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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 634, page id 851387705:0654
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PROP. XYIII.
Centrum, aut AZCM.
punctis; velhorum ab illo Cemto (ant perpendiculo, perpendicu-
live succedanco, aut Plano) de datas partes Dictantiis: Inreltisare:
Ouanca sic cum linculorum, cun simul omnium ponderatio; et, 2d
quas partes; Tum denique quancum grarant iplum quo sustinentur
F0D.
2D.
+DP. +6: f I5DP. + 250.. LL. YL. 6DP. 106: -6DP. - 6C: - 12DP. - +26.
NV Distanciis: verbi pratia, ad Ceneri (Perpendiculi
a hujusre succedanei, Planire) Dexiram (quas ligno 1
inlignimus) D, 3D, 4D; dependeant Pondera, P, SP, 3P
quxe (polito P in Diltancia D ponderare uc Cr) pondera-
bunc ite 2) , T2G; per T2 _ r3 hujus: Adeoque B.
 Saran Brachium Dexerum, ut 28CF; per B C ap. F
In Oiltanciis ad linistram (quas concrario sixno-infis.
nmuS) 2 D, 3D; devendeant Pondera 3P, 4 P: Oux
itaque contraponderabune, ut -6
I2CF; per 12 e 13hujus: Adeoque
Cimul srarane linistrum brachium ut TSCT;
Per 8 C ap. Y
Acque ex ipto Centro, quod itaque
neutrum grarat Brachium, Pondus q. P:
Cujus Ponderatio eAt, ut FOG. per 12
et T3 hujus.
Duae simul omnia vateu, at 4 286 = 18C +06 = F TOG; per 8 Cap. F
AdCOGUE DTRSTAVANE BTACMU DENEruM, UE XOC. HlOC est (proxter politum
DP = G) quantum Oecuplum Ponderis P in diltantia D, dexirortum, apvenli.
Et similiter Paciendum eric, quotcunque e quantacunque in quibuscunque di
ltanciis, ad urramris partem appendantur Pondera: (habencur enim vel ex 12 8
=3 hujus, vel ex rs hujus, Singulorum Ponderationes:) Idque, sive dentur ipix
Distantix; sive Cenerum (Perpendiculum, Perpendiculi Succedaneum, Planum-
re) una cum appentionum Punctis; (nam, his datis, Distancix simul daneur:
nempe ductis ab appentionum Punctis, rel rectis ad Centrum illud, ret perpendi-
cularibus ad Perpendiculum, Perpendiculi Succedaneum, Planumve.) Inrenimus
ereo, cum singulorum, tum simul omnium, Ponderationem; e, ad quas partes.
Duod erat taciendum.
Ouod vero C communemotus de Librae Centrum spectac, vel siquod aliud est
motus Centrum, vel Axemeriam; quo sustinetur cum ponderibus Libra, ne tora
euac: tancundem ralene acque limul omnia pondera f P f 5P f 3P f 4 P f 3 P
F 4 P == 20P, ex contro equilibrii directe dependencia; (Faltem in ea decliritate
inde dependentia, qua cum Ponderibus Libra librari incelligitur: ) per 2 hujus ret
18 Cap. 2. Oipore quorum Descentis eo impedirur. Duod indem inveltieandum
erat.
SC HOL TV M.
det Brachii Libra (s siB DCrIICatL) CCa CCHITLII mOIS FOTaEuE.
Fatenus desceceto, Guatenus delcendir Cenerum Aequilibrii (per ohujus:) F ixum
illud Centrum OtuS (velmos AXis) non ulcerius impedic Descentum Librx,
quam, quatenus Descentus ille ex Roratione proreniens, minus valet, quam di-
rectus
Datis Ponderibus quortibet: Darisque, rel communi morus et Libra
il Centro (dut verpendiculo per centrum motus ejulre succedanco,
aut perpendiculati elano per motus axem,) acque Applicationum
-
Teoaurem, Fx cemro aequilibru. Mottatum eum Dpet aOddetaniam