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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 66, page id 898203430:0258
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=258
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# Lines: 41 recognised, mean confidence 0.91
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66
VINCENTI VIVTANI DL. LOCIS SOLIVIS
ve supra ostensum fuie, ergo reliqua simul quadrsta AB, DB MInOTA LUNI
reliquis A F, F B, de hoc semper: ergO quadratOrUM PAT AD, DB
minus est pari quadratorum AE, IB, led haec AF, LB Simul, mino.
ra lune quadraris funul AF, F B, Siuc vnico AB, quum ab hoc def.
ciane per duplum rectansuli A F F, ergo d idem par quacratorum AD.
DB Co minuS est quadrATOrUM Pari A F, FB.
Si denigue punCtum P Fueric in producta AF extra Circulum. Tam cOn
Cat quadrata simUI AF, F B maiora esse quadratis SIUI AL, FB C quum
illa a maioribus latCTIbUS CONFINCANEUE) at haeC AF, P B MaiOTA SUIE duO-
buS AD, D B (VE nuper demonstrauiiuS) ergo quadrata AF, VB CXEr
Circulum A F B cerminancia,
ed maiora lune quadraris late-
rum AD, DB ad pecipheriam
interiorem cerminantium, de
hoc lemper, ideoque par qua
dratorum lacerum AD, DB
Cs minima quancicas quorum.
libet parium quadracorum la-
terum occurrentium ad ductam
rectam A D P. Idem pariter
demonstrabitur de quibulcun-
que aliis quadcatorum paribus laterum occurrentium ad quaitde aliai
reCtAI PEATer ADF. _C. ergo ad huius semicirculi, AD C periphieriam
conveniune simul paria linearum porencium ipsas minimas quaricie
res, adeoque peripheria AD C el Locus prOpOliuS. Quod erat ec.
Facile hinc soluitur sequens.
PROBL. L. L LC+.
c
B extremitate datae lineae terminatae ad rectam ex al
tero termino acutum anculum cum data constituen-
tem, aliam ducere, cuius quadratum, simul cum qua-
drato partis abseissae ex reliqua sit minima quantitas.
N Superiori Agura (i fuerit data recta A B, de datus acurus angulus
BAF, OpOrteatque ex B ad AF. ducere quandam BD, cuius quadra-
cum cum quadrato abscissae DA sic minimum quadratorum par; (ufticiet ex
B Cuper AF. perpendicularem demittere BF, abscistamque AF bitariam le.
care in D, nam punctum hoc quaesitum soluer: hoc est iuncta DB, quadrata
timul AD, DB minimum quanticatem efficient, prour ex ostensis apparet.
PRO.