Full text: Angeli, Stefano: Miscellaneum Hyperbolicum et Parabolicum

diolanenſis eruditiſſimus geometra in ſua geometria
applicationum, ampliauit ad altiores poteſtates, o-
ſtendendo applicationem aliarum poteſtatum ſerua-
re ſimilem ordinem partium ad quas fit applicatio; adeo vt magnitudo ad quam fieri debet applicatio
ſit ſecanda in tot partes quota eſt magnitudo, quæ
debet applicari, in ordine graduum; & applicatio
ſit facienda ad illarum vnicam. V. g. ſi ad partem
datæ A B, ſit applicandum parallelogrammum di-
ficiens, & c. hoc eſt
ſi A B, ſit ſic ſe-
canda in C, vtre-
ctangulum A C B,
ſit omnium maxi-
mum illorum, quæ
poſſunt fieri ex
partibus A B; pun-
ctum C, ſit illud
quod biſſecat A C. Si veto ſit applicandum parallelepipedum, hoc eſt ſi
A B, taliter ſit ſecanda in C, vt ſolidum factum ſub
A C, in quadratum C B, ſit omnium maximum; A C, debet eſſe tertia pars A B. Si vero ſit appli-
candum planoplanum, adeo vt factum ſub A C, in
cubum C B, ſit omnium maximum. A C; debet
eſſe quarta pars A B. Et ſic in infinitum in altiori-
bus poteſtatibus. Hæc ergo doctrina nobis eſt ne-
ceſſaria pro impoſterum dicendis. Quam etiam le-

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