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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 143, page id 898203430:0171
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=171
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
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DADINATIONVM COHO. LLTIBYSLIB. I.
Ducannm Cx C, IP, lacerales tangenteS C, R, HO. quarum viraque
in praedicta axxii. huius ostenlum fuie, ipsae que in CodeM aXis PUICIO 3. (.
crantibun.  praeterea vercle can celles de puceta l, B, quae latc- 6091c.
rales lecent il 13 L d in H.  Lmes Velo in. l, V, ee 1M R, L.
ad C l ecca , tel cucca a sV, AL ipsi G II taccus iungen-
ti requidiltances, quae Secciones, a contingences lecant, crit reccansu
lum TZV ad IE M L. ve B quadratum cansentis FI Z. ad quadracum taI- b ex 20, cet
eis Conic.
sentis H N, vel ve quadracum OI ad OB (ob parallelas OH, I2,
NB) vel ve quadracum L3 ad B3 (nam ob cangeniem AM, est OL ad
veranque se contingencium Sectionum in iplis punctis C H, coninget, ve
MUI COMHEHIEHE, Juxe vieriuS produccae cum nulia implius harUM qua
tuor oppolucarum concurrent a sed inter ealdem BC, VS, _ BA, TP 2 ex 220 Tec.
Ouoniam ixitur incer oppolitas Sectiones CK, HI L, quas coniigunE
OB ve c L3 ad 3B) vel de qua a LL ad BMI, vel ve quadratum
hoc est quadratum LV ad quadratuum B L. iplis compoticis aequalia, erie
ve quadratum OT ad OB, ed permutando quadratum OL aequale cAt
quacraco IV, quoniam ramus OL aequalis demonstratus fuic, in eadem
quadraselima secunda huius, lemiordinatae TV, ergo ee quadracum O B
quadrato BL., Ciue minimus ramus OB ad Hyperbolum datam ABC
aequalis semiordinatae BL. ad descriprum Limitem AVL.
Sit FaMLLM GaICIque aliUS FaIUS  C data A B C OCCUErenS in C.
_ huic OppOTIEX Sectioni C YFI in 5, _ Ordinatx SinE ad aXem OD
per C, 5, rectae guX Sectiones C=HE, HL, de tangentes secent C, 3,
H3, in punctis ve videre est in figura.
36. Prin
Con1b.
Fric ergo (per superius allacas rationes) rectangulum X 6 7 dd dek 2. l
AeS vc e quadraum H5 ad quadraum H 4 ( vel 0b pacallet as C. H, vi Conic.
TZ ad BM. Guase euo simul, nempe selcangulum FZ. V cum quadrato
IZ. ac duo Simul, nempe ad sCCTanSIU H M L., cum quadrato BM.