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# A city that is shaped like an L or a semicircle, if the ends are within 4000 amot, it is all considered one city and the area between its two ends is considered as though it was filled in with houses. If the ends are 4000 amot or more between the ends of the city, each branch of the city are considered separate and the area between them is not considered part of the city.<ref>Eruvin 55a, Shulchan Aruch O.C. 398:4</ref> Some are lenient to consider that area part of the city if from the line drawn between the two ends of the city and the middle of the city is less than 2000 amot. Additionally, some are lenient that if the ends gradually spread apart to consider the section of the ends where they are less than 4000 amot apart to be considered filled in.<ref>Rama 398:4</ref>
# A city that is shaped like an L or a semicircle, if the ends are within 4000 amot, it is all considered one city and the area between its two ends is considered as though it was filled in with houses. If the ends are 4000 amot or more between the ends of the city, each branch of the city are considered separate and the area between them is not considered part of the city.<ref>Eruvin 55a, Shulchan Aruch O.C. 398:4</ref> Some are lenient to consider that area part of the city if from the line drawn between the two ends of the city and the middle of the city is less than 2000 amot. Additionally, some are lenient that if the ends gradually spread apart to consider the section of the ends where they are less than 4000 amot apart to be considered filled in.<ref>Rama 398:4</ref>
#There is a dispute whether a L shaped or triangular shaped city is squared off according to the cardinal directions or by the side that is straight.<ref>Shulchan Aruch Harav 398:3 and Chayei Adam 68:14 hold that a city that is a triangle or L shaped city is squared off by the cardinal directions. However, Chazon Ish 80 s.v. tos 54a and 110:23 maintains that a city which has one side that is straight is squared off in accordance with that side and not according to the cardinal directions.</ref>
#There is a dispute whether a L shaped or triangular shaped city is squared off according to the cardinal directions or by the side that is straight.<ref>Shulchan Aruch Harav 398:3 and Chayei Adam 68:14 hold that a city that is a triangle or L shaped city is squared off by the cardinal directions. However, Chazon Ish 80 s.v. tos 54a and 110:23 maintains that a city which has one side that is straight is squared off in accordance with that side and not according to the cardinal directions.</ref>
#There is a discussion if it is possible to add onto the square of a city if it goes over a body of water.<ref>Rav Yitzchak Shpitzer and Rav Yechezkel Shraga Weiss (Poalim LTorah v. 17 p. 118) writes that although some question the fact that a squaring of a city can include an area over water, from Chatom Sofer 94 it is evident that it can include an area over a body of water. Mechazeh Eliyahu 1:74 also addresses this point and concludes that the squaring off of a city can go over water.</ref>


===Joining Cities===
===Joining Cities===
# If two cities are within 141.3 amot of each other they are considered like one city and the techum is drawn around both of them.<ref>Shulchan Aruch O.C. 398:7</ref>
# If two cities are within 141.3 amot of each other they are considered like one city and the techum is drawn around both of them.<ref>Shulchan Aruch O.C. 398:7</ref>
# If when drawing the square around a city that would include part of another city, some poskim hold that the two cities are considered one large city and the techum is drawn around both of them.<ref>Minchat Yitzchak 8:33 explains that since the squaring of a city is taken into account before we add the 70 amot of the city if the squaring off of a city includes another city everything should be considered one large city. His proof is the concept of Eruvin 55a that the arms of a bow-shaped city join as long as they are within 4000 amot of each other. The Chazon Ish 110:16 wasn't sure whether or not the cities join when the squaring off of each other join. Rav Chaim Kanievsky in [http://www.hebrewbooks.org/pdfpager.aspx?req=49174&st=&pgnum=383 Shoneh Halachot 398:19 and 21] writes that Chazon Ish held that they do join but left it unresolved (הדבר צריך הכרע). Zecher Tzvi (techum Shabbat p. 21) holds that one can be lenient based on Chazon Ish. Dirshu 398:21 quotes Rav Dovid Landau who holds that since Chazon Ish left this unresolved one must be strict. Dirshu 398:21 cites Rav Wosner (Kitzur Hilchot Medidat techumin) as holding that one can be lenient, but Rav Elyashiv as holding that one should be strict. [https://www.hebrewbooks.org/pdfpager.aspx?req=21547&st=&pgnum=250 Mechzeh Eliyahu 1:74] and 77 is lenient. Machneh Yisrael of Rabbi Dimitrovsky p. 19-22 writes that one who is lenient has what to rely upon and supports this from the Rambam and Meiri. He also cites Rav Elyashiv as being strict. Mdarkei Hatechum p. 18 quotes Rav Dovid Feinstein, Rav Belsky, Rav Elyashiv, and Rav Nissim Karelitz as holding that we cannot cities based on the squaring off of the city.</ref>
# If when drawing the square around a city that would include part of another city, some poskim hold that the two cities are considered one large city and the techum is drawn around both of them.<ref>Minchat Yitzchak 8:33 explains that since the squaring of a city is taken into account before we add the 70 amot of the city if the squaring off of a city includes another city everything should be considered one large city. His proof is the concept of Eruvin 55a that the arms of a bow-shaped city join as long as they are within 4000 amot of each other. Kovetz Chaburot Halacha v. 3 p. 26 questions his proof. The Chazon Ish 110:16 wasn't sure whether or not the cities join when the squaring off of each other join. Rav Chaim Kanievsky in [http://www.hebrewbooks.org/pdfpager.aspx?req=49174&st=&pgnum=383 Shoneh Halachot 398:19 and 21] writes that Chazon Ish held that they do join but left it unresolved (הדבר צריך הכרע). Zecher Tzvi (techum Shabbat p. 21) holds that one can be lenient based on Chazon Ish. Dirshu 398:21 quotes Rav Dovid Landau who holds that since Chazon Ish left this unresolved one must be strict. Dirshu 398:21 cites Rav Wosner (Kitzur Hilchot Medidat techumin) as holding that one can be lenient, but Rav Elyashiv as holding that one should be strict. [https://www.hebrewbooks.org/pdfpager.aspx?req=21547&st=&pgnum=250 Mechzeh Eliyahu 1:74] and 77 is lenient. Machneh Yisrael of Rabbi Dimitrovsky p. 19-22 writes that one who is lenient has what to rely upon and supports this from the Rambam and Meiri. He also cites Rav Elyashiv as being strict. Mdarkei Hatechum p. 18 quotes Rav Dovid Feinstein, Rav Belsky, Rav Elyashiv, and Rav Nissim Karelitz as holding that we cannot cities based on the squaring off of the city.</ref>
#This dispute directly impacts if one may walk from Brooklyn to Manhattan. If one is lenient about the above question, if someone starts Shabbat in Manhattan he can walk to Brooklyn and vice versa. If one is strict about the above dispute he may not.<Ref>Mdarkei Hatechum p. 19</ref>  
#This dispute directly impacts if one may walk from Brooklyn to Manhattan. If one is lenient about the above question, if someone starts Shabbat in Manhattan he can walk to Brooklyn and vice versa. If one is strict about the above dispute he may not.<Ref>Mdarkei Hatechum p. 19</ref>  
#Nontheless, even those who are strict not to consider both cities to be like one large city agree that if someone starts Shabbat within the squaring off of the techum of one city he may walk throughout that city. For example, if he starts Shabbat in a specific section of Manhattan that is within the squaring off of the techum of Brooklyn, he may walk throughout Brooklyn on Shabbat.<ref>Mdarkei Hatechum p. 19</ref>
#Nontheless, even those who are strict not to consider both cities to be like one large city agree that if someone starts Shabbat within the squaring off of the techum of one city he may walk throughout that city. For example, if he starts Shabbat in a specific section of Manhattan that is within the squaring off of the techum of Brooklyn, he may walk throughout Brooklyn on Shabbat.<ref>Mdarkei Hatechum p. 19</ref>
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#The ramification of this question is whether it is permissible to cross the Williamsburg bridge or Washington bridge on Shabbat. According to the Chazon Ish's squaring off of Manhattan both of these bridges would be beyond the techum; accordingly, it is forbidden to cross these on Shabbat. According to the other method, both of these bridges and some adjacent area is within the squaring off of Manhattan; according to this view it is permissible to cross these bridges on Shabbat.<ref>Rav Yitzchak Shpitzer and Rav Yechezkel Shraga Weiss (Poalim Ltorah v. 17 pp. 113-131)</ref>
#The ramification of this question is whether it is permissible to cross the Williamsburg bridge or Washington bridge on Shabbat. According to the Chazon Ish's squaring off of Manhattan both of these bridges would be beyond the techum; accordingly, it is forbidden to cross these on Shabbat. According to the other method, both of these bridges and some adjacent area is within the squaring off of Manhattan; according to this view it is permissible to cross these bridges on Shabbat.<ref>Rav Yitzchak Shpitzer and Rav Yechezkel Shraga Weiss (Poalim Ltorah v. 17 pp. 113-131)</ref>
#Yet, even according to Chazon Ish's view there are three other arguments that possibly could allow for crossing these bridges. 1) Chazon Ish suggests that cities join together if even just a small part of their squaring off overlap. Rav Elyashiv disagrees.<ref>See [[#Joining_Cities]] above.</ref> If one were to be lenient on this question, then even according to the first method of squaring off Manhattan it joins with Fort Lee and Brooklyn. 2) Tunnels with buildings on top potentially join cities. 3) The Williamsburg bridge had a booth for guards to watch the bridge. Some poskim hold that this makes the entire bridge like a dwelling place and then it would join Manhattan and Brooklyn together. In practice, some rabbis allow walking over the Williamsburg bridges and others do not.<ref>Rav Yitzchak Shpitzer and Rav Yechezkel Shraga Weiss (Poalim Ltorah v. 17 pp. 113-131). [https://www.yutorah.org/lectures/lecture.cfm/728838/rabbi-hershel-schachter/eruvin-shiur-118/ Rav Hershel Schachter (Eruvin 118, min 50-53)] also notes that whether Manhattan and Brooklyn join together for one techum depends on whether two overlapping techumin are considered one city.</ref>
#Yet, even according to Chazon Ish's view there are three other arguments that possibly could allow for crossing these bridges. 1) Chazon Ish suggests that cities join together if even just a small part of their squaring off overlap. Rav Elyashiv disagrees.<ref>See [[#Joining_Cities]] above.</ref> If one were to be lenient on this question, then even according to the first method of squaring off Manhattan it joins with Fort Lee and Brooklyn. 2) Tunnels with buildings on top potentially join cities.<ref>Kovetz Chaburot Halacha v. 3 p. 36 notes that the discussion of a subway tunnel joining cities rests upon assuming like Mishna Brurah that if there's a bet dirah in part of the tunnel the entire thing joins onto the city. However, according to Chazon Ish 110:28 argues that only the bet dirah joins and not the rest of the tunnel, there is no basis for this argument.</ref> 3) The Williamsburg bridge had a booth for guards to watch the bridge. Some poskim hold that this makes the entire bridge like a dwelling place and then it would join Manhattan and Brooklyn together. In practice, some rabbis allow walking over the Williamsburg bridges and others do not.<ref>Rav Yitzchak Shpitzer and Rav Yechezkel Shraga Weiss (Poalim Ltorah v. 17 pp. 113-131). [https://www.yutorah.org/lectures/lecture.cfm/728838/rabbi-hershel-schachter/eruvin-shiur-118/ Rav Hershel Schachter (Eruvin 118, min 50-53)] also notes that whether Manhattan and Brooklyn join together for one techum depends on whether two overlapping techumin are considered one city.</ref>
===Techum of Bronx===
===Techum of Bronx===
#There are two methods of how to draw the techum of Bronx. Note, the main area of Bronx has contiguous settlement without breaks of 141.3 amot<ref>Shulchan Aruch O.C. 398:7 writes that two cities join together if they're within 141.3 amot. This is based on Rav Huna in Eruvin 57a and accepted by the poskim.</ref> for most of Bronx, Yonkers, New Rochelle, Scarsdale, and White Plains. The map below demonstrates where highways like Bronx River Parkway, I-95, and I-287 break up the settlement.<ref>Mdarkei Hatechum p. 10 quotes a debate among the rabbis of Chicago whether a highway breaks up a city for purposes of techum if the settlement on either side is further than 141.3 amot apart. Some rabbis including Rav Moshe Heinemann hold certainly a highway does not break up the city since it is meant to be part of the city and others disagree. Mdarkei Hatechum concludes that it does break up the city. Techum Shabbat Umedidato p. 34 holds that highways do not break up a city for purposes of techum.</ref> Additionally, parks and rivers break up the settlement.<Ref>Shulchan Aruch O.C. 398:9 writes that a valley that is usually dry joins onto the city if it is used by the inhabitants of the city. Mishna Brurah 398:46 concludes that other types of areas do not join onto the city just because they are used by the townspeople. Therefore, it is clear from Mishna Brurah that a river that is always flowing does not join onto a city. This is also the assumption of many poskim who discussed cities with rivers splitting them up including: Meishiv Dvar (4:58 s.v. ach, cited by Dirshu 398:63), Mechzeh Eliyahu 1:74, and Minchas Yitzchak 8:33.</ref> Either way, the settlement does not spill over into Connecticut by measuring contiguous settlement.
#There are two methods of how to draw the techum of Bronx. Note, the main area of Bronx has contiguous settlement without breaks of 141.3 amot<ref>Shulchan Aruch O.C. 398:7 writes that two cities join together if they're within 141.3 amot. This is based on Rav Huna in Eruvin 57a and accepted by the poskim.</ref> for most of Bronx, Yonkers, New Rochelle, Scarsdale, and White Plains. The map below demonstrates where highways like Bronx River Parkway, I-95, and I-287 break up the settlement.<ref>Mdarkei Hatechum p. 10 quotes a debate among the rabbis of Chicago whether a highway breaks up a city for purposes of techum if the settlement on either side is further than 141.3 amot apart. Some rabbis including Rav Moshe Heinemann hold certainly a highway does not break up the city since it is meant to be part of the city and others disagree. Mdarkei Hatechum concludes that it does break up the city. Techum Shabbat Umedidato p. 34 holds that highways do not break up a city for purposes of techum.</ref> Additionally, parks and rivers break up the settlement.<Ref>Shulchan Aruch O.C. 398:9 writes that a valley that is usually dry joins onto the city if it is used by the inhabitants of the city. Mishna Brurah 398:46 concludes that other types of areas do not join onto the city just because they are used by the townspeople. Therefore, it is clear from Mishna Brurah that a river that is always flowing does not join onto a city. This is also the assumption of many poskim who discussed cities with rivers splitting them up including: Meishiv Dvar (4:58 s.v. ach, cited by Dirshu 398:63), Mechzeh Eliyahu 1:74, and Minchas Yitzchak 8:33.</ref> Either way, the settlement does not spill over into Connecticut by measuring contiguous settlement.<Ref>See Kovetz Chaburot Halacha v. 3 p. 32 which writes that using Google maps to measure distances between houses is easy and accurate according to the halacha.</ref>
##Method 1: Perhaps Chazon Ish<ref>110:23</ref> would draw the techum of Bronx as a rectangle beginning with the eastern side which is roughly straight and draw a rectangle from there.
##Method 1: Perhaps Chazon Ish<ref>110:23</ref> would draw the techum of Bronx as a rectangle beginning with the eastern side which is roughly straight and draw a rectangle from there.
##Method 2: Bronx isn't a rectangle and so its techum is drawn according to the cardinal directions. Each border is drawn from the furthest point in that direction.<ref>[https://www.yutorah.org/lectures/lecture.cfm/728838/rabbi-hershel-schachter/eruvin-shiur-118/ Rav Hershel Schachter (Eruvin 118, min 53-56)] assumes Bronx is squared off by the cardinal directions.</ref>
##Method 2: Bronx isn't a rectangle and so its techum is drawn according to the cardinal directions. Each border is drawn from the furthest point in that direction.<ref>[https://www.yutorah.org/lectures/lecture.cfm/728838/rabbi-hershel-schachter/eruvin-shiur-118/ Rav Hershel Schachter (Eruvin 118, min 53-56)] assumes Bronx is squared off by the cardinal directions.</ref>
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##Yet, other reasons to permit walking from Washington Heights to Riverdale include: 1) If two overlapping squares is considered one city, then Bronx and Manhattan are considered one city.<ref>[https://www.yutorah.org/lectures/lecture.cfm/728838/rabbi-hershel-schachter/eruvin-shiur-118/ Rav Hershel Schachter (Eruvin 118, min 50-56)]</ref> 2) If the tunnels between Bronx and Manhattan are considered as joining them, then they are considered one city.<ref>See Rav Yitzchak Shpitzer and Rav Yechezkel Shraga Weiss (Poalim Ltorah v. 17 pp. 113-131) and Tikkun Eruvin (fnt. 89).</ref> 3) If someone started Shabbat in a very small sliver of the west side of Washington Heights at the beginning of Shabbat, it is considered as though he was in the square of Bronx. If so, he can walk to Riverdale.<ref>See [[#Joining_Cities]] above.</ref>
##Yet, other reasons to permit walking from Washington Heights to Riverdale include: 1) If two overlapping squares is considered one city, then Bronx and Manhattan are considered one city.<ref>[https://www.yutorah.org/lectures/lecture.cfm/728838/rabbi-hershel-schachter/eruvin-shiur-118/ Rav Hershel Schachter (Eruvin 118, min 50-56)]</ref> 2) If the tunnels between Bronx and Manhattan are considered as joining them, then they are considered one city.<ref>See Rav Yitzchak Shpitzer and Rav Yechezkel Shraga Weiss (Poalim Ltorah v. 17 pp. 113-131) and Tikkun Eruvin (fnt. 89).</ref> 3) If someone started Shabbat in a very small sliver of the west side of Washington Heights at the beginning of Shabbat, it is considered as though he was in the square of Bronx. If so, he can walk to Riverdale.<ref>See [[#Joining_Cities]] above.</ref>
===Techum of Brooklyn===
===Techum of Brooklyn===
# Many poskim hold that Manhattan and Brooklyn are considered one city for purposes of techum.<ref>Minchat Yitzchak 7:24 quotes the Satmer Rebbe held that Manhattan and Brooklyn were one city for purposes of techum.</ref> This could be based on several approaches: 1)Chazon Ish suggested that cities join as long as their squared off boxes overlap. This occurs between Manhattan and Brooklyn. However, many poskim including Rav Elyashiv and Rav Dovid Feinstein do not accept this leniency.<ref>See [[#Joining_Cities]] above.</ref> 2) Minchat Yitzchak<Ref>7:24</ref> writes that the bridges which are built with guard booths join onto the city and connect the cities. Shevet Halevi<Ref>4:40</ref> disagrees with this logic. 3) There are tunnels between Manhattan and Brooklyn and some poskim consider that to join onto the city and connect the cities.<ref>Rav Yitzchak Shpitzer and Rav Yechezkel Shraga Weiss (Poalim Ltorah v. 17 pp. 113-131) and Tikkun Eruvin (fnt. 89)</ref>
#The techum of Brooklyn and Queens is squared off according to the cardinal directions.<ref>Kovetz Chaburot Halacha v. 3 p. 36 writes that since Brooklyn and Queens have contiguous settlement they are one city. He documents how to cross Prospect Parkway, Ocean Blvd, etc. On this basis he writes that Brooklyn and Queens' shape is not rectangular and has no straight side. Therefore, even Chazon Ish agrees that the techum of Brooklyn should be according to the cardinal directions.</ref> The only question is whether the techum should be a rectangle or follow the curvature of the island near Red Hook, Brooklyn since it is an L shape with a stretch of more than 4000 amot. Either way, the techum of Brooklyn includes most of North Manhattan.
##Method 1: The city as a whole is measured by cardinal directions and goes as far as Union City, NJ and includes all of Manhattan.
##Method 2: Only go north from the Queens Midtown Tunnel area because before that there are a bunch of L shaped areas that are more than 4000 amot. Kovetz Chabuot Halacha v. 3 pp. 32-33. The reason not to say this is based on Mechzeh Eliyahu 1:82's understanding of Chazon Ish 110:26 that a L shaped area which has an angle smaller than 90 is not judged like an L. Instead it is judged by the cardinal directions. However, Zecher Tzvi (Techum Shabbat Umedidato p. 11) argues that Chazon Ish meant it isn't judged like an L and is squared off as long as the gap isn't greater than 4000 amot. According to this approach the techum of Brooklyn does not start with the furthest most west point. Rather it only starts at about the Queens Midtown Tunnel since from there going northeast the side of the island is pretty straight. Rav Moshe in Igrot Moshe 4:88 implies that the squaring off of Brooklyn begins from the southern part of Brooklyn and includes the Lower East Side of Manhattan. This implication isn't clear; see Gvul Binyamin p. 302 for lengthy discussion of that point.
 
 
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# Many poskim hold that Manhattan and Brooklyn are considered one city for purposes of techum.<ref>Minchat Yitzchak 7:24 quotes the Satmer Rebbe held that Manhattan and Brooklyn were one city for purposes of techum. Rav Yechezkel Roth (Emek Hahalacha 3:25), and Otzrot Halacha (v. 6 p. 427) agree. See Mishna Halachot 8:178. However, Gvul Binyamin (p. 298) quotes Rav Yishayhu Shimonovitz in the name of his father and Rav Yaakov Kamenetsky that in fact it is forbidden to cross the Williamsburg bridge on Shabbat. Gvul Binyamin argues that the minhag to walk over the Williamsburg bridge is not because of joining cities with overlapping squares but because the squaring off of Brooklyn includes most of Manhattan and the squaring off of Manhattan includes Williamsburg. Walking to the end of the squaring off the city one started Shabbat in is certainly permitted.</ref> This could be based on several approaches: 1)Chazon Ish suggested that cities join as long as their squared off boxes overlap. This occurs between Manhattan and Brooklyn. However, many poskim including Rav Elyashiv and Rav Dovid Feinstein do not accept this leniency.<ref>See [[#Joining_Cities]] above.</ref> 2) Minchat Yitzchak<Ref>7:24</ref> writes that the bridges which are built with guard booths join onto the city and connect the cities. Shevet Halevi<Ref>4:40</ref> disagrees with this logic. 3) There are tunnels between Manhattan and Brooklyn and some poskim consider that to join onto the city and connect the cities.<ref>Rav Yitzchak Shpitzer and Rav Yechezkel Shraga Weiss (Poalim Ltorah v. 17 pp. 113-131) and Tikkun Eruvin (fnt. 89)</ref>
# According to those who hold that Manhattan and Brooklyn are one city for purposes of techum, it is permitted to walk across the Williamsburg bridge on Shabbat.
# According to those who hold that Manhattan and Brooklyn are one city for purposes of techum, it is permitted to walk across the Williamsburg bridge on Shabbat.
 
#Staten Island is beyond the techum of Brooklyn.<Ref>Otzrot Halacha (v. 6 p. 427)</ref>
===Monsey===
#For someone who started Shabbat in Monsey, Manhattan and Westchester are beyond the techum.<Ref>Otzrot Halacha (v. 6 p. 427)</ref>
#Good Samaritan Hospital (Suffern, NY) is within the techum of Monsey.<Ref>Otzrot Halacha (v. 6 p. 427)</ref>
# Mount Cisco Hospital is within techum of New Square.<Ref>Otzrot Halacha (v. 6 p. 427)</ref>
===Chicago===
#Skokie and West Rogers Park are within the same techum according to many rabbonim for two reasons: 1) Perhaps a highway doesn't divide a city. 2) The two halves of the city have overlapping squares which according to Chazon Ish's suggestion joins them together.<ref>Mdarkei Hatechum (Rabbi Mordechai Melanchik)</ref>
==Moving Packages Received on Shabbat==
==Moving Packages Received on Shabbat==
# If one isn't sure if an item was brought from beyond the techum on Shabbos, one may not to move it beyond 4 amot even though techum is rabbinic.<Ref>Beitzah 24b, Shulchan Aruch O.C. 515:1</ref>
# If one isn't sure if an item was brought from beyond the techum on Shabbos, one may not to move it beyond 4 amot even though techum is rabbinic.<Ref>Beitzah 24b, Shulchan Aruch O.C. 515:1</ref>
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