Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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cularem AE, vt in H, patet iunctam HA, cum recta BAI inæquales angu-
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los efficere, ac ideò peripheriam circuli ad partem acuti anguli cadere extra
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datum angulum, & </
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<
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ſecare. </
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<
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xml:space
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">Quapropter circulus ACD erit _MAXIMVS_ inſcriptus ad datum
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punctum A. </
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<
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<
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">Datæ Parabolæ, vel Hyperbolæ, ſiue Ellipſi circa maiorem
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axim, ad datum punctum in eius peripheria, præter axis verticem,
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MAXIMVM circulum inſcribere.</
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<
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">SIt ABC data Parabole, vel Hyperbole, in prima figura, vel Ellipſis circa
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maiorem axim BO, in ſecunda, quarum vertex ſit B, & </
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ſumptum præter B ſit E. </
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">Oportet ad punctum E _MAXIMVM_ datæ ſectioni
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circulum inſcribere.</
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</
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<
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">Ducatur ex E ſectionem con-
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tingens EF, cui erigatur perpen-
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dicularis ED axi occurrens
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D. </
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">Dico ſi cum centro D, inter-
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uallo DE, circulus EGHI deſcri-
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batur ipſum eſſe quæſitum: </
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<
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eſſe inſcriptum patet ex prima
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parte 92. </
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<
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">huius; </
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_MAXIMVS_ conſtabit ſic: </
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<
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cata enim ELH, & </
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">producta EF
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axi occurrens in F, iunctaque
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FH, hæc pariter ſectionem
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tinget, & </
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quilibet alius circulus, vel cadet intra AGHI, vel ſecabit latera anguli EFH,
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vt in præcedenti oſtenſum fuit, ac ideò ſecabit priùs ſectionem. </
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<
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xml:space
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">Quare cir-
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culus EGHI erit _MAXIMVS_ ſectioni inſcriptus ad punctum AE. </
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faciendum.</
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<
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<
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">Datæ Ellipſi circa minorem axim, ad datum punctum in
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eius peripheria, præter axis verticem, MINIMVM circulum
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circumſcribere.</
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</
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<
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xml:space
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">SIt data Ellipſis ABC, circa minorem axim BO, cuius vertex B, & </
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">in pe-
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pheria datum punctum, præter B, ſit E, per quod oporteat _MINIMVM_
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circulum circumſcribere.</
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