Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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VERA CIRCULI
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<
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rectis B F, F P, occurrens in punctis D, L, ita ut com-
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pleatur polygonum A B D L P.</
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<
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plum trapezii A B I P, ſicut trapezium A B F P ad polygonum A B D L P.</
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Fig. 1. 2. 3.</
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ſegmento, ducitur etiam per concurſum duarum recta-
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rum F B, F P, rectam D L terminantium & </
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tum in duobus punctis tangentium; </
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">igitur recta D L bifa-
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riam ſecatur in puncto I; </
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xml:space
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xml:space
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quale eſt triangulo F I L, at triangulum A B F æquale eſt
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triangulo A P F; </
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xml:space
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">igitur trapezium A B D I æquale eſt
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trapezio A P L I; </
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polygoni A B D L P. </
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ex præcedentis demonſtratione triangulum A I L eſſe æqua-
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le triangulo A L P; </
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lum A L I ita F A ad A I, & </
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A B F P ad trapezium A B I P; </
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A B F P ad trapezium A B I P; </
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triangulum A L I; </
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A B I P ſimul, ad trapezium A B I P, ita triangulum A F L
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& </
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triangulum A I L: </
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zia A B F P, A B I P ſimul, ad duplum trapezii A B I P,
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ita triangulum A F P, ad trapezium A I L P: </
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lum A F P eſt dimidium trapezii A B F P, & </
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A I L P eſt dimidium polygoni A B D L P; </
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trapezia A B F P, A B I P ſimul, ad duplum trapezii
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A B I P, ita trapezium A B F P ad polygonum A B D L P,
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quod demonſtrare oportuit.</
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