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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 631, page id 851387705:0651
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uine
Parallelae. Frunt igitur, in sicu Floricontali
(propter cum rectas AD, AP, cum BD, BP CO-
incidentes) eadem urrobique Declivitas: (nepo-
ce urrobique perpendicularis:) Irem, in licut
ad FTorironcem Perpendiculari (propter an
Sulos Da P, DB I, rectos) eadem etiam
Dectiritas (quippe uerobique nulla:) Sed
ec in Ciu Obliquo (propier cum a T, BI
cum aD, BD, invicem parallelas; adeoque
Obliquicatis angulos aequales D a T, DBT.
quos eum directione Morentis Facit Dire.
Etio Nobilis;) aqualis urrobique Decliricas
(Per Decliritacum Detinitiones;) adeoque
erim caetera line paria) aequiponderabunt
(per X3 hujus:) Cum itaque concraponde.
ranc (per X hujus) se mutuo Tustinebunt
nec HeT MOCUS (PeT 12 Cap. Y.) Ouiescet
isicur Libra, quocunque siu polita. Ouod
crat provolitum.
Incelligatur deinde Ferrae Centrum, ran-
quam in Viltancia Pinita; adeoque Perpen
tet
dicula seu Reetx ad Cencrum (Directionem Moventis designances) invioem con-
vergentes puta, AK, BK, ∞R, BR, aK, bK, in Terrae Cenero R cocunces. Si
itaque ponacur Libra in suu ad Horizoncem Perpendiculari; erir (proprer R a F,
Rb C, ansulos rectos) aequalis utrobique Declivicas (quippe nulla:) Trem, in
Tic Forizoncali (proprer cum angulos C A T, CB I, rectos, tum C AR, C BK,
invicem aquales) aequales item exunt Obliquiratis AnSuti K A F, IEB F. Adeo
que (propter aequalen ucrobique Decliritacem) aequiponderabune, de sese ucuo
Jastinebune, A, B; Libeaque propterea quiescet, per modo demonstrata. Si ve-
20 vonatur Libra in siru Obliquo: Obliquitatis Ansuli IX a F, RB F, inaequales
Crunc; ec quidem major ille qui est ad Brachium clerarius: puta IL a G.  Nam
duorum aqualium ansulorum Da T, DB. P, altero semper Major est ansulus, ille
Ka L; AILCTO verO anguluS RB F vel Minor erit (nempe quoties ob magnam
Librae declivitatem, vel magnam Cencri distantiam, BR cadit inter BD. et BI
vel eric Nullus (nempe, Si BK circusum concinigat, adeoque coincidant B L, BF)
vel saltem Minus cum superabit (nempe E quando propier exisuam Librae De
dlivitatem, vel exieuam a Centro Perra Distanciam, BP caclat inter BH BL PD)
ob angulum, R BC, majorem angulo RL a C (per 28. FI. T. Pvctid.) adeoque (qui
ad rectum reliquus cst) HEB L minorem (reliquo) R a T: (’Oux Schema cin
templanci Patis obria Lunc.) Fric igitur (quocunque sic Obliquo ponatur Li-
bra: modo Terra Cencrum incellisatur in distancia tinita) in mocu depressioris
puneti Bminor Obliquicas, (adeoque Dectiritas major) quam elatioris a: adeo
que B praponderabitu per c3 hujus. Fr consequencer (eum de punctis reliquis
veriusque Brachii respectire sumpris, idem sic judicium; lineque caetera paria:
deortum ferecur Brachium deprellius (per 12 Cap. L.) donee redisatur Libra, ad
sucum FTorizonci Perpendicularem a b. Quod erat propolicum.
Sune qui contrarium hujus attirmant, inter quos sordanus dt alii, alterentes
Libram obliquo Tuu policam, lacum ivi in licum Horicontalem: contra quos pro.
lixe disputar Cnid. Obaldus in Mechanicis. Dui candem concludit, permansuram
Fore libram quocunque sim policam, etiamsi contideretur Centrum Terrr can-
quam in distanria tinica. Duorum neurum dicendum este ex supra demonstra
eis constat.
Eime lequicue, Ejusdem Recta non unum aliquod starum esse cencrum A
quilibrii; quod nempe idem sic pro omni sic: Sed, in sicu obliquo, a puncto
medio magis maxisque ad parcem declixiorem procedere, prour obliquicas major
fuerie; dummodo Centrum Ferrae incelligatur in dictaneia finita. Ouodque hic
de Rectae Centro Aguilibrii dicirur; similicer intra incelliseme de Centro Cra-
vitatis in Solidis, Planis, aliiive.
Sed e ex uldem principiis probabitur, Ejusdem Cravis (caeteris paribus) era
vitatem minorem continuo fieri, prout Centro T errae macis appropinquat. Si enim,
verbi
7
PrOP. X