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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 632, page id 851387705:0652
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Tibr
verbi sracia, recta AB, punctum mecium C, incelligatur recta C. R ad Cencu
directe terri; adeoque eadem semper Decliritate, e eodem impetu: reliqua tamen
puncta, ut A, B, majorem concinuo Obliquitarem Cortientur prour Celubreld
tiune propiora. Nam, eadem manente AI B crianguli base AB, proul alistudo
CiK minuitur, obtusior tiet angulus AKB; adeoque reliqui R AC, RBC, mi
que in Tiru obliquo aB timiliter tere ostendetur.) Lt quanquam de rectxe litu
Perpendiculari ab, non Lae Cihsat (eo quod tora recta lir in perpendiculos
ramen de rectis extra hunc sicum, led ee de curris omnibus, omnibusque tun
superticiebus, cum Colidis (ut quae non posint tora in perpendiculi recta jacere)
idem ostenditur.
Verum ubi Centrum Ferrae considetatur tanquam in intinica diltantia; adeo-
que Perpendicula tanquam parallela; (quod in Staricis plerumque AC;) Hal 
nia locum non obrinent. Ouam quidem hypochesin (Post Archimedem, aliol.
que) nos eriam sequimur, nisi cum concrarium insinuatur: quod et aliquories
monuimus.
nores; et consequener, majores tient Obliquiratis ansuli R AY, RBF: (Idem.
e
2
Ex tribus his, Londere, Conclatiee, ee Diltantia puncti applicatio.
nis (Sires a communi Mocus et Librx Centro; nempe siguod sC;
sintque ad eandem per centrum motus rectam applicata pondera:
Sire, a Perpendiculo per Centrum motus; si in eodem recto ad FTO-
rizontem planorotentur: Sire, a perpendiculi Succedanco; (I Fal-
tem in eodem planorotentur: Sire denique à perpendiculari Plano
Deraxem motuS:) Datis duobus quibulris, dlaturtertium.
Nempe; Datis Pondere ex Distantia; datur Ponderatio: Datis Pon-
dere et momento seu Ponderatione; datur Distantia: Datis Pon-
deratione ex Dictantia; datur Pondus.
Excipe; Si (quod una cum ponderatione datur) Distantia vel poncus
nullum liL.
Incellisitur aurem Proposicio, prxsertim de Libra in plano ad horiron-
tem recto librata; saltem in data dectiritate. Et similiter in le-
Guentibris.
Omenim (per L2 ∞ +3 hujus) Ponderationis sire Momenti ratio, ex ratio-
bs Ponderum e Diltanciarum componatur: Datis componentibus; datur
compoltu. Iem; Datis compolica, el componentium alcera; dacur reliqua; (Dex
Excepitonem inde pates. Ouoniam Pondus nullum, nihil Ponderabic, in qua-
cunque Dillancta. E Mallius Distanciae, nulla est P’onderacio, quodeunque sit
Poncus.
2 e 3 Cap. T.) Adeoque conttat provositum.
dC +1OL. FD 1.
Va chium; quod iraque speciarim Ponderationem appello: NOn quatenus vel
Centrum Labrx grarat, vel vuset illud ex quo directe depender
Propolitionem hanc (ex sequentes aliquoL) mulciplicem facere, pro raria Di-
Stancix incerpictatione lecundum varios casus, pocius quam propolitionum nume-
rum augere, rilum elt; quoniam eadem cories cllet reperenda demonstratio. Ouam-
que hic adhibui rariarum incerprecationum Distantia, variis calibus accommoda-
tionem; eadem in sequencibus Propositionibus incellisenda exit.
Omencum illud hic incelliso, quo Pondus Grarat Tuum respectire Librx Bra-