrounds it, we will have reduced the sixteen blocks of a
thousand by a thousand Amos (which previously took up the town together with
the Migrash), to twelve - three quarters (nine) of which are ascribed to the
Migrash. Nine out of thirty-six (i.e. the unchanged square of two thousand
Amos square that surrounds the town) is a quarter.
(c) According to Abaye too, we are speaking about a round town - and the six
blocks of a thousand Amos which comprise the Migrash, make up one quarter of
the twenty four blocks of the total area surrounding the town. The advantage
of Abaye's explanation is - that it is not necessary, according to him, to
include the town in the reckoning.