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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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ndera
18 V
otuum Ocnditate.
PFOL. LLLL
LSIC) I LLOTZOntali recta AB, (cui ad recton
angulos insistit S F P recta,) conrerla recta PA in
celligatur peripheriam AS B P describere, in plano
ad Florizontem vel recto vel urcunque inclinato.
Prit, inquam, peripheria punctum Alcissimum, S
Intimum, P: Intermediorum vero, ut C, HI; quod
propius ab S diltat, ut  Superius; quod propius d
E, uc FI, interius; Ouxque xequalirer rel ab S, vel
2 P distant; puta G, C: Vel FB,II; aeque alta.
Sic prinum ASBF Deripheria, in plano ad Fori
zontem recto; Adeoque Centrum Perra in eodem
plano, (per FD Elem. 3.) DUta, in C, extra Cix-
culum. Ductis, ab altignacis punctis, lineis rectis.
in C. Ferrae Cenero cocuncibus: conitabit provoli.
Tum; Per 8. FleM. 3.
Sin tantae magnitudinis intelligatur Circutus
ASBP, uc ad iplum Terra Centrum, vel ultra,
pertinsar; silque C, rerbi btatia, vel incra Circulum, vel in ipta peripheria. Con
ltabit proxoticum, per 7 EtOM. 8. IC
 5:
Sit deinde, Circuli planum ASBP non ad FTorizontem rectim, led mreunque
inclinarum; Adeoque nec Centrum Ferra in eodem Circusi plano, pura in C: led
extra planum, ut in R: Onde, ad obliguum circuli planum, duci incellisaeur
RC perpendicularis, (punctum C, ominium in obliquo Cireuli plano punctorum,
proximum ad Terra Centrum, adeoque omnium intimu delhonans. ) Ec jun-
sancur cum SC, GCy HIC, PC; cut S H GH, PL K, F K 1. Ollendecur, ut peius,
(Tire contingat C intra vel exera Circusum.) omnium ad C ductarum, longissi.
mam esse SC; brerissinaim, PC; irem CC, longiorem quam FI C; aequales autem
cum CC, CC; Tum FIC, HO. AdeogBe Smocis quadratis; Ouadracum SC.
maximum; PC minimti; C, Mrajus quam FLC; Ouadrata C C, CC, hem IIC
FIC, invicem aequalia. Ideoque, addico communi augmento, quadraeo CR; CxUHE
ouacracotum SC, CIE, abSIC atint, hoc elt (per 47 FLem. L.) quactracum S K, omni
um maxinhum; Guadracorin PC, CH, Hoc est quadratum LL, minimum; Glla.
dTatOTUM CC, CL, hoc es GnacaC L, majus quam quadracorum FIC, C. I.
hoc Cst quadratum ITI; quadratorum GC, Ci K, dC C, Ck, hoc est quadrata
EK, CK, invicem aqualta; similiter, quadratorum HC, CK, d HIO, CK
hoc est quacrata III, TIR, inricem aequalia. tirgo et Tumpiis laceribus; Recta
SK, Omhium ad IE ductatusm, maxima; P R, minima; CdK, lonsiOE quam LL H
ec GK, GK, icem HK, HR, inricem cequales. Adeoque, punctum S, omnium
Ferrae Ceniro Alcissimum; P, Iatimum; C, alcius quam LL; e (, 9, vel FI, LI,
aeque alta. Ouod Crat PrOPOLIUM.
Ala Demonstratio.
Idem ostendetur, Si intellisarur Cen
erum Terrae panquam intinire diltans. Nam.
ductis id punetis S, P, C, H, act subjectam
rectam Florizontalem quamris perpendi.
cularibus: Si planum Cireuti CL, 2d. FIOrI.
20
Prop. 25. F lem. 3.
Si vero planum cireuli ad Florizonten
TIE Obliquu. Intellipantur ab assignatis
punctis S, P, G, L demici ad planum H0.
rizontale quodris subjectum perpendiela.
TeS S0, PX, C7, Fln; ex ab uldem punctis,
ad communem planorum FTorizontalis c
Inelinaci Sectionera, coridem. act angulos CSC
rectos Ss, Pp, C8, IIB: (e compleancur, Friangula) Ostendene, (ex 20 de sen XL.
has illis (propier similia crianoula S0 si P X p, (DG, IIn B.) proportionales elle
Adeoque; quae d communi dectione 5sp h lonsius distanc puneta in oblquo
plano
Trea Punctum F (quod Perrae Centrum non