Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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<
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">Quoniam ducta AQN parallela ad GF,
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0164-01
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/QN4GHYBF/figures/0164-01
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& </
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<
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">cum ſit RD minor MG, & </
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DQ æqualis GN, erit rectangulum RDQ,
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ſiue quadratum DA, (in triangulo rectan-
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gulo RAD) minus rectangulo MGN
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mi conic.</
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quadrato GI; </
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<
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">hoc eſt intercepta linea D A
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minor ſemi-axe minori GI. </
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<
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tiò, &</
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<
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<
s
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">Tandem, dico interceptam perpendi-
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cularem AH minorẽ eſſe quàm dimidium
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recti lateris minoris axis.</
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<
s
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xml:space
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">Etenim cum ſit IG maior AD, vt ſupra
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oſtendimus; </
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<
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xml:space
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">habebit IG ad AH maiorem
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rationem quàm AD ad AH, vel quàm NG
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ad NH, vel quàm eadem I G ſemi-
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roli. 90. h.</
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uerſum ad ſemi- rectum; </
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<
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">quare intercepta
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AH erit minor ſemi-recto minoris axis IL.
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</
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<
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<
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">COROLL. I.</
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tingenti perpendicularem, & </
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<
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ris maioris axis. </
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">Nam in figura huius, oſtenſa eſt AD ad numerum 2. </
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">88. h.</
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ſemi-recto maioris axis BC, ſed eſt DB maior DA, quare DB eò maior erit prædicto ſemi-recto.</
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<
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">PAtet etiam in Ellipſi, quod intercepta minoris axis portio inter contin-
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genti perpendicularem, & </
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<
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<
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">ibidem.</
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eiuſdem minoris axis. </
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<
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minorem eſſe ſemi-recto minoris axis IL, ſed eſt IH minor AH, quare IH eò minor erit prædicto ſemi-recto.</
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