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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)
# Folio 460, page id 851387705:0480
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=480
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 recognised, mean confidence 0.73
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

460
ARLTAMEETCA PFOP. CL XXXV
Recipr. Ouacrat.
e Nulla. seu X qualium.
es Sccundanorum.
erim. seu Subprim.
E Ouadr. Subtert.
3
2
25j.
48] l0 658 (9384 8
E. Subsecundanorum. 3 j. F 28 3] 48) 6 78) 50 (128, 25 =
 Ou. Subquintanor.  2 327- 78 11 2428,  23564 
e Subtertianorum. 28 F 228) 4 638 10 2428 20 2628, 35.
Ou. Sub sepcimat. 3 pui j F , n b 14 51 au 1228. 1112618., 5036a
SubGHaTTANOTUM. [38E F 12583 5 1858+. 25 (23364 35 150507 7. 1
Ec sC deincers.
SC HOFFA
Arque hic jam notare licer alceram eriam seriem earum quarum in Scholiis
PrOP. 265 et 16B. meminimus, nempe eam quam PrOp. FFB _ T2F prius tradideram,
etiam in hac ipsa Tabella inexspectato Prodire: in serie nempe trantrersa tertia.
1SI Su Li1SI insiDTR O, PSCL, X X ∞ V L. s. HBCI. a ∞.M L 1II1
ey esiie sest ibasrnsto Theorema. siis t scwgictoB eu
esee eri  1C3 C
Inc. patel, quod Sexies intnita radicum univerlatium, ad seriem co.
LL cidem sequalium, rationem habere potest latis explicabilem.
di Nempe per prop. praeced exies lorrienit sie sp   sset
YqRetid. ) Retidita t atricu rol x a ClbOrum.
Yu: V.R = Y 9: VR = Y a Nu: YR = 3 VR= a + 3VRa2= Va:
Va: YR = YB: VR = VB Va: VR3 - 3YR =b + 3YRB 2 = VB3: 
Va: Y Yc: VR VC Va: YA:  3YR2C + 3YRC~ -103:
5
c. ad
dec. a2d
dec. ulque ad
Y: Y_ = YR: YR = YR Va: YR2= 3YR
3 AV99R SAVB
Ss AV9qR
ius Rehiduorum. P Residua. L pl. 1130BIur ) 9.JCuborum. et eiiu de
Sa. VR = Va: V R = V a Qu: VBH Z VRa  5VR a = 13 a 3.  eur
Ya: R Yeb: NRY3B. Va: V (3 VRB f 3 YRB -N3b3: 1DC 1
Ya. VR= V6: Vet =N3C Va: VRi 3 V. NotB, NE R ∞ = V768 nirit
ecc. ad
ecc. ad
ec. usque ad
Vu: VR = VR: VR = V R Y: BR = 3 VRR F 3 VRR f p.P
IS AVOR j+ AVX
vel E5 AVSR
325 AVCR3 = 38, A V R
a r 1s I A VCR3 = 16, A V R
2
132
e
Et