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。
\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}
\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}
\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}
\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}
\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}
\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}
\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}
\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}
\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}
\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}
\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}
\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}
\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}
\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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