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# Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmark Leibn. Marg. 103)
# Folio 98, page id 85138403X:0114
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.87
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Curvarum FutoroiS,
hoc est, Cumpris cc intinire eriguits, curvae parsiculis quarum vel
Tubcenlae vel cangences angulos Faciune sisdem m H L vel n R L
aequales. Si tacisicur NIEL criangulum rectangulum, Cimile criap
gulO FO D (f19. 26.) quod semiparabolae circumscribitur: Frieut
Oirnes Rim, ad omnes Lm; lic omnes 00 srbrensae, hoc est AO
curva, ad ornmes os vel d d difterentias, Boc elt e D diamebruIm.
HiOc ect, (Tumpris parallelis i a = M HE, e M A = M L,) UE
Omnes ma Chypeibola IEK, CjLSqUE COnIUGaEO axC L. BI INFEFCCPEX)
conplences LRKX quadrilineum, :d omnes m L. complences LpN
criangulum; sive, uc quadcilineum illuo, ad hoc criangulum; sC
expolicae parabola curra A O, ad A D diamerrum. EF consequen
cer, Dara pacabolicae linex lonzicudine, dubieur quadracura hyper-
Bolx; e vice versa. Quod e cu aliunde obtervaiti.
Vel Sceciam, (uc uno schemire tocum complectar,) (i FBE UE
FD, ad D O, _ OF; sIC 1O vel Y A, 2d A R; eC I ~ = R Y.
e delcribAEUT R n hyberbola, verticem habens R, CenErUIM A:
_, CuPEA TA = P A, HaE A Y a criangUIUI: PFIE, UE A T X
criangulum, ad A T X R quadrilineum; SIC axis AD, ad AO
curram parabola Addo, Le parces parcibus respectire sumpes
proporrionales esse: uc ex demonstratis patet. (Habec aurem h2ec
Hyperbola lacus rectum laceri eronverto aequale, d ucremvis
lateri recto Parabola requale, duplum aurem rectae AK: EAtque
A, hyperbola cenEruM; IE, VeTTEK; A. T, AXIS CONIUGATUS; A X,
ACHMEOEAS R S, axiS INTOTCEPEUS; SC SNL AT ordinacim axpli-
Caca ba(IS.) AEque Bactenus de Parabola curva.
Sed ex eadem opera, de conoidis Parabolici suxerficie judican-
dum erit. Cum enim singulae rectarum co difterentiae, ad respe-
etiras currae parriculas, sinEve Ex ad Ex, lincque in iisdem ab axc
distancis: Frir uc solidum ex convertione A Ya crianguli, ad 50
lidum ex convertione A TK K quadrilinei, cIrCA AR rectaM; HIC
superticies ex omnium currarum co difterentiis lic conversis, ad
conoidis superficiem ex convertis currae parriculis. DuX aurem ex
differentiarum illarum, arichmerice proporcionalium, in distanciis
item arictrnerice proxorcionalibus, convertione describitur; ad su-
perticien cacundé arichmerice proporcionalium, in distantia ma-
rima convertione descripram, (series Secundanoru ad seriem Pri-
ManOTUI;) hoc etE, ad curram Cylindri circumscripei; eAt, ut 2
ad 3. Erso, uc solidum ex A Ta crianguli conversione, ad solidum
Cd
F18, 28.
Conoidis
Pardooct
spet saeso