# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/898203430:0102
# Permalink to this reading: https://leibnizlegible.com/page/898203430:0102?run=74
# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 74, page id 898203430:0102
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=102
# Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000102.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 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.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

VIAC LHSM VINLHII DE LOCIS SCLIOI
satur FM, acque ex l, B. D L da CL Pa L LC BL
DO, LO.
AF aequalis lemirecto Secciomis AB, ex constructiole, Cllal Lemiordina
ta PB in Sectione eidem lemirecto aequalis exic; guarC pUnCtUM P ipsIuS
datae FIyperbolie AB erit 2 FOcuS: id eoque distantia F P pocest B qua
suus. drata semiaxium COniuSatOrU E A, A M datarum Sectionum, ideoque,
dempro communi quadrato AP, remaner rectangulum P AO aquale qua-
Arato AM.
Intuper, cum siC P R axis contugvus tam oppositarum datarum A B.
a ex COn-
verL. PrIM
huras.
AM aequalis semiaxi coniugato F. P datarum Sectionum AB, CD, d iun-
Jam. Qua in parallelooramm eca LIL: L re desatessel f
CD, quam de(CTIpTaTI AR, CL, CTRINE RK, RL, _ ipAS OppOS.
ta F N, FO inter se requales, icemque RB, RL, & oppOlX L. P, L
aequales, sUNEquC RF, RH, _ F A, F C aequales, er80, de BR, DL,
de PN, OO aequaleS CTUHC, itemque FB, HD, _ AP, C aqualeo
erunr inter le.
Ec quoniam lemiaxis F A ad Semiconingatum L L, vel ad H M CHM
exprime C AM ad semirectum A C, exit quadratum F A ad quadFatUM AM, v
COnic.
linea E A ad AC, _ quadTATA F A, AM simul, Sive vnicum quadrarum
EM ad quadracum AM, ve linex F A, AC, Cunul aet lineam A C, vel
ex constructione, re linea CA ad AI, ee convertendo quadratum AM
ad ME, ve linca AI ad A C.
Prae erea rectangulum C P A ad quadratum P B (in Sectione AB) vel
ar. primi ad quadearum NR est vE d SeMItFAIISVeNSIM E A ad (eMIrCCtUM AC, 8
quadraum NK ad rectangulum CN A est ve e semirectum I A ad se
M. Mitran(versUM AF ( in Sectione AK) ergo ex aequali in FAIONC PerCUI
baca rectangulum C A P ad CN A, vel rectangulum P AO ad N AO
est ve semirectum I. A ad semirectum A C, vel ve quadratm A M dd
quadratum MF, Sed permucando rectarisulum P A Qaequale est quadrao
AM, ve superius octensum fuit, ergo ee rectangulum N A O quadeato
ME aeguade ett sine quadraO E. P. C virunque enim quadiatorum L. ist.
Conic.