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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)
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De Cravium Descensib
plano posica, eadem ab illo Ftorixontali plano longius distabunt, cruneque (HCIM-
dum perpendiculum) alriora. Octenso ixitur ur prius (ex I5 Elem 3.) d com-
muni lectione esph (quae ipla est Horicontalis recta;) oltendetur eriam, ab
ipso subjecto plano FTorizontalI e sBr0; punctum S, maxime; P, minime; C, (1
e IBH, aequalirer; _ G, magis quam E, dictare. Unde conltat provolitum.
SCF O L FV M.
Voniam (ne supra monicum elt alignories) consideratur Perrxe Centrumnune
quali intinire dstans, nunc aurem tanquam in distantia tinita; ad oque per-
Dendicula, nunc uc parallela, nunc uc in puncto concurrentia. Vilum clE propo.
litionem hanc secundum ucramque suppolitionem demonstrare.
Norandum incerim in propotirione diserre diei, In plano ad FTorizontem vel
Recto, vel utcunque Tnetinato: Duoniam in Hlorizontali plano, hoc cst, in plano
Eorizonci parallelo, nullum exit peripherix vel Alcius vel Fumilus punctum, sed
xque alca omnia.
P R O P. XXT.
Descendens Crare, eaeteris paribus, recta ad Forixontem Perpendica-
Pori Feretur: Ex obliguis vero, ea potius qua minus est obliqua.
Ascendens; Contra.
Ponderat aurem (pro raria Ascensuum Descentuumre obliquitate) in
ratione Rectorum Sinuum, Inclinacionis ad Horizoncem, lire Com-
plementi Obliquitatis.
Idemque aliis motibus accommodabitur.
iB. 42. ) Scendetur enim (ex praecedente) rectarum lonxicudine aequalium, perpen-
dicularem (ut F P) este omnium alciltimam; adeoque, es maxime declivem
(per r4hujus.) Hlacisitur; prae exteris teretur Delcendens grare; contra vero
Alcendens. per 17 hujus.
Ex obligniS verO, UEF O, F B; Similiter ostendetur (ex praeced.) illam quae
minus est obliqua, Puca FO, alriorem elle; adeoque (per i4 hujus) et masis
dectirem. Idcoque (per  hujus) per hanc porius lacumiri Deleendens CTaVS;
AScendenS, CONErA.
Virobique vero ponderat Grare (Descentum promovendo, adeoque Ascensum
impediendo) in ratione F P, F O, FR, alticudinum rectarum Lonricudine equa-
lium FP, FO, FB, (per F4 e X7 hujus:) HIoc cst (quod ex Frigonometricis
constat) in rarione Sinuum rectorum, angulorum Inclinationis F PS, FOO, FBR;
qui sunc angulorum Obliquicaris P FP, P F O, P F B, complementa. Quod etat
propolicum.
P ROP. XXII.
Crare, qualetus non impeditur; per rectam ITorizonci perpendicu-
larem descendet.
Idem incellise, mutatis mutandis, in aliis moribus.
Escendet enim, quacenus non impeditur; Der 2 hujus. F C, hac prX exteris;
Cap. II.
per pracedencem.
LAO P. XXTII.
Supex impenetrabili Plano FTorizontali constitutum Crave, vel super-
ficie Sphariea, Perrx concentrica: Craritate lua non morebitur.
ldcmince mllatis mutancis, qua cuue i ViS MIOCII. Lep
quum planum eA Directioni virium ad ansulos rectos.
ote