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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 71, page id 898203430:0099
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine
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ORDINATIOAYM COMIC. LIMITIBVSLLB. L.
eADEOSITIO XXXXI
N Fillipsi prolata. Linices rainationum normalium
super Sectionem ductarum sunt ad LOcOSconvexOS op.
positarum Sectionum sibi concentricarum, ac simul ad.
scriptarum, quarum axis transuer sus idem est ac maior
axis Aillipsis datae, quique ad rectum latus oppositarum
est et differentia inter quadratum recti lateris minoris
avis, (9 quadratum maioris, ad quadratum axis mi-
noris.
SO EIlipsis PrOLata ABC, CUIUS CeNErUM L, axis maior A C, i
nOr BD, ee huius lemirectum latus B Li contingenter polium ad B,
cur aequalis sic produeta in directum BC, e ve ditterentia inter quadra
cum semirecti Bfi, ae quadratun semiaxis maioris L A ad quadratum.
lemiaxis minoris LB, ita sic lemiaxis maior L.A ad aliam AIE, d cen-
iro L. cum semiaxe tranluerso F A, _ lemirecto AK per verticeS A, C
delcripeae sine oppoluiae Sectiones AO, C P. Dico harum conuexa esse
Limites OrdinatIOnIS propOlIIa,
DUCANtUE C_ A, C, _ ex C, F rectae AH, CS, _ C+ L, F R ipA
BE parallelae, e sic quaelibet normalis M N ad Fllipsis peripheriam AB,
alque ex occursu M ordinerr OMP, quae secet adem in Q. Sectiones
reco in O, P, de iunctam F F in T.
Tam, quum BC, BF sint aequales, ex constructione, de BTI, BS (X
qualibus L. A, F C oppoluxe) itidem xequales, erune reliquae AC, 3L,
vel AL, CR incer se aequales.
Ec quoniam quadratum C. B Cuperat quadratum BFI rectangulo C HF,
erit id ditterentia inter quadrarum lemirecti E B minoris axis B D datae
Ellipsis, de quadratum BII, SuC P A lemiaxis maioris, led ve ipla dif-
terencia C H F ad quadruum F. B, ica Tactum suic lemiranluertum L. A