数学の楽園は、数学学習サイトです。

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MathJax数式とXy-pic図形

数学の楽園で作成した、MathJaxの数式と、Xy-pic図形を、置いていきます。ウェブで、数式や図形を書くために、素材としてご利用ください。

平面幾何(図形)分野の素材

平面幾何分野の素材で、直線、角、多角形、移動、作図、のまとめがあります。



直線

\begin{xy} (-10,0)*{}="A", (5,1)*{B}="A", (24,29)*{A}="A", (5,5)*{\bullet}="A", (25,25)*{\bullet}="A", {(-5,-5) \ar @{-}(35,35)}, (4,18)*{直線AB}="A", \end{xy}

平行と垂直

\begin{xy} (-20,0)*{}="A", (-14,14)*{A}="A", (14,14)*{B}="A", (14,-14)*{C}="A", (-14,-14)*{D}="A", (10,10)*{\bullet}="A", (10,-10)*{\bullet}="A", (-10,-10)*{\bullet}="A", (-10,10)*{\bullet}="A", {(-15,10) \ar @{-}(15,10)}, {(-15,-10) \ar @{-}(15,-10)}, (0,20)*{AB\parallel CD}="A", \end{xy} \begin{xy} (-20,0)*{}="A", (-3,14)*{A}="A", (-3,-14)*{B}="A", (-14,3)*{C}="A", (14,-3)*{D}="A", (10,0)*{\bullet}="A", (0,-10)*{\bullet}="A", (-10,0)*{\bullet}="A", (-0,10)*{\bullet}="A", {(-15,0) \ar @{-}(15,0)}, {(-0,-15) \ar @{-}(0,15)}, (0,20)*{AB\perp CD }="A", \end{xy}

角度

\begin{xy} (5,1)*{B}="A", (25,29)*{A}="A", (35,1)*{C}="A", (5,5)*{\bullet}="A", (25,25)*{\bullet}="A", {(5,5) \ar @{-}(30,30)}, (35,5)*{\bullet}="A", {(5,5) \ar @{-}(40,5)}, (21,10)*{\angle ABC }="A", (11,4.5)*{}="E"; (9,10)*{}="F"; "E"; "F" **\crv{(13,8)}; \end{xy}

対頂角

\begin{xy} (-10,-4)*{45^\circ}="A", (10,4)*{45^\circ}="A", {(-20,-20) \ar @{-}(20,20)}, {(-20,0) \ar @{-}(20,0)}, (0,0)*{\bullet}="A", (3,4)*{}="E"; (4,-0.5)*{}="F"; "E"; "F" **\crv{(6,2)}; (-3,-4)*{}="E"; (-4,0.5)*{}="F"; "E"; "F" **\crv{(-6,-2)}; \end{xy} \begin{xy} (-8,-6)*{140^\circ}="A", (6,4)*{\large x}="A", {(-14,20) \ar @{-}(14,-20)}, {(-20,0) \ar @{-}(20,0)}, (0,0)*{\bullet}="A", (-3,3)*{}="E"; (4,-0.5)*{}="F"; "E"; "F" **\crv{(3,6)}; (3,-3)*{}="E"; (-4,0.5)*{}="F"; "E"; "F" **\crv{(-3,-6)}; \end{xy} \begin{xy} (-11,-6)*{60^\circ}="A", (16,-3)*{70^\circ}="A", (13,11)*{\large x}="A", {(-15,-20) \ar @{-}(15,20)}, {(-20,0) \ar @{-}(20,0)}, {(15,20) \ar @{-}(20,0)}, (0,0)*{\bullet}="A", (-2,-3.5)*{}="E"; (-5,0.5)*{}="F"; "E"; "F" **\crv{(-6,-4)}; (20,3.5)*{}="E"; (16,-0.5)*{}="F"; "E"; "F" **\crv{(16,3)}; (10.5,15)*{}="E"; (17,15)*{}="F"; "E"; "F" **\crv{(15,13)}; \end{xy}

同位角 錯角

\begin{xy} (0,3)*{\angle B}="A", (11,18)*{\angle A}="A", (-12.5,0)*{\bullet}="A", (-1,15)*{\bullet}="A", {(-30,15) \ar @{->}(-20,15)}, {(-20,15) \ar @{-}(20,15)}, {(-30,0) \ar @{->}(-20,0)}, {(-20,0) \ar @{-}(20,0)}, {(-20,-10) \ar @{-}(10,30)}, (-9.5,5)*{}="E"; (-7,-0.5)*{}="F"; "E"; "F" **\crv{(-6,3)}; (2,20)*{}="E"; (4.5,14.5)*{}="F"; "E"; "F" **\crv{(5.5,18)}; \end{xy} \begin{xy} (0,3)*{45^\circ}="A", (11,18)*{45^\circ}="A", (-12.5,0)*{\bullet}="A", (-1,15)*{\bullet}="A", {(-30,15) \ar @{->}(-20,15)}, {(-20,15) \ar @{-}(20,15)}, {(-30,0) \ar @{->}(-20,0)}, {(-20,0) \ar @{-}(20,0)}, {(-20,-10) \ar @{-}(10,30)}, (-9.5,5)*{}="E"; (-7,-0.5)*{}="F"; "E"; "F" **\crv{(-6,3)}; (2,20)*{}="E"; (4.5,14.5)*{}="F"; "E"; "F" **\crv{(5.5,18)}; \end{xy} \begin{xy} (6,4)*{\large x}="A", (19,-10)*{130^\circ}="A", {(-7,10) \ar @{-}(14,-20)}, {(-20,0) \ar @{->}(-7,0)}, {(-7,0) \ar @{-}(20,0)}, (0,0)*{\bullet}="A", (9.5,-14)*{\bullet}="A", {(-20,-14) \ar @{->}(-7,-14)}, {(-7,-14) \ar @{-}(20,-14)}, (-3,3)*{}="E"; (4,-0.5)*{}="F"; "E"; "F" **\crv{(3,6)}; (7,-11)*{}="E"; (13.5,-14.5)*{}="F"; "E"; "F" **\crv{(12.5,-8.5)}; \end{xy} \begin{xy} (-8,-4)*{\large x}="A", (16,9)*{140^\circ}="A", {(-15,-20) \ar @{-}(21,28)}, {(-15,0) \ar @{->}(25,0)}, {(25,0) \ar @{-}(30,0)}, {(-15,15) \ar @{->}(25,15)}, {(25,15) \ar @{-}(30,15)}, (0,0)*{\bullet}="A", (11.5,15)*{\bullet}="A", (-2,-3.5)*{}="E"; (-5,0.5)*{}="F"; "E"; "F" **\crv{(-6,-4)}; (8,12)*{}="E"; (16,15.5)*{}="F"; "E"; "F" **\crv{(14,10)}; \end{xy} \begin{xy} (0,3)*{\angle D}="A", (-13,11)*{\angle C}="A", (-12.5,0)*{\bullet}="A", (-1,15)*{\bullet}="A", {(-30,15) \ar @{->}(-20,15)}, {(-20,15) \ar @{-}(20,15)}, {(-30,0) \ar @{->}(-20,0)}, {(-20,0) \ar @{-}(20,0)}, {(-20,-10) \ar @{-}(10,30)}, (-9.5,5)*{}="E"; (-7,-0.5)*{}="F"; "E"; "F" **\crv{(-6,3)}; (-4,10)*{}="E"; (-6.5,15.5)*{}="F"; "E"; "F" **\crv{(-7.5,12)}; \end{xy} \begin{xy} (0,3)*{50^\circ}="A", (-13,12)*{50^\circ}="A", (-12.5,0)*{\bullet}="A", (-1,15)*{\bullet}="A", {(-30,15) \ar @{->}(-20,15)}, {(-20,15) \ar @{-}(20,15)}, {(-30,0) \ar @{->}(-20,0)}, {(-20,0) \ar @{-}(20,0)}, {(-20,-10) \ar @{-}(10,30)}, (-9.5,5)*{}="E"; (-7,-0.5)*{}="F"; "E"; "F" **\crv{(-6,3)}; (-4,10)*{}="E"; (-6.5,15.5)*{}="F"; "E"; "F" **\crv{(-7.5,12)}; \end{xy} \begin{xy} (8,-3)*{\large x}="A", (0,-11.5)*{60^\circ}="A", {(-7,10) \ar @{-}(14,-20)}, {(-20,0) \ar @{->}(-7,0)}, {(-7,0) \ar @{-}(20,0)}, (0,0)*{\bullet}="A", (9.5,-14)*{\bullet}="A", {(-20,-14) \ar @{->}(-7,-14)}, {(-7,-14) \ar @{-}(20,-14)}, (2,-4)*{}="E"; (5,0.5)*{}="F"; "E"; "F" **\crv{(6,-3)}; (7.5,-10)*{}="E"; (5,-14.5)*{}="F"; "E"; "F" **\crv{(4,-11)}; \end{xy} \begin{xy} (-4,6)*{\large x}="A", (18,9)*{140^\circ}="A", {(-15,-20) \ar @{-}(21,28)}, {(-15,0) \ar @{->}(25,0)}, {(25,0) \ar @{-}(30,0)}, {(-15,15) \ar @{->}(25,15)}, {(25,15) \ar @{-}(30,15)}, (0,0)*{\bullet}="A", (11.5,15)*{\bullet}="A", (3.5,4)*{}="E"; (-5,-0.5)*{}="F"; "E"; "F" **\crv{(-2,5)}; (8,12)*{}="E"; (16,15.5)*{}="F"; "E"; "F" **\crv{(14,10)}; \end{xy}

平行線と角

\begin{xy} (16,3)*{60^\circ}="A", (6,18)*{x}="A", {(-25,15) \ar @{->}(-20,15)}, {(-20,15) \ar @{-}(25,15)}, {(-25,0) \ar @{->}(-20,0)}, {(-20,0) \ar @{-}(25,0)}, {(-25,-15) \ar @{->}(-19,-7)}, {(-19,-7) \ar @{-}(5,25)}, {(-5,-15) \ar @{->}(1,-7)}, {(1,-7) \ar @{-}(25,25)}, (9.5,5)*{}="E"; (11,-0.5)*{}="F"; "E"; "F" **\crv{(12,3)}; (0.5,20)*{}="E"; (2.5,14.5)*{}="F"; "E"; "F" **\crv{(3.5,18)}; \end{xy} \begin{xy} (16,3)*{60^\circ}="A", (8,18)*{60^\circ}="A", (-3,3)*{60^\circ}="A", {(-25,15) \ar @{->}(-20,15)}, {(-20,15) \ar @{-}(25,15)}, {(-25,0) \ar @{->}(-20,0)}, {(-20,0) \ar @{-}(25,0)}, {(-25,-15) \ar @{->}(-19,-7)}, {(-19,-7) \ar @{-}(5,25)}, {(-5,-15) \ar @{->}(1,-7)}, {(1,-7) \ar @{-}(25,25)}, (9.5,5)*{}="E"; (11,-0.5)*{}="F"; "E"; "F" **\crv{(12,3)}; (0.5,20)*{}="E"; (2.5,14.5)*{}="F"; "E"; "F" **\crv{(3.5,18)}; (-10.5,5)*{}="E"; (-8,-0.5)*{}="F"; "E"; "F" **\crv{(-7,3)}; \end{xy} \begin{xy} (-1,3)*{28^\circ}="A", (8,27)*{57^\circ}="A", (-2,14)*{x}="A", {(-25,30) \ar @{->}(-20,30)}, {(-20,30) \ar @{-}(25,30)}, {(-25,0) \ar @{->}(-20,0)}, {(-20,0) \ar @{-}(25,0)}, {(-14,0) \ar @{-}(6,13)}, {(6,13) \ar @{-}(-3,30)}, (4,18)*{}="E"; (3,10)*{}="F"; "E"; "F" **\crv{(-1,14)}; (-7,-0.5)*{}="E"; (-9,4)*{}="F"; "E"; "F" **\crv{(-6,3)}; (2,30.5)*{}="E"; (-1,25)*{}="F"; "E"; "F" **\crv{(3,27)}; \end{xy}

正3角形

\begin{xy} (-5,-4)*{}="A", (2,-4)*{B}="A", (37,-4)*{C}="A", (20,34)*{A}="A", (0,0)*{\bullet}="A", (40,0)*{\bullet}="A", (20,29)*{\bullet}="A", {(0,0) \ar @{-}(40,0)}, {(0,0) \ar @{-}(20,29)}, {(40,0) \ar @{-}(20,29)}, \end{xy} \begin{xy} (-5,-4)*{}="A", (2,-33)*{B}="A", (37,-33)*{C}="A", (20,3)*{A}="A", (20,-4)*{\circ}="A", (36,-27)*{\circ}="A", (4,-27)*{\circ}="A", {(0,-29) \ar @{-}(40,-29)}, {(0,-29) \ar @{-}(20,-0)}, {(40,-29) \ar @{-}(20,0)}, {(7,-16) \ar @{-}(10,-18)}, {(33,-16) \ar @{-}(30,-18)}, {(20,-27) \ar @{-}(20,-31)}, (16,-5)*{}="E"; (24,-5)*{}="F"; "E"; "F" **\crv{(20,-8)}; (37,-23)*{}="E"; (34,-29.5)*{}="F"; "E"; "F" **\crv{(33,-25)}; (3,-23.5)*{}="E"; (6,-29.5)*{}="F"; "E"; "F" **\crv{(7,-25)}; \end{xy}

2等辺3角形

\begin{xy} (25,0)*{A}="A", (0,-36)*{C}="A", (50,-36)*{B}="A", (25,-36)*{M}="A", {(25,-3) \ar @{-}(0,-33)}, {(25,-3) \ar @{-}(50,-33)}, {(0,-33) \ar @{-}(50,-33)}, {(25,-3) \ar @{-}(25,-33)}, {(14,-19) \ar @{-}(11,-17)}, {(36,-19) \ar @{-}(39,-17)}, {(12,-35) \ar @{-}(12,-31)}, {(13,-35) \ar @{-}(13,-31)}, {(38,-35) \ar @{-}(38,-31)}, {(37,-35) \ar @{-}(37,-31)}, \end{xy} \begin{xy} (50,0)*{D}="A", (0,-30)*{F}="A", (50,-66)*{E}="A", (47,-30)*{N}="A", {(50,-3) \ar @{-}(0,-33)}, {(50,-63) \ar @{-}(50,-33)}, {(0,-33) \ar @{-}(50,-63)}, {(0,-33) \ar @{-}(50,-33)}, {(50,-3) \ar @{-}(50,-33)}, \end{xy}

直角3角形

\begin{xy} (5,1)*{D}="A", (11,43)*{E}="A", (33,8)*{F}="A", (5,5)*{\bullet}="A", (5,45)*{\bullet}="A", (30,5)*{\bullet}="A", {(5,5) \ar @{-}(5,45)}, {(5,5) \ar @{-}(30,5)}, {(30,5) \ar @{-}(5,45)}, \end{xy} \begin{xy} (21,13)*{90^\circ}="A", (10,3)*{50^\circ}="A", (33.5,3)*{40^\circ}="A", {(0,0) \ar @{-}(45,0)}, {(20,21) \ar @{-}(45,0)}, {(00,0) \ar @{-}(20,21)}, (3,4)*{}="E"; (5,-0.5)*{}="F"; "E"; "F" **\crv{(6,3)}; {(18,18.5) \ar @{-}(20,17)}, {(22,19) \ar @{-}(20,17)}, (41,4)*{}="E"; (40,-0.5)*{}="F"; "E"; "F" **\crv{(38,2)}; \end{xy} \begin{xy} (10,-3)*{45^\circ}="A", (30,-3)*{45^\circ}="A", {(0,0) \ar @{-}(40,0)}, {(0,0) \ar @{-}(20,-20)}, {(40,0) \ar @{-}(20,-20)}, (3,-3.5)*{}="E"; (5,0.5)*{}="F"; "E"; "F" **\crv{(6,-3)}; (36.5,-4.5)*{}="E"; (34,0.5)*{}="F"; "E"; "F" **\crv{(34,-3)}; \end{xy} \begin{xy} (0,0)*{A}="A", (0,-27)*{C}="A", (15,-27)*{B}="A", (2,-14)*{6}="A", (8,-20.5)*{4}="A", {(0,-3) \ar @{-}(0,-23)}, {(0,-23) \ar @{-}(15,-23)}, {(0,-3) \ar @{-}(15,-23)}, {(2,-21) \ar @{-}(2,-23)}, {(2,-21) \ar @{-}(0,-21)}, (30,-10)*{G}="A", (30,-27)*{I}="A", (53,-27)*{H}="A", (32,-18)*{3}="A", (42,-26)*{8}="A", {(30,-13) \ar @{-}(30,-23)}, {(30,-23) \ar @{-}(55,-23)}, {(30,-13) \ar @{-}(55,-23)}, {(32,-21) \ar @{-}(32,-23)}, {(32,-21) \ar @{-}(30,-21)}, \end{xy} \begin{xy} (0,0)*{A}="A", (0,-27)*{C}="A", (15,-27)*{B}="A", (2,-14)*{6}="A", (8,-20.5)*{4}="A", {(0,-3) \ar @{-}(0,-23)}, {(0,-23) \ar @{-}(15,-23)}, {(0,-3) \ar @{-}(15,-23)}, {(2,-21) \ar @{-}(2,-23)}, {(2,-21) \ar @{-}(0,-21)}, (30,0)*{G}="A", (45,-27)*{I}="A", (45,0)*{H}="A", (42.5,-14)*{6}="A", (38,-6)*{4}="A", {(30,-3) \ar @{-}(45,-3)}, {(30,-3) \ar @{-}(45,-23)}, {(45,-3) \ar @{-}(45,-23)}, {(43,-3) \ar @{-}(43,-5)}, {(45,-5) \ar @{-}(43,-5)}, \end{xy} \begin{xy} (0,0)*{J}="A", (0,-20)*{L}="A", (21,-20)*{K}="A", (2,-8)*{4}="A", (11,-14)*{6}="A", {(0,-3) \ar @{-}(0,-16)}, {(0,-16) \ar @{-}(23,-16)}, {(0,-3) \ar @{-}(23,-16)}, {(2,-14) \ar @{-}(2,-16)}, {(2,-14) \ar @{-}(0,-14)}, (31,-27)*{O}="A", (45,-27)*{N}="A", (45,0)*{M}="A", (42.5,-14)*{6}="A", (38,-20.5)*{4}="A", {(30,-23) \ar @{-}(45,-3)}, {(30,-23) \ar @{-}(45,-23)}, {(45,-3) \ar @{-}(45,-23)}, {(43,-23) \ar @{-}(43,-21)}, {(43,-21) \ar @{-}(45,-21)}, \end{xy} \begin{xy} (25,0)*{A}="A", (0,-36)*{C}="A", (50,-36)*{B}="A", (25,-29.5)*{D}="A", (10,-16)*{F}="A", (40,-16)*{E}="A", {(25,-3) \ar @{-}(0,-33)}, {(25,-3) \ar @{-}(50,-33)}, {(0,-33) \ar @{-}(50,-33)}, {(25,-3) \ar @{-}(25,-26.5)}, {(12.5,-18) \ar @{-}(25,-26.5)}, {(37.5,-18) \ar @{-}(25,-26.5)}, {(14.5,-15.5) \ar @{-}(17,-17.5)}, {(15,-20) \ar @{-}(17,-17.5)}, {(35.5,-15.5) \ar @{-}(33,-17.5)}, {(35,-20) \ar @{-}(33,-17.5)}, {(19.5,-21) \ar @{-}(17.5,-23.5)}, {(30.5,-21) \ar @{-}(32.5,-23.5)}, \end{xy} \begin{xy} (50,0)*{D}="A", (0,-30)*{F}="A", (50,-66)*{E}="A", (43,-33)*{G}="A", (29,-12)*{H}="A", (29,-54)*{I}="A", {(50,-3) \ar @{-}(0,-33)}, {(50,-63) \ar @{-}(50,-33)}, {(0,-33) \ar @{-}(50,-63)}, {(0,-33) \ar @{-}(40,-33)}, {(50,-3) \ar @{-}(50,-33)}, {(31,-14.5) \ar @{-}(40,-33)}, {(31,-51.5) \ar @{-}(40,-33)}, {(28,-16) \ar @{-}(29.5,-19)}, {(32.5,-17.5) \ar @{-}(29.5,-19)}, {(28,-50) \ar @{-}(29.5,-47)}, {(32.5,-48.5) \ar @{-}(29.5,-47)}, {(34,-26) \ar @{-}(38,-24)}, {(34,-40) \ar @{-}(38,-42)}, \end{xy}

3角形

\begin{xy} (5,1)*{A}="A", (25,29)*{B}="A", (35,1)*{C}="A", (5,5)*{\bullet}="A", (25,25)*{\bullet}="A", {(5,5) \ar @{-}(25,25)}, (35,5)*{\bullet}="A", {(35,5) \ar @{-}(5,5)}, {(35,5) \ar @{-}(25,25)}, (20,8)*{\bigtriangleup ABC }="A", \end{xy} \begin{xy} (37,7)*{外角}="A", (7,-7)*{外角}="A", (10,31)*{外角}="A", {(0,0) \ar @{-}(45,0)}, {(-8,-12) \ar @{-}(20,30)}, {(30,0) \ar @{-}(16,42)}, (2.5,5)*{}="E"; (5,-0.5)*{}="F"; "E"; "F" **\crv{(6,3)}; (-4,-5)*{}="E"; (5.5,0.5)*{}="F"; "E"; "F" **\crv{(3,-5)}; (16,25)*{}="E"; (22.5,25)*{}="F"; "E"; "F" **\crv{(19,22)}; (16.5,24)*{}="E"; (19,35)*{}="F"; "E"; "F" **\crv{(13,31)}; (29,5)*{}="E"; (26,-0.5)*{}="F"; "E"; "F" **\crv{(26,3)}; (28,4.5)*{}="E"; (34,-0.5)*{}="F"; "E"; "F" **\crv{(32,6)}; \end{xy} \begin{xy} (19,20)*{38^\circ}="A", (10,3)*{65^\circ}="A", (23,3)*{77^\circ}="A", (20,-4)*{鋭角三角形}="A", {(0,0) \ar @{-}(30,0)}, {(0,0) \ar @{-}(20,30)}, {(30,0) \ar @{-}(20,30)}, (2.5,5)*{}="E"; (5,-0.5)*{}="F"; "E"; "F" **\crv{(6,3)}; (16,25)*{}="E"; (22.5,25)*{}="F"; "E"; "F" **\crv{(19,22)}; (29,5)*{}="E"; (26,-0.5)*{}="F"; "E"; "F" **\crv{(26,3)}; \end{xy} \begin{xy} (21,13)*{90^\circ}="A", (10,3)*{50^\circ}="A", (33.5,3)*{40^\circ}="A", (20,-4)*{直角三角形}="A", {(0,0) \ar @{-}(45,0)}, {(20,21) \ar @{-}(45,0)}, {(00,0) \ar @{-}(20,21)}, (3,4)*{}="E"; (5,-0.5)*{}="F"; "E"; "F" **\crv{(6,3)}; {(18,18.5) \ar @{-}(20,17)}, {(22,19) \ar @{-}(20,17)}, (41,4)*{}="E"; (40,-0.5)*{}="F"; "E"; "F" **\crv{(38,2)}; \end{xy} \begin{xy} (21,8)*{112^\circ}="A", (10,3)*{38^\circ}="A", (33.5,3)*{30^\circ}="A", (20,-4)*{鈍角三角形}="A", {(0,0) \ar @{-}(45,0)}, {(20,15) \ar @{-}(45,0)}, {(00,0) \ar @{-}(20,15)}, (3.5,3)*{}="E"; (5,-0.5)*{}="F"; "E"; "F" **\crv{(6,2)}; (16.5,13)*{}="E"; (23,14)*{}="F"; "E"; "F" **\crv{(20,10)}; (40,4)*{}="E"; (39,-0.5)*{}="F"; "E"; "F" **\crv{(37,2)}; \end{xy} \begin{xy} (19,-12)*{70^\circ}="A", (10,-3)*{44^\circ}="A", (33.5,-3)*{66^\circ}="A", {(0,0) \ar @{-}(30,0)}, {(0,0) \ar @{-}(20,-20)}, {(30,0) \ar @{-}(20,-20)}, (3,-3.5)*{}="E"; (5,0.5)*{}="F"; "E"; "F" **\crv{(6,-3)}; (16,-17)*{}="E"; (22.5,-16)*{}="F"; "E"; "F" **\crv{(19,-14)}; (29,-3.5)*{}="E"; (26,0.5)*{}="F"; "E"; "F" **\crv{(26,-3)}; \end{xy} \begin{xy} (10,-3)*{34^\circ}="A", (33.5,-3)*{46^\circ}="A", {(0,0) \ar @{-}(46,0)}, {(0,0) \ar @{-}(20,-20)}, {(46,0) \ar @{-}(20,-20)}, (3,-3.5)*{}="E"; (5,0.5)*{}="F"; "E"; "F" **\crv{(6,-3)}; (41,-4.5)*{}="E"; (39,0.5)*{}="F"; "E"; "F" **\crv{(38,-3)}; \end{xy} \begin{xy} (10,-3)*{45^\circ}="A", (30,-3)*{45^\circ}="A", {(0,0) \ar @{-}(40,0)}, {(0,0) \ar @{-}(20,-20)}, {(40,0) \ar @{-}(20,-20)}, (3,-3.5)*{}="E"; (5,0.5)*{}="F"; "E"; "F" **\crv{(6,-3)}; (36.5,-4.5)*{}="E"; (34,0.5)*{}="F"; "E"; "F" **\crv{(34,-3)}; \end{xy} \begin{xy} (22,0)*{A}="A", (0,-31)*{C}="A", (18,-24)*{B}="A", (8,-14)*{13}="A", (21.5,-14)*{8}="A", (10,-26.5)*{7}="A", {(0,-28) \ar @{-}(18,-21)}, {(0,-28) \ar @{-}(22,-3)}, {(22,-3) \ar @{-}(18,-21)}, (30,0)*{D}="A", (34,-24)*{F}="A", (52,-31)*{E}="A", {(30,-3) \ar @{-}(52,-28)}, {(30,-3) \ar @{-}(34,-21)}, {(52,-28) \ar @{-}(34,-21)}, \end{xy}

合同な3角形

\begin{xy} (0,0)*{A}="A", (30,0)*{B}="A", (15,-14)*{C}="A", (10,-26)*{E}="A", (40,-26)*{D}="A", (15,0)*{5}="A", (25,-26)*{5}="A", {(0,-3) \ar @{->}(20,-3)}, {(20,-3) \ar @{-}(30,-3)}, {(10,-23) \ar @{->}(30,-23)}, {(30,-23) \ar @{-}(40,-23)}, {(0,-3) \ar @{-}(40,-23)}, {(10,-23) \ar @{-}(30,-3)}, \end{xy} \begin{xy} (0,0)*{E}="A", (0,-36)*{F}="A", (16,-18)*{G}="A", (30,-10)*{I}="A", (30,-46)*{H}="A", (3,-18)*{7}="A", (27,-28)*{7}="A", {(0,-3) \ar @{->}(0,-23)}, {(0,-23) \ar @{-}(0,-33)}, {(30,-13) \ar @{->}(30,-33)}, {(30,-33) \ar @{-}(30,-43)}, {(0,-3) \ar @{-}(30,-43)}, {(30,-13) \ar @{-}(0,-33)}, \end{xy} \begin{xy} (10,2)*{\small A}="A", (0,-16)*{\small C}="A", (25,-16)*{\small B}="A", (13,-16)*{\small 5}="A", (19,-5)*{\small 4}="A", (3,-5)*{\small 3}="A", {(10,0) \ar @{-}(0,-13)}, {(25,-13) \ar @{-}(0,-13)}, {(10,0) \ar @{-}(25,-13)}, (30,2)*{\small D}="A", (55,2)*{\small E}="A", (40,-16)*{\small F}="A", (41,2)*{\small 5}="A", (47,-9)*{\small 4}="A", (46,-3)*{\scriptsize 40^\circ}="A", {(40,-13) \ar @{-}(30,0)}, {(55,0) \ar @{-}(30,0)}, {(40,-13) \ar @{-}(55,0)}, (50,0.5)*{}="E"; (52,-3.3)*{}="F"; "E"; "F" **\crv{(49,-2)}; \end{xy} \begin{xy} (13,2)*{\small G}="A", (0,-16)*{\small I}="A", (25,-16)*{\small H}="A", (13,-16)*{\small 5}="A", (18,-11)*{\scriptsize 55^\circ}="A", (8,-11)*{\scriptsize 45^\circ}="A", {(13,0) \ar @{-}(0,-13)}, {(25,-13) \ar @{-}(0,-13)}, {(13,0) \ar @{-}(25,-13)}, (4,-13.5)*{}="E"; (3,-9)*{}="F"; "E"; "F" **\crv{(5,-11)}; (21,-13.5)*{}="E"; (22,-9)*{}="F"; "E"; "F" **\crv{(20,-11)}; (30,2)*{\small J}="A", (45,-16)*{\small L}="A", (55,2)*{\small K}="A", (43,2)*{\small 5}="A", (51.5,-7)*{\small 4}="A", (35,-7)*{\small 3}="A", {(45,-13) \ar @{-}(30,0)}, {(55,0) \ar @{-}(30,0)}, {(45,-13) \ar @{-}(55,0)}, \end{xy} \begin{xy} (0,2)*{\small M}="A", (25,2)*{\small N}="A", (15,-16)*{\small O}="A", (13,2)*{\small 5}="A", (7,-9)*{\small 4}="A", (8,-3)*{\scriptsize 40^\circ}="A", {(15,-13) \ar @{-}(0,0)}, {(25,0) \ar @{-}(0,0)}, {(15,-13) \ar @{-}(25,0)}, (5,0.5)*{}="E"; (3,-3.3)*{}="F"; "E"; "F" **\crv{(5,-2)}; (43,-16)*{\small R}="A", (30,2)*{\small P}="A", (55,2)*{\small Q}="A", (43,2)*{\small 5}="A", (48,-2)*{\scriptsize 55^\circ}="A", (38,-2)*{\scriptsize 45^\circ}="A", {(43,-13) \ar @{-}(30,0)}, {(55,0) \ar @{-}(30,0)}, {(43,-13) \ar @{-}(55,0)}, (34,+0.5)*{}="E"; (33,-4)*{}="F"; "E"; "F" **\crv{(35,-2)}; (51,+0.5)*{}="E"; (52,-4)*{}="F"; "E"; "F" **\crv{(50,-2)}; \end{xy}

正方形

\begin{xy} (-20,0)*{}="A", (-14,14)*{A}="A", (14,14)*{B}="A", (14,-14)*{C}="A", (-14,-14)*{D}="A", (10,10)*{\bullet}="A", (10,-10)*{\bullet}="A", (-10,-10)*{\bullet}="A", (-10,10)*{\bullet}="A", {(-10,10) \ar @{-}(10,10)}, {(10,10) \ar @{-}(10,-10)}, {(10,-10) \ar @{-}(-10,-10)}, {(-10,-10) \ar @{-}(-10,10)}, \end{xy}

4角形

\begin{xy} (5,0)*{A}="A", (25,-27)*{C}="A", (20,-5)*{B}="A", (2,-27)*{D}="A", (8,-9)*{\small 77^\circ}="A", (17,-13)*{\small 124^\circ}="A", (6,-20)*{\small 80^\circ}="A", {(5,-3) \ar @{-}(0,-24)}, {(20,-8) \ar @{-}(5,-3)}, {(20,-8) \ar @{-}(28,-24)}, {(0,-24) \ar @{-}(28,-24)}, (4,-6)*{}="E"; (8,-3.5)*{}="F"; "E"; "F" **\crv{(7,-6)}, (22,-10)*{}="E"; (18,-7)*{}="F"; "E"; "F" **\crv{(18,-11)}, (3,-24.5)*{}="E"; (0,-21)*{}="F"; "E"; "F" **\crv{(3,-21)}, (35,0)*{E}="A", (55,-27)*{G}="A", (50,-5)*{F}="A", (32,-27)*{H}="A", {(35,-3) \ar @{-}(30,-24)}, {(50,-8) \ar @{-}(35,-3)}, {(50,-8) \ar @{-}(58,-24)}, {(30,-24) \ar @{-}(58,-24)}, \end{xy}

\begin{xy} (0,0)*{\bullet}="A", (-4,0)*{O}="A", (0,0) *\cir<20mm>{}, (0,25)*{円O}="A", \end{xy}

円と弧

\begin{xy} (0,0)*{\bullet}="A", (-4,0)*{O}="A", (0,0) *\cir<20mm>{}, (14,14)*{\bullet}="A", (14,-14)*{\bullet}="A", (14,19)*{A}="A", (14,-19)*{B}="A", {(0,0) \ar @{.}(14,14)}, {(0,0) \ar @{.}(14,-14)}, \end{xy} \begin{xy} (0,0)*{\bullet}="A", (-4,0)*{O}="A", (0,0) *\cir<20mm>{dr_dl}, (14,14)*{\bullet}="A", (14,-14)*{\bullet}="A", (14,19)*{A}="A", (14,-19)*{B}="A", {(0,0) \ar @{.}(14,14)}, {(0,0) \ar @{.}(14,-14)}, (14,0)*{\stackrel{ \Large \frown }{ AB }}="A", \end{xy}

円と弦

\begin{xy} (0,0)*{\bullet}="A", (-4,0)*{O}="A", (0,0) *\cir<20mm>{}, (14,14)*{\bullet}="A", (14,-14)*{\bullet}="A", (14,19)*{A}="A", (14,-19)*{B}="A", {(14,14) \ar @{-}(14,-14)}, {(0,0) \ar @{.}(14,14)}, {(0,0) \ar @{.}(14,-14)}, \end{xy} \begin{xy} (-20,0)*{}="A", (0,0)*{\bullet}="A", (-4,0)*{O}="A", (14,14)*{\bullet}="A", (14,-14)*{\bullet}="A", (14,19)*{A}="A", (14,-19)*{B}="A", {(14,14) \ar @{-}(14,-14)}, {(0,0) \ar @{.}(14,14)}, {(0,0) \ar @{.}(14,-14)}, (21,0)*{弦AB}="A", \end{xy}

円と扇形

\begin{xy} (0,0)*{\bullet}="A", (-4,0)*{O}="A", (0,0) *\cir<20mm>{}, (14,14)*{\bullet}="A", (14,-14)*{\bullet}="A", (14,19)*{A}="A", (14,-19)*{B}="A", {(0,0) \ar @{-}(14,14)}, {(0,0) \ar @{-}(14,-14)}, \end{xy} \begin{xy} (0,0)*{\bullet}="A", (-4,0)*{O}="A", (0,0) *\cir<20mm>{dr_dl}, (14,14)*{\bullet}="A", (14,-14)*{\bullet}="A", (14,19)*{A}="A", (14,-19)*{B}="A", {(0,0) \ar @{-}(14,14)}, {(0,0) \ar @{-}(14,-14)}, (11,0)*{おうぎ形}="A", \end{xy} \begin{xy} (0,0)*{\bullet}="A", (-4,0)*{O}="A", (0,0) *\cir<20mm>{dr_dl}, (14,14)*{\bullet}="A", (14,-14)*{\bullet}="A", (14,19)*{A}="A", (14,-19)*{B}="A", {(0,0) \ar @{-}(14,14)}, {(0,0) \ar @{-}(14,-14)}, (0,0) *\cir<5mm>{dr_dl}, (12,3)*{中心角}="A", (12,-2)*{AOB}="A", \end{xy}

円と接線

\begin{xy} (0,20)*{\bullet}="A", (-4,20)*{O}="A", (0,20) *\cir<20mm>{}, {(-20,0) \ar @{-}(20,0)}, (-16,-3)*{接線}="A", (0,0)*{\bullet}="A", {(0,50) \ar @{-}(23,25)}, (8,48)*{接線}="A", (15,33)*{\bullet}="A", \end{xy} \begin{xy} (0,20)*{\bullet}="A", (-4,20)*{O}="A", (0,20) *\cir<20mm>{}, {(-20,35) \ar @{-}(17,45)}, (-20,40)*{K}="A", (-4,40)*{\bullet}="A", {(-22,25) \ar @{-}(23,30)}, (20,32)*{L}="A", (-19,25)*{\bullet}="A", (18,29)*{\bullet}="A", {(-20,0) \ar @{-}(25,0)}, (20,3)*{M}="A", (0,0)*{\bullet}="A", {(-20,-5) \ar @{-}(25,-10)}, (20,-7)*{N}="A", \end{xy} \begin{xy} (0,20)*{\bullet}="A", (-4,20)*{O}="A", (0,20) *\cir<20mm>{}, {(0,50) \ar @{-}(23,25)}, {(-20,0) \ar @{-}(20,0)}, (0,-3)*{接点}="A", (0,0)*{\bullet}="A", (21,35)*{接点}="A", (15,33)*{\bullet}="A", \end{xy} \begin{xy} (0,20)*{\bullet}="A", (-4,20)*{O}="A", (0,20) *\cir<20mm>{}, {(0,50) \ar @{-}(23,25)}, {(-20,0) \ar @{-}(20,0)}, (0,0)*{\bullet}="A", {(0,20) \ar @{-}(0,0)}, {(4,0) \ar @{-}(4,4)}, {(0,4) \ar @{-}(4,4)}, (15,33)*{\bullet}="A", {(0,20) \ar @{-}(15,33)}, {(18,30) \ar @{-}(15,27)}, {(12,30) \ar @{-}(15,27)}, \end{xy} \begin{xy} (0,20)*{\bullet}="A", (-4,20)*{O}="A", (0,20) *\cir<20mm>{}, {(20,45) \ar @{-}(20,-5)}, (23,20)*{B}="A", (20,20)*{\bullet}="A", {(-20,0) \ar @{-}(25,0)}, (0,-3)*{A}="A", (0,0)*{\bullet}="A", {(0,0) \ar @{-}(0,20)}, {(20,20) \ar @{-}(0,20)}, (20,0)*{\bullet}="A", (23,-3)*{C}="A", {(0,17) \ar @{-}(3,17)}, {(3,20) \ar @{-}(3,17)}, {(0,3) \ar @{-}(3,3)}, {(3,0) \ar @{-}(3,3)}, {(17,17) \ar @{-}(20,17)}, {(17,20) \ar @{-}(17,17)}, \end{xy}

平行移動

\begin{xy} (20,24)*{A^{\prime}}="A", (0,19)*{A}="A", (5,1)*{B}="A", (25,6)*{ B^{\prime}}="A", (18,36)*{AB\,\, を \,\, A^{\prime}B^{\prime} \,へ平行移動}="A", (0,15)*{\bullet}="A", (20,20)*{\bullet}="A", {(0,15) \ar @{.>}(20,20)}, (5,5)*{\bullet}="A", (25,10)*{\bullet}="A", {(5,5) \ar @{.>}(25,10)}, {(0,15) \ar @{-}(5,5)}, {(20,20) \ar @{-}(25,10)}, \end{xy} \begin{xy} (7,1)*{B}="A", (29,29)*{A}="A", (37,1)*{C}="A", (5,5)*{\bullet}="A", (25,25)*{\bullet}="A", {(5,5) \ar @{-}(25,25)}, (35,5)*{\bullet}="A", {(35,5) \ar @{-}(5,5)}, {(35,5) \ar @{-}(25,25)}, (25,55)*{\bullet}="A", (5,35)*{\bullet}="A", (35,35)*{\bullet}="A", (29,60)*{A^{\prime}}="A", (9,32)*{B^{\prime}}="A", (39,32)*{C^{\prime}}="A", {(25,55) \ar @{-}(5,35)}, {(25,55) \ar @{-}(35,35)}, {(5,35) \ar @{-}(35,35)}, {(35,5) \ar @{.>}(35,35)}, {(25,25) \ar @{.>}(25,55)}, {(5,5) \ar @{.>}(5,35)}, \end{xy}

回転移動

\begin{xy} (-15,0)*{}="A", (0,0)*{\bullet}="A", (10,17)*{\bullet}="A", (-10,17)*{\bullet}="A", (-10,17)*{\bullet}="A", (0,-5)*{O}="A", (0,-10)*{回転の中心}="A", (-13,22)*{A}="A", (13,22)*{A^{\prime}}="A", {(0,0) \ar @{.}(10,17)}, {(0,0) \ar @{.}(-10,17)}, (-10,17)*{}="E"; (10,17)*{}="F"; "E"; "F" **\crv{(0,22)} ?(.6)*\dir{>}; (-3,4)*{}="G"; (3,4)*{}="H"; "G"; "H" **\crv{(0,7)} ; (1,8)*{30^\circ}="A", \end{xy}

対称移動

\begin{xy} (-20,0)*{}="A", (0,18)*{\bullet}="A", (0,-18)*{\bullet}="A", (-15,0)*{\bullet}="A", (15,0)*{\bullet}="A", (0,0)*{\bullet}="A", {(0,25) \ar @{-}(0,-25)}, {(-15,0) \ar @{.}(15,0)}, {(0,4) \ar @{-}(4,4)}, {(4,0) \ar @{-}(4,4)}, {(-8,-2) \ar @{-}(-8,2)}, {(8,-2) \ar @{-}(8,2)}, (-17,4)*{A}="A", (17,4)*{A^{\prime}}="A", (-4,-4)*{H}="A", (-4,20)*{B}="A", (-4,-20)*{C}="A", \end{xy} \begin{xy} {(-20,0) \ar @{-}(20,0)}, (-12,14)*{\bullet}="A", (0,8)*{\bullet}="A", (12,18)*{\bullet}="A", {(-12,14) \ar @{-}(0,8)}, {(12,18) \ar @{-}(0,8)}, {(-12,14) \ar @{-}(12,18)}, (-16,14)*{A}="A", (-4,4)*{B}="A", (12,22)*{C}="A", (-12,-14)*{\bullet}="A", (0,-8)*{\bullet}="A", (12,-18)*{\bullet}="A", {(-12,-14) \ar @{-}(0,-8)}, {(12,-18) \ar @{-}(0,-8)}, {(-12,-14) \ar @{-}(12,-18)}, (-16,-14)*{A{\prime}}="A", (-4,-4)*{B{\prime}}="A", (12,-22)*{C{\prime}}="A", {(-12,-14) \ar @{.}(-12,14)}, {(12,-18) \ar @{.}(12,18)}, {(0,-8) \ar @{.}(0,8)}, \end{xy}

垂直2等分線

\begin{xy} (-20,0)*{}="A", (-10,0)*{\bullet}="A", (10,0)*{\bullet}="A", {(-10,0) \ar @{-}(10,0)}, (-10,5)*{A}="A", (10,5)*{B}="A", (-10,0) *\cir<15mm>{r_l}, (10,0) *\cir<15mm>{l_r}, (0,11)*{\bullet}="A", (0,-11)*{\bullet}="A", {(0,30) \ar @{-}(0,-30)}, {(3,3) \ar @{-}(3,0)}, {(3,3) \ar @{-}(0,3)}, \end{xy}

角の2等分線

\begin{xy} (-30,0)*{}="A", (-20,0)*{\bullet}="A", (10,0)*{\bullet}="A", (0,30)*{\bullet}="A", {(-20,0) \ar @{-}(10,0)}, {(-20,0) \ar @{-}(0,30)}, (-20,0) *\cir<10mm>{}, (-14,8)*{\bullet}="A", (-10,0)*{\bullet}="A", (-16,13)*{A}="A", (-8,-3)*{B}="A", (-14,8) *\cir<15mm>{r_dl}, (-10,0) *\cir<15mm>{r_dl}, (1,10)*{\bullet}="A", {(-20,0) \ar @{-}(8,14)}, (-12,2) *\cir<1mm>{}, (-14,5) *\cir<1mm>{}, \end{xy}

垂線

\begin{xy} {(-15,0) \ar @{-}(15,0)}, (0,0)*{\bullet}="A", (-6,-4)*{P}="A", (0,0) *\cir<12mm>{}, (12,0)*{\bullet}="A", (-12,0)*{\bullet}="A", (-15,-5)*{A}="A", (14,-5)*{B}="A", (-12,0) *\cir<15mm>{r_l}, (12,0) *\cir<15mm>{l_r}, {(0,-20) \ar @{-}(0,20)}, \end{xy} \begin{xy} {(-15,0) \ar @{-}(15,0)}, (-3,4)*{P}="A", (0,6)*{\bullet}="A", (0,6) *\cir<10mm>{}, (8,0)*{\bullet}="A", (-8,0)*{\bullet}="A", (-10,-5)*{A}="A", (10,-5)*{B}="A", (-8,0) *\cir<14mm>{ur_d}, (8,0) *\cir<14mm>{u_dr}, {(0,25) \ar @{-}(0,-15)}, \end{xy}
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