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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
# Folio 602, page id 851387705:0622
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les:) Delcentuuu Ascenluue Alricydines, aequales erunt. Quod erac ulcimo
probandum.
Idem rirtous as motricibus Faeile accommodabicur.
Cap. TI.
De Cravium Descensib
PL O P.
2
Crarium,  Rectac  sue ad Horirontem inclinatas, Descensus, in
Ca FatBBC Dollent, quae Componitur ex rationibus et ponderum, et
Longicudinam ementalum, et. Reciproca Consitudinum aeque. al
Idemquemoris ab allà Vi morrice Faeile accommoctabitur.
7 AlenE enim (per 5 hujus) in ratione ex Ponderum ee Altiruidinum rationi.
e
bus compotira: Hloc elt, (per praecedentem,) ex rationibus Ponderum, e
Congicudinum, ementarum, et Rectprioca Lonxicudinum aeque alcarum. Ouod
erat probandum.
e ROP. XIV.
Rectarum Decliritas Lonsicudine aequalium, est Alcicudinibus pronr
tionalis.
Rectarum Decliritas AEque altarum s CR Fonsitudinibus Reciproce
proportionalis.
Adeoque; Rectarum quarumvis Déctiricas, et in earaciorie, quae ex ra
tione Alcitudinum et Reciproea Lonsitudinum componitur.
Acque; Si Rectarum Longicudines sint Acitudinibus proporciohales:
carum Decliritas aequalis eAt.
1i e
Duod et aliis perinde ac prarium im oribus a ccomolabitus.lt
encx
 4 1I_ X R 3111 Sip s. e 121. mscritori
F. 37D  D. p
ciuitie  it rilut u . l Alastiro Te: Supussis
nt
mb.. 1-. Zp. MA, m F ma m B = 1. Si ir CcjeICI
imin sininiimm L. SIsesit
A Puncto F, dueantur aequales rectae, quoctibet F P, H O, F B,, quae continvatae
occurranc Horizontali Recta (vel Plano Calrem) in punctis P, S, T.
Rectarum P P, FO, F B, longicudine aequalium, Decli-
ricaces, Tunc earum AIcicudinibus, puta, F P, FG, FR, pro-
Portionales. per Det. 17, +8. Cap. F.
Rectarum F P, FOS, FBV F, aeque alrarum Declivita.
tes, Tunc carum Longicudinibus, hoc cAt, ip(IS F P, FS, F Y
Reciproce proporrionales. per caldem Del. 17, 16, Cap. F.
Ouxe erant demonstranda.
Ouas quidem rationes eatdent etté; adeoque seminam
quae hrabetur DeF. 18. Cap. T. Majoris Dectivitatis detini-
tionem tantundem valere, (et Minoris similiter;) hine
constat: Duoniam, Siretumantur rectarum F P, F. OS, porriones longicudine -
quales P P LO, quarum Alicudines (INC F P, FQ; Sive portiones aeque altX F P
FS, quarum lonsitudines reciproCR, TUnE FS, F P, hoc est FS, PO; Ladem vErO.
bique prorenic Declivitacum ratio. Nam, ut FP, ad F.: Sic elt FSad FO:
per 2 Elem. 6. Similiter, in rectis FP, FBT; porcionum aequalium FP, FB
alricudines FP, PR; et porcionum aequealcarum F P, F T, lonsimdines RCCIprOCX
FT, FP, hOC CAF T, FB; proportionales sune: per 2 Flem. 6. Trem; rectarum
FO, FBV, porcionum aequalium FO, F B, alcicudines FO, P R; _ porrionum
aeque altarum PO, PV, longicudines FeCIPTOCK FV, FO, hocCAFV, FB; pro-
portionales sunc: per Z F. temr. 6.)
Ideoque;
tarum. Acque Ascensussimiliter.