# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851387705:0888
# Permalink to this reading: https://leibnizlegible.com/page/851387705:0888?run=74
# 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 868, page id 851387705:0888
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=888
# Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000888.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.89
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

De Calculo Centre  ascouth.
Cap. V.
36C
C
Adeoque, Figura cujutris, in luperticie lphiaerica, planorum sectioni
bus, vel circulorum quorumris arcubus, terminata, (utpote quae
in exposicarum figurarum aliquas semper resolri possic;) Magnitudo
datiir.
rum Magncucilles exhibere.
F.
Trilinea circulorum minorum arcubus terminata (vel parrim his, par
tim arcubus maximorum,) a Friangulis Spharicismodo dictis, dif
Ferunt Bilineis locae magnicuuinis.
DONet quide Hac Propoticio, non cantum de Magniiudine, sed d de Centro
pravitatis, iltiulmodi Ligurx, c pracedente deduci: Cum pottu omnisistius.
modi in Sphaerica superticie tisura, in Prilinea Rectangula resolri; quae in Cy.
lindri recti superticiales Onsas expandi porerune: Ouarum quidem cum Mas
nitudines, cum Centra grarua, (Dt praecedentem,) haberi Poterune; atque
inde ad LMlinea Sphaeriea transterri, o PtoP. 14. husuS.
Verum cu Ita caleutus fUCUTUS BE PELPLCLIOL Qnam ut illum jam axoredi l1-
sent ea Frilinea Sphaerica, corunuse Palles: ) liber alia mechodo Fisurarum illa-:
beac, (propter rarias se mutuo decultantes Sphaera diametros ad quas exisenda ef
Supeltieiei Sphaeriex desmentum, (Plano abseistum;) vel etiam Superferans
i5. F9r. Zona Sphxerica, (duobus Planis Parallelis interjecta;) eam habet rarionem ad to.
cam Sphaerae Superticiem (hoc eltu ad quatuor Circulos MaximOS;) quam habet
AXIS Portio, Plano seu Planis illiS terminata, ad AXEI COtM. PUTA, quanta pars
est AV, vel VC, torius Aris Aa: eadem pars est corius Superticiei Sphalla
Sexmencum ABB, vel BBSD ZOna; e sic ubique. Per S H, L. PrOP. 13. Hu-
15
Curra Superticies Cunei Sphaeriei, aut etiam Cnnei Seementi Sphariei, Zonaeve
arcubus duorum circulorum in Axe cocuncium interjecti; cam haver ad tOLaI
Sphaerae, vel coram illius Seomenti, aut Zoux superticiem, quam habet Angulus
inclinationis illorum Circulorum, ad quatuor RectoS. Ouippe si incellisatur
A B Da Semiperipheria, circa axem A a conrersa, Luperticiem sphaericam deseri-
vere: quam parcem corius convertionis absolvit A Ba, in licum ABa delata; ca-
demerit cum angulus B AB, quacuor rectorum; cum, integrae Perivherix syi cir
culiu arcus Bb puncto B deleripeus; luique, arcus Dd deleriptus puncto D; d sic
ubique: