Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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THEOR. DE QUADRAT.
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minor erit dato ſpatio; </
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<
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">ſit ea parallelogrammum B F, & </
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vidatur baſis A C in partes æquales ipſi D F, punctis
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G, H, K &</
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<
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G L, H M, K N &</
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<
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ciantur parallelogramma D O, G P, H Q, K R &</
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<
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co figuram ex omnibus iſtis parallelogrammis compoſitam
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(quæ impoſterum ordinatè circumſcripta vocabitur) ſupera-
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re portionem A B C minori quàm datum ſit ſpatio.</
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</
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<
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">Jungantur enim A N, N M, M L, L B, B S, &</
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</
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rectilinea; </
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ex parallelogrammis compoſita eſt, ſuper inſcriptam, quàm
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ſupra portionem A B C. </
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inſcriptam ex triangulis conſtat, quorum quæ ſunt ab una
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diametri parte, ut A R N, N Q M, M P L, L O B,
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æquantur dimidio parallelogrammi O D vel B F, quia ſin-
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gulorum baſes baſi D F æquales ſunt, & </
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titudo, parallelogrammi B F altitudini. </
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gula qu& </
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parallelogrammi B F: </
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ctus exceſſus æqualis eſt parallelogrammo B F, eóque mi-
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nor ſpatio dato. </
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ceſſus figuræ circumſcriptæ ſupra portionem A B C: </
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hic exceſſus dato ſpatio multo minor eſt. </
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poſſe quod proponebatur.</
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<
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II.</
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portione, dimidiâ ellipſi dimidiove circulo non
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majore, & </
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tionis æqualem; </
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parallelogrammis quorum ſit omnium eadem latitu-
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do, ita ut uterque ſimulexceſſus quo figuræ circum-
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ſcriptæ portionem & </
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ſpatio quovis dato.</
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