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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 91, page id 898203430:0119
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=119
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.88
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ORDTNATIONVM COMTC. LIMITIOVS LIB. I.
aqualis RL, aeque C R aequalis R ML, erGO F G, ML lune aequales.
FE quum AD AE Peniordinata ex FOcO D, ac B F, K HI vercicalicer
Sectionem continsane ad extremitates anis BH, d PAN laceralirer, erie
ramus DB aequalis a semiverricali cangenti B F, d raMUS D K aequalis 2 22. huius.
lemiverricali KN.
Ouuinque AB, BF Sectionem contingane, alcerique ipsarum B F sit
Patallela FC M, erit quadratum BF ad F A vE B rectangulum M F. C7, CiUC b16. cerrii
LCF (nam FCY, ML sunc aequales) ad quadratum LA, _ PCFUTAN- CONIE.
do quadratum BF ad reccangulum L GF, vE quadratum F A ad A F.
vel ve quadracum BD ad DR, de icerum permutando quadratum BF. 2d
BD ve rectangulum L. C. F ad quadratum DR, led antecedentia quadia-
ea, B E, BD sunc aequalia ( quum sne c ab aequalibus) ergo _ FCCEAN C 12. huius.
Culum L. C F quadrato DR aequale eric; his isitur addito quadraro com-
ImuNi C:R, rectangulum L. G F cum quadratO CSR, Sive vnicum quadi2.
cum RF, duobus simul quadraris D R, R G, Sive vnico quadrato DC
aequale erit, ac ideo semiordinata R F ramO DG aequalis: Id (IC de (In-
sulis ramis, aliisque ad alceram parrem ductis, deque corum semiordi-
natIS.
In Circulo autem cuidentius, ac faciliiis idem apparet. Ouum enim
Circulus nil aliud sic quam Fllipsis prolatarum minima, e oblongarum
maxima circa cundem axem descriptarum, de quarum foci eo incer le
propiores hune, quo ampliores fuerine oblongae Flliples, de quo arctio.
res prolatae, manitectum est in hac fgurarum metamorphosi, FIipriexe,
nempe in Circularem, binos foeos in veum limul coire, hoc est in ipsum
Circuli centrum, quod sic ramorum origo; ica enim radii sunt ad instari
ramorum; vel normalium ad Circuli peripheriam, quae, si juxta definir
tionis lesem hinc inde ab axc, vel diameero ordinentur, pacee ipsorum d35. huive
Fimites esse d rectas contingenes Circulum a terminis ordinatae per cen
erum, atque inter le, de axi aequidistantes. Ordinatio igitur ramorum ab
Orisine ex foco D cuiulcunque Coni-sectionis, vel etiam OppolitX, au
Circuli habet Limires rectas contingentes F AF, FIOL. Ouod erat de-
monstrandum.
ad ramorum    ene et e; de sua feset
torum auto et do ea Laltut cecto, et velclem utatis cet
Sectioni circumleriper, cuus balis pet Loc aeac. al scuerata le
onttat ex hac euidenter in quacunque Coni-sectione.
eseus
miordinacarum R1, ll, DR, bL. cl. Ila Pll Lalicto A. DC
DA, DB sune xequales, sune inter se ve quadrata, IK, TR, ID, YB et c.
Ob aequlallames  B ECL3 B Lp _L t aC EC FI.