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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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Cap. XV.
Lpilocus, ex Miscellaneis.
Etis ita Calculo praestructis; Alticudinem Primam
HP, hoc cltN M-F M P u guoliber Rhombo, vona-
mus =n; adeoque NYM = =n. Item N P pro parti
culari aliquo Rhombo, =a; adeoque NN = = a
LtI scagu sI AOHDO IIIO MR ==V: NM9
Adco.
NRG: =
que MO =V: n - a 2: Cujus quadratum NO q = n =
=a 2 in NR = Zalductum, exMbet n’a - =a xequale
que duplum n= a - a3 aequale Parallelepipedo
 aesutalem Parallelepipedo circumseripio Cylin-
dum, lic inseripeus Cylindels da inleriptum Cylin-
nales:) EAque (per prius polita) Cylindrus V aequalis Solido Rhombo qui tit de-
scentu ponderiss ver spalium V; hoc elt, aequalis crienei Cylindri huic Rhom
b0 circumseripis. e  Lalaseepcu enemepum Cyindro illi, X
Parallelepipedum circumICp CStHOO CN C W; e Parallelexipedum cir-
cumscriptum respectiro Rhombo oaOMNOL, n’a - a; cum itaque illud lIE
hujus trienti aequale, erit W = = n a - = a decogue 3 = n d- a. Quae qui-
dem A. quatio respondet. Solido Rhombo facto ex descensu ponderis S per primum
Spatiorum X, 2, 3, ecc.
borum Colidorum respectira incrementa,) 6V == n a - a respondebit descentii
per spacia duo; 9u =n a - a descentui per cria; et sic de careris. Hoc ett,
Polito n = 100 et n = F
Paralle lepipedo circum seripto Cono NT MO; hujus
quod rori Colido Rhombo MINO P circumeriba-
cur; Cui paralle lepipedo si incelligatur Cylindrus in.
seribi, eric hic Priplus Pehombi lolidi.
Incelligantur porro, Cylinari ON Spatia L, 2,
3, 4, erc. cotidem esse Cylindros aque altos et (u-
per xequales bales: Et Bonamus Balis diametrum
n = 2 n; acque alcicudinem item TV ==u
qux in diametri basis quadratum ducta, exhribet
Fst aurem, ut Darallelexipedum ad Parallelepipe.
elie
drum (propter aequales alcicudines et bales proxorrio-
quale crienti Parallelepipedi Cylindro huic circumseripti. Sed, per modo ostensa,
E conlequenter; (cum, propter illa spatia aegualta, aguasa eltam line Khom-
Dum Sde
scendie
Spatia.
5
4 (A quarioneS re
spectirae erun
n a.
et
T2W
18V
10000
L. G. 2t
.
Ouibus aequationibus retoluris; proxter cognitas quantitates n, un reverietur quan.
titas a; hoc elt respectira altitudo NP pro quolibet Phombo: Lit consequen-
cer, quantum ea defieit ab alticudine prima; hoc est, quancum alcenderie interea
Dondus P Tupra primam ejus policionem.
Aquaciones illa sic resolurae exhibebunt nobis subjectam Fabellam. In qua
Columna S numerat spatia per qua descendisse supponitur ris seu pondus S.
A. extibet respectiras aequationes his spaciis respondentes. A, respectiras alci-
cudines NP pro illis descensibus. P, harum complementa ad alricudinem primam
200; hoc eltu menturam alcentuum ponderis P, descentibus illis respondentium.
D, disterentias complementorum continue consequentium; hoc est, quantum a(.
cendexic P propter descentum S per livguls spatia F, 2, 3, ec. respectira. Nempe,
Dum
aC.
C.