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# Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmarks Leibn. Marg. 84:1, Stück 2; Leibn. Marg. 84:1)
# Folio 82, page id 826605435:0102
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 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.
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# After the first blank line: the recognised lines in reading order, one per line.

e CLodd
Fermario paulo anre disserveram) hc se spatium hoc Cissoidale ex
noltra Infinitorum Arithmerica suppedicare posem.
Id ieaque larim. qui fieri poitie, sequenei demonstratione in-
dicabum; quam non pisebit hic repetere.
Si ducantur rum Z C; H diateter, cum rectae R C, & H Z
F18. 22. (diamerrO C F in L. OCCUEreNS:) Ollendic PappuS l. 3. P. 5. PrO.
PEer cum Z Z bisectam in FI, CuM ZK in C, rectam K Z
rectae GHI parallela esse: AdCOQUE CUM Z C K anoulum in
Temicirculo, cum angulos ad L, rectos esse: EF consequentet re
Ctas L F, L R, L C, L Z, concinue proporrionales. Ouod qui
dem non minus valec de puncto 2 quovis in Cintoidis concinua-
TIOnC exEFA FemICIECULUM, quam (qui P apPi casuS etF) ubi inEra
semicirculum contingit.
POnAUS jam rectam F C diamerrum in aequales parceS nU-
mero infinieas infiniris punctis L. dividi. Frunc icaque omnes
CL, VE Z, 2, 3, 8c. arichmecice proxortionales, quae succes
Sire dicaNEUE, a; QuarM maxima C F dicatur D. FrIEque L H.
(quippe media proportionalis inter C L. _ L F, hoc est, inter
a e D  a3) N: a D = a. Cumque SIE UE L H ad L C, sICLC
ad L Z; erie LZ-
ad
N: D, ad
AVC
V: a D  a
hoc et V aXV: D - a
sive
Na vel V, . HIOc est, omnia qua-
V: Da
a
draca L Z, Cune series Tercianorum, per seriem Primanorum in-
verse politorum, respectire divisa: iplaeque L.Z. rectae, in horum
guadratorum ratione subduplicaca.
Quod aurem omnes v p hoc est, omnes J. Z. spacium
FC Z A F complentes, ad omnes V: a D = a: vel V ax .
D un a: hOC est, dd omnes L R complences semicirculum, sine
in ratione cripla; ex principiis Arithmecica Infinitorum (IC col-
ligimus.
Si series subsecundanorum sire aa, in seriem PrImAnOTIM a
inversam (hoc est, inD = a) respectire ducatur, fiet series D V a
a Vasire DNaL Vat; quae est ad seriem Aqualiu Fiveco.
tidem D Y D vel Y D, uCZ = 3 ad X, sive ut 4 ad 5. (Det
PTOP