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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 156, page id 898203430:0184
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=184
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5
VNNCENTII VIVTAMI DE LOCIS SOLIDIS
outis DEB, DFB, ab axc BD constitui, sine aequales, e una cum reliols
ad D reCIUM CompIEANE) quos circum d laCra Sunc aequalia, ergo d re
liqui anguli ad O, in quo F F axem secat, incer se aequales CrunE, nem
De recti; ec idcirco, quum veraque iptarum F. F, AC (I. ad aXem BI Per.
Pendicularis, hae incer le aequidictabunE. PrOdUCANTUI PFXetCFCA OF, OF, C
quibus sumantur O C7, O H iplis ramis minim:s D F, DF aequales, de
Cum cenrO O (cuod diltat ab origine D per DO alcicudinem minimi ra.
mi D F) per verrices C, HI, circa axem L. M delcripiae sine Sectiones
OpPOlUX ZC T, YHS, quarum axis cransuersus C H ad suum rectum
latus sic ve D A Semiordinata ex origine ad. O F amplicudinem minimi
rami D E. Dico has necessario trantie per puncta A, C, acque in his
cancum dati anguli latera contingere, iplarumque convexa esse Limites
ramorum, non tantum ad latera B A, B C ex data origine D ducibilium,
quam ad eadem vra B producta angulum HB X ad verricem dato con.
stivencia.
Ex A, C, demittantur super P. M perpendiculares AL. CM, quibus
ac propterea e axi BD aequidistet F P.
Fc quoniam semiordinatae DA, DC sunc xquales, etiam OL, OM
aequales CruNE, SunEque, _ OG, OFI aquales, ex constructione, atque
Item OE, OF, ergO, _ LG, TIM, EE GF, FFT inter se aequaleS CTUnE.
Sed in triansulo rectangulo AF. D est rectangulum ADP aequale qua-
drato DE, ergo _ L. O F aequale eric quadrao rectae OG, ipsI DF
aequalis: CA aurem OHI aequalis medix proportionali OG, ergo rectan-
57. huius. Sulum HIL. O aquatuE 2 rectangulo OL F, Sive rectangulo D A P, sed
62I. prim. FTL C ad quadratum semiordinata ex L in FIpperbola ZC, T es VE B EraN.
suertum ad rectum, vel ex FIyporheti, ve D A ad OF, vel ad D P, hoc est
sumpta communi alticudine A P) ve idem rectangutum D AP, ad DPA,
sive ad quacratum PF. mediae proportionalis, inter DP, PA, e1GO qua-
dratum sem: ordinatxe ex L. in FIyperbola aequatur quadrato PF, sive qu a
drato A L, ideoque semiordinata ex L. eadem eA ac ip(a A L: quare
Hyperbola ZC. Y iransic ommino per A. Cuniliterque Sectio ei oppolisa
SHI
COn1C.