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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 14, page id 898203430:0042
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=42
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.88
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

VIVCENTH VIVTAML PROLOCI
237. CerE
Conic.
P R OPOSITIO A
N Oirculo. Ouadrata ramorum a quouns termine asis
trianeut ccumscripti tanquam ab orieine ductorum.
sunt inter se ot axis, seu diametri sermenta inter ordinatim
ductas in C irculo ex ramorum terminis, (5 punctum
quodipsum trianculi axem bisariam fecat.
Sto Circulo AB C D, cuiuS CeNruM F, circum scriprum GuOACHIC, CC
L criansulum AFC, cuius basIS AC, _ axis FC atque ex alteroterini
norum iptius FC, veluri ab exteriori F, ducantur quorcunque rami ad Cir-
culiperipheriam, HOC estFAMIIS F BD PeF CeNtrUIM, PTFL eXITA CenEru,
_ F A Contingens, dec. aut si ex termino interiori C iplirami ducti sinE, vi
delicet C7D peF CeMTrM, _ C+ A iDsi BD perpendicularis, aliique C FI
CrL, CB _c. ex iplorum aurem omnium cerminis ordinentur ad LV rccix
DDHIL, AC,TK, BB ac. 8 2Xis FC bilecetur in M. Dicocam quadra-
ta ramorum omnium ab externa Origine FD, FII, F A, F I, FB, RC. quam
quadrara omnium ab interHa C D, C+FI, G A, (5I, GB _cC. Cse inter (CVE
Tunc diametri seGMeNEA MD, ML, MC, MI, M B dec, quae incer praedi-
ctas ordinatas, ee punctum bisectionis M interiiciuntur. Ec primo id olten
dutur deramis ex orisine externa F prodeuntibus.
ABatUT CX M baSI A C parallela M O, que
I Nbitariam secabit in O.
Tam, quadratum FD ad quadratum tangentis
F A, vel ad rectangulum sibi aequale D F B eAtve
linea DF priina proporrionalium ad certiam FB
PostduaS DF, F A, Sed DF SCCTA CKEa in Ci, B in
ratione harmonica, _ media HARONICA F C, Bi.
fariam in MI, quare linea DF, ad FB, CuC qua
B 10. huius dratum FD, ad quadratum F A, est ve b linca.
MD ad MC.
Trem, quadratum rangentis FA, vel ad sibi x
quale rectaneulum FITI est velinca HIF, harmon
c37. cerrii nice sectac in N, I, ad FI, vel vi dIIO ad ON
COnIC.
a 10. huius (cium media F N sit bifariam secta in O) vel ve
L. M, ad MC.
Praeterca, quadratum rangentis F A, Tuic rectangulum Sibi aequale HIFI
c37. cerrii ad quadratum rami F I esve linca HIF, harmonice quoque lecta e in N, 1, 2d
Conic.
E 20. huIus
FP, vel vEF NO ad OI (cum media N F. Sic bitariam secta in O,) vel ve
GM, ad MK.
37. cerrii MulDet. Guaca CatZCS FH, HC LCclatS HOL quaC DLB
COnic.
ad quadratum rami F B est ve linca D F harmonice Bfccca in C, B, 2d FB,
B r0. huius velveh GM, ad MB, (cum sic media (, F bitariam secca in M) Ouadraca
igicui