# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851387705:0455
# Permalink to this reading: https://leibnizlegible.com/page/851387705:0455?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 435, page id 851387705:0455
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=455
# Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000455.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 63 lines, status machine
# Lines: 63 recognised, mean confidence 0.76
# 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.

PFOP CLVII. ANFINETOEUM.
P ROP. CLVTT.
Corollarium.
Tautem Conoeides vel Dyramidoeides illud Crtindrice vel Prismatioe et–
Dcavetur; residuum erit (ad exemtum Cylindrum vel Prisma marimum in
scriptum) ut 4 ad 3.
Nent  3 =3 ad 1.
T erxona terres A qualium aucta Perie Secundanorum; 29gre∞2-
 torum Ouadrata, Cubi, Biquadrata, etc. 2d seriem illam Aquali-
um, rationem habebunt coenitam. (Puta, Ei Paralleloorammum com
plemento Semiparabola augeatur.) d
Nempe, pro quoris cermino seriei Primanorum posico à Cad abbreriandam ope.
rationem,) e propterea pro quoris cermino Secundanorum a, esc. Frunt
AgicBata.
Ouadrata.
R. = 22 R2 + at
_c
Cabi.
R0 + 3 ae R + 3 a1 R + a
ec
c2. 2 pa f34  rate F3a F. Al F,Al
BBeNCSC FTO F TV M
re oii modo procedendum ejeus b se t  pota
Ouaccanorum, ec. UC Pacet. Sed non explia et  petu
Aurem D R O P, GCLIZ.
1Soe Theorema.
hujus pro
T exponatur series Agtaliuim aucta serie Sublecundanorum; 20
eresacorum Ouadrata, Cubi Biguadrata, ec. ad leriem illam A
qualium rationem habebunt coenitam. (Puta s Paralleloerammum
auseatur Semiparabota. () Sempe
eo exilti
acrach. ett. 
YR + ZraR + Va
Bi td13
arte +: are) are Y. d 
FZ = 10 = 3) 3+
ditumm seni zeure ageBiotai Prongate reuu diitut et Bie inaiso matot
astiuss est duo Theorem se ixt, 03 SC xsHMEES 9HOE
Iseries Aqualium angeneur serie Sulertianorum; AgOrePata, eo-
rumque Cuadrata, Cubi, e0. ad seriem squalium, rationem ha-
bebunt cognitam. oisar sirt. y. 1e
atiiii e
(Puca, s. Paralleloprammum auscacus Semipur aolocide Cdibienti. . Nempes. C
A8GreSAIA. I
Ouadrata.
V3R  Va (VC 4 2Y   I1. F. 1 L.  3V aR
d
ec.
 eri
a
=3
Cabi.
eRO1. CLVITI.
Theorema
VR) F ZVaRS + SraL FVa. Sit
St civlt seb e t up0Bh
AIBHCM
C FY L L M. C M D1 ILIOIL WW3CBAOC 3
Rc pari modo procedendum erre, l exponatur leries A qualiumacla les l se
quartanorum, Subquintanorum, dec. vel etiam lerie radicum. quadraticarum Cubo.
rum, duperselidorum ec. vet padicum Clbicarum decuinguoctm G attartorum,
_C. Ex pariter in aliis.