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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 128, page id 898203430:0156
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VINCEHTM VIVIAMI DE LOCIS SOLIDIS
19. lib. 1.
poctra Din
X28
minac. in ob id huic chcumseripea.
B IT. 12. 13
regulatrices vero in O.
mucando HIB ad H C, ve BN al BL, led incecedences HB, HC sunt
consequens BN consequenti OL aequalis erir; quadratum igitur BN equa-
cur rectangulo luD BN, OL Lea etiam quadratum Cemiordinatae AN in Se
primi Co. ctione data L aequar M bfectanslito sub B H in NO, ergo quadratum
iica
deol.
reculatrix descripia scclons cac cona caa e esaracte cala,  ab
ea lemper magis recedie, etse sec  a enca Caca AC,
Sic mode ex verrice B in data Sectiene Melus uue Caus .
e per A Cic ordinata axem secans in N, descriptam Sectionem in M.
lam, quum (c HI B ad BN ve HIF ad FL, vel MHC ad OL, erit per.
aequales, ob angulos lemirectos ad B, G, in triangulo BHC, crgo, de
ibidem:
nata NM in ipla MBC eidem rectangulo BNL. aequale eAtc ergo quadra-
cum B A quadrato NM, hoc eA ramuS B A ad datam ABC aequatur le
miordinaiae NM in deleripta MBO: de sic de singulis ramis de semiordinatis.
In secunda demum, ee certia applicetur D P in delcripta Sectione
14. huius. MB2. Tam quadratum rami BA ad quadratum rami BD, ve d est rectaneu
21. primi lum FNNIB ad HID B, vel rec quadracum semiordinatae NM ad quadratum
Temiordinatae DB, Ced permutando quadratum BA aequatur quadrato WM,
ereo quadratum BD quadrato DP sive ramus BD ramo DP aequalis erito
ee sic de lingulis eec. Duare concauum delcriptae Sectionis MB) eA Limes
propolitus. Ouod pro singulis Coni- sectionibus demonstrandum erar.
Nocandum eric in sequenti Coroll. id, quod pro sola Hyperbola collin
situr, colligi quoque, ex superius octensis, pro reliquis etiam Coni-lectio
nibus, adeo re loco. yperbolx-legendum sic ibi. Coni- sectionis.
Sed reliquum huius Prop. in Hyperbola quareae fisurae ostendiur sic.
Tandem
Conic.
BN cum quadrato NA, vel vnicum BA aequatur rectangulo sub BN in
OT. vna cum rectangulo sub BN in NO, vel rnico sub BN in NL vique
ad regulatricem descripta Sectionis MB, Led etiam quadratum semiordi