# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851387705:0724
# Permalink to this reading: https://leibnizlegible.com/page/851387705:0724?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 704, page id 851387705:0724
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=724
# Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000724.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine
# Lines: 61 recognised, mean confidence 0.87
# 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 Centri Ciravitatis. II C ap. V
NI. item (in parcibus horum) Summa Sinuum rectorum cujulris Ar.
cus particulis (in Tuo situ) conrenientium, aeguatur Parallelosram-
mo aeque alto, balem habenti Radium Chrculi. (Summaque Sub.
tensarum correspondentium, hujus dupla. )ivrasop cunis
Adeoque; Summae partiales, lunt Alticudinibus (seu Axis particulis
rinterceptis) provortionales.  3a aoe) ssilo iN c
FCs Summa Lsre Partialis, sire Tocalis,) Centrum graritatis, in me-
dia Alticudine Sclitenlarum quidem, in ipso Axis medios Sinuum,
Taltem aque alE. icC VIC Sixs sit ilssipis S.I LitBV sISI
evore t
=F. liC
Hine eadem etiam, pransterumne 2e Supersierem curvam Dneula suver
Semicirculum, ejutre Portionem crecta cujus Acies siE. Diameter
Semicirculum terminans. Nempe,
Si plani secantis ad. circuli planum Inclinatio, sit Graduum, 15, seu
Semi quadrantalis, (adeoque altitudo maxima, aequalis maximo Si-
nuum;) Curra superficies xequatur summae sinuum rectorum; (et
Partes partibus respectire sumptis.)
Si vero Alcicudo maxima, sit ad maximum sinuum, ut Peripheria
vel Semiperipheria ad Radium; erit Ungulae Curra Superticies.
aequalis curra superticiei Sphaerae vel Fremisphaerii cildem planis
Cari rectis) incerjecta. Arque in aliis Atcicucinibus, proportio.
naliter.
S. Et. Centrum Graritatis (quacunque sic Snonlae altitudo) in porpen-
diculari Plano medio inter extremos SinuS.
deti 70
AC BBELI CEP) cum i evilli inciorto
M, N, T. Atque haec eadem, ad Ficuram Sinuum Rectorum, sire Ouadrantis unius
sire totius Semicirculi, (quae quidem nihil aliud es, quam illa Se-
miquadrantalis Ongula Semicrlindri Curra Superficies in planum
expansa,) similiter accommodantur. Nempes Fisuram illam Si-
nuum rectorum unius Onadrantis, aequalem, esse Onadrato Raci:
totius autem semicirculi, aequalem duobus iRadii Cuadratis; et
Sermentum quodris duobus linibus interjectum, aequale facto ex
Radtio in Diametri Circularis Scomentum duobus correspondenti-
bus in Semicirculo sinibus interjectum ducto. (Unde et alia ejus
dem portio quaelibet, currae hujus particula et recta rectitre ter-
minatas similiter data exit.)
cteas ntist tue.
stC
Eademque porro ampliantur, ad Summas Quadratorum, Cuborum, Bi-
quadratorum, aliarumre pocestatum, corundem Sinuum. Rectorum.
Nempe; OE omnes Sinus Recti, Seemento cuiris Semicirculi (paral-
lelis Sinibus interjecto) respondences, aequancur facto ex Radio in
Diametri Scementum interjectum ducto: Sic et corundem Sinuum
Guadrata omnia, Xquantur Ractio in omnes ordinatim applicatas
(eadem ad inricem distantia sumptas, qua distant in arcu circulari
Sinus ipsi) segmencum illad complentes ducto: Et Sinuum illorum
Cubi omnes, aequantur R adio in harum Ordinatim applicatarum Oua-
drata: Sinuumque Biquadrata, Radio in harum Cubos ducto: et
Sc deinceps.
W. Acque hinC POLHaDEtuT, Momentum supec hua itius Sem-
exlindri, ejulre segmenti, respectu (aciei lux) Diametri circularis.
(Nempe, in Semiquadrantali Vngula, Sinuum illorum Ouadratorum
Summa aequale: in aliis, pro alticudinum rationc.) Iplumque ora-
ritatis Celuut.
IFCM;
D.
e.
V.