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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 73, page id 898203430:0101
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=101
# Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000101.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine
# Lines: 28 recognised, mean confidence 0.87
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line: the recognised lines in reading order, one per line.

Rm te.  Ld. 1.
ROPOSITIO ZXXLII
e Sectiomions opposos. Les Grainationis norma-
hum a oedamdas sao a bonoam abm aarc
rum, est ad LOCum convexum aliarum dectionum d
positarum concentrice, ( cum eodem axe transuerso
simul adscriprarum; (5 quarum rectum latus est ter-
ria proportionalium post summam laterum, es rectum
corundem.
Inc oppolitae Sectiones datae AB, CD, quarum cenrum L, verti-
D ces A, C, Semiaxes TranIUIEFHI F A, F.C, SCMIrCCEqUC LaFCTA A F,
ACi ad A concingenter applicata, d F.S, F. T, Lemiaxes prioribus coniu.
Sati: e hat ve summa semilaterum P A, AC ad semirectum AC, ita.
lemirectum idem A C, oppolitarum ad AI, e centro F. cum eodem le
mitrantuerso axe P A, Semirectoque AY descripex sine oppolitae Sectio.
de transierla diamerer eadem sc ac dacarum, rectum vero latus Sit i-
nS ex constructione) dico harum convexa esse Limites Ordinationis pro
POsII.
EI; iungacur (5B, PFI, quae vnam rectam consticuene: quoniam in triansu. i di 0
RE, de AE ipsI RH Similiter aequalis, QUAPFOPEeK anGUIUS AF. C se qua-
TE angUIO RHTE, de addico communi angulo TPF A Hiune duo simul an
Suli AE G, HFA, aequales duobus SimuI RHIF, HIF A, nempe aequa-
les duobus rectis, quum ipi sine parallelarum incerni. Sumatur insupe
AM
nes AK, CF (quae omnino intra datas cadene, cum iplarum centrum,
Ducatt ex P ips A C parallela F R Sectionibus OCCUEreNS in R, B,
D, L, axi coniusato in H, cui sE C II aequidistans, & lecans LL in
lis GAE, FRH, aniguli ad A, R, sune recti, _ latus AC laceri