# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/898203430:0266
# Permalink to this reading: https://leibnizlegible.com/page/898203430:0266?run=74
# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 74, page id 898203430:0266
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=266
# Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000266.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 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.
# 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.

INCENTHI VIVTAMI DE LOCIS SOLIDIS
diameter FB, qua produera normali PP Occurrat in P, quod in terria.
Figura penatur, vel cadese CAa CIrCulum, vel inEra; acque ex F, ad
veranque Parrem eais, Oinetur secta INF Sectiones oppolitas se.
cans in L, N. DIOCLMI L.L Requalem esse legmento diametri FB,
E ordinatI PIN, LCMHCHCO FHI aequalem esse.
21. Primi rectangulum A agua Guctito BI, ob Ayperbolam a aquilaterann
vel quadrato sibi oppolitx C F in parallelogrammo D F, vel rectanculo
YIFB, Ob sCCanteM FHI, _ tansentem F F, sed diserencixe laterUM AD,
DC, _ HF, FB, nempe AC, HLB sunc aequales C nam sune ciuldem
Metro ab A verSUS CeNErUM C reCta AL dupla, quae biseCCtIE In MI, ita
ve veraque iplarum MIL., M A ipsi perpendiculari C F aequalis SIC; de Cen
tro MI, LemiaxibuS verO ML, M A, Hant per vertices L, A. Sectiones op.
Dositx aequilatera L. I, A N, _ per cenrum C ducta sic quaelibet
Pet L. N ordinentur ad Sectionum axC S L. seCL L . qua s
E F aequidistabune, abrendeneque ex axibus aequalia sesmenta L D, AO.
Jam, in prima Reura,  Qua puncta C, L, L in VnUIM COCHHE, est
Circum diametri) erso de latus C. D, lue sibi oppositum F P, laceri FB
vel OCD. sine rectangulo NII e las ll egue CHt laceri LB, ve nu
per octendimus, et80 de lalus LI lateri LiH aequale eric.
In reneus rero treuris. quum sic ML aequalis ipiCt, ex construction
ne, dempea communi M F in secunda; de in cerria Roura addita, vel
dempta communi CL, remanet in veraque F. L. aequalis GM, Sed in se-
Cunda L. MI aQUatuE M A. ex constructione, _ F L RGUATIE CAMI, ex HU
per octensis, ergo reliqua FM, reliquae C A, seu O C aequalis erit, e
deIPEA COIMUNI MIC, FCIAneE F C aequalis MC, sive aegualis FL. In
certia vero Roura est AM aequalis CF ex constructione, de addita commu-
ni GM, erit radius C A, Sue radius G C aequalis ipAI MIE, de dempta
communi CF remanet F C aequalis MC, siuc aequalis l. P.
Praeterca, in secunda, d terria fioura est quadratum CF aequale quadra
eis simul CB, F F, vel Chis cum aequalibus permutatis) quadratis simul
M L, D I, vel quadrato MI T. cum rectangulo AD L ipsi quadrato DL
aequate, ob Hyperbolam xquilateram, sed quadratum M L. cum rectan
sulo
aequale est: sed rectangulum FL D ae OHCHum esE reCtanouto ADC,
On1bo