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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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liop. VII. SeCascuoamtcor
Sune aucem (ue jam ostentum est.) cimilium Sectorum intinice exiguorum (cx Fis. 199-
quibus contlari incelligicur Fisura Spiralis) Radii, ut cocidem an Arcus vel Anguli 203
arichmerice proportionales; adeoque Sectores ipli, uc toridem a, cotum Ouadrata.
Sed et eorum Cencra Praricatis R in Sectoris cujusque medio Racto hiliier Licam
utpore quae iplius Beste (seu duobus criencibus) ab
M distane (propter arcuum intinite exisuorum quam
Suxponimus cum chordis coincidentiam; laltem, 1a-
tionem intinite- exisuam;) Per prop. L4. hujus.
Ec propcerea illorum a PMF diltanciae L5, (Hs, 200.)
Tunt in ratione sinuum rectorum, areuum seu angu.
lorum arichmecice proportionalium, ad Radios icen
(M R) arichmerice proporcionales; Duca UtaS; HOC
elt in rarione quae componicur ex slinuum angulo-
rum axichmecice proportionalium, et a radiorum li-
militer in proportione arithmetica crelcentium.
(Neguis aurem haereat, eo quod non sic idem an
SuIuS PMR (cui conrenit RS,) qui ell Sectoris
PML Z, (PTOPter rectam M R P per medium Sectoris
ZM X incedentem:) Id nihili res est. Ouippe; li
Donantur anguli PMI Y, UE E, 2, 3, 4, _C. CrinE an.
BuLI PMR, ICW PM F, 11Z, Z2, 25, 32, dc. OuX
in parcibus innumeris, intinite exiguis, cancundend
valent. Vc ad prop. F. hujus, ostensum elt.)
FxUNE itaquC COrUM, respeCtu ipSIUS PMIF, MO-
mentorum ratiO (UIPOTC ex ratione magnicudinm
a2, e diltanciarum a s, compolica,) uc as; hoc
elt, ut a Series Terrianorum (seu cuborum quan-
ricatum axichmetice proporrionalium) in s respecti
vos Sinus rectos arcuum seu angulorum arichmetice
proporrionalium. (Perinde aurem elt, Momentum
quod spectat, sire Donantur Pondera a 2 in dictanciis
asy live Pondera a in distanciis s; quippe urobique
NOmenta CruHE a 35.) Et quidem, pro duobus qua-
drancibus primoribus, 2d (ipsIuS P MI F) ParteS F
quam Ponderationem Ligno L detignabimus; pro
duobus sequentibus, ad Partes concrarias, hoc elt ad
G, (Dropter quancitates ipsas, ad conrrarias rectae
PMF partes, POTItaS,) quam Ponderationem Signo
delignabimus. Ft similicer in quadrantibus se-
quentibus faciendum erit, prour, ad illas rel istas
parces ponantur: Nempe, proquadrantibus Duinto
e Sexio, ponendum lignum F; pro Seprimo ee
Octaro, tignum -: et lic deinceps (alternatim) duo.
bus intermissis.
Ouod cantundem est atque ( cotidem BV (ip(IS 5
proportionales) complentestiguram Sinuum Recto.
Fumarr (fig. 170.) rel l quae candem aliquories
repecitam extribet) Mo FVAvP (fi3. 2OF.) quousque
ODus erit continuandam, (ad alteras atque alteras
iPLINS MF A T partes politam, prout iptius tigurae
Spiralis licus poltulat;) onerencur respectiris a, in
eriplicata ratione luarum ab MI distanciarum, arich.
merice provorrionalium; hoc eA, serie Fertianorum.
Sive (quod tancundem est, proxter dictantias M
=an) ut Momencum (respectu ipsius M P tiG. 2OF.)
omnium a 25; hoc est Omnium BV ==S, selpe
ctiris a onultarum. (Signis f - rire considera.
5.
HIOC elt, DeF PEOP. FO. hujus, ut Aecresatum
omnium a Si l’ulgue ad a masimum) rories sump.
PEEEL2
altaltus
Fig. 201