# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851387705:1079
# Permalink to this reading: https://leibnizlegible.com/page/851387705:1079?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 1059, page id 851387705:1079
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=1079
# Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00001079.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 144 lines, status machine
# Lines: 144 recognised, mean confidence 0.77
# 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.

Prop. III.
Rpiloens, ex Miscellaneis.
60. 600, 150,000, 34
3.00di
00. c
.500
0.000
1000
00.000, 15
6000.S8
00.000.
30000, 15
000.
8
00,000,1
99. 993,843, 999,66
3. 999, 699,9
.99
195
3. 997.
997
60081
83.
6.
9,959
99. 996,999, 065
1000.
30. 001, 050.
00.001,200
30. 00r
00.00
00. 001
.007
00.00
30. 002
16
00. 002,400,00)
38C
2000
4000
9909
20000
13505
359C
24997
5C
332
00c
40785
10788
99. 977.642, 503,
99. 977,492,402,
99. 970, 136, 624,
99. 969,986, 489.
99. 955, 129,783,
99. 954,969, 589,
99. 940,096, 184.
99. 939,045,914,
99. 925,065,795,
39. 924, 915. 455,
99843, 811, 822,
99849, 661,243.
39. 24 15542. 350,
99. 242,389, 480,
98. 464, 986, 865,
38. 464, 829,662
37 83t. 1 34. 5 32.7 866
97. 894.574. 393,5
e
E
dic
6. 002706,2 2
0. 002, 850, 123
00. 003, 600, 135,
00007, 050,75
00007, 200,78
00014, 853, 31
00. 015,003, 38
00. 022,357, 437-
03. 022,507,598,
c0. 029, 863, 376,
00.030,013,311,
00.044,880, 2. Y1,
00045, 030, 4 27,
00. 059, 903.816
00. 060,054, 086,
00. 074, 934, 205,
30.075, 084,545,
E 00. 150,188, 178,
E
00. 250,338,857,
00. 758, 45)
00.758, 610,523,
3) aF 535, 013,235,
02. 5353170,343
o2. 105,265,1607, 213. 4
02. 105, 425,606, 44. 4
68.000, 150,870
D0, 150,010
00.000, 150,010
0. 000, 1
00.000, l
00.003, 150, 012
00. 000, 150, 013,
00. 000, 150, 03
∞ 00.000, 150,07
e
5 00, 000,150, 101,
 90.080, 150, 135,
2 (00. 000, 150, 300,
5 00.000,150, 270,
5 00000, 250, 348
00900, 250,79.
00. 000, 153,179.
00, 000, 157, 183.
(aooet  os eioi
Patet ex hac Tabella, dum S per Spacium  descendic, vix plus afTurgere P
0000, 25. illius alcicudinis, (nempe cancillo plus, ut in decimalium fractio.
quam
1.000,00
num loco interius quarco ne quidem t habeatur, quod hic merico neglisi porerit.)
Adeoque, cum DescentusS Sc ad ACcensum P, ut 200000 ad 15; Si pondus seu
vis AacuS S Sc ad P pondus elerandum Faltem uE F5 adt 100000, (hoc Cst, nt 2 ad
20000,) Vis Ponderi aequipollebic; Timajor, praepollebit, adeoque elevabic, (al.
temeantundem quantum Descensui S per spacium F respondeat.
Scd e illa proporcio tam parum variatur pro spatiis sublequentibus aliquam-
muscis, ut donec S descendisse incelligatur ultra spatia 13596 (hoc est, donec per
tictulam insectum sit in relicam cancum aeris quancum impleat plulquam 13596
spacia ipE P V aqualia) non opus erit tanta vi in S guX Six D. OOOT6
20000O Donderis P,
seu quae sit ad P ut 16 ad 10000O, hOC e, ut T 2d6250, Adeoque, s Vis
Flacs S sic ad pondus P Faltem ut 26 act 10000D, Teu F ad 6250: elevabitur P
falrem cancundem quancum Delcentui S per spatia X3596 respondebic; hOC eA (ut
ex Tabella liguet) plus quam =o
Cum itaque non inconeruum sit uE Vis Flacus humani accectat Falcem ad
STTETE2
20
92. 992,943, 25
99. 9923799722
99954, 996. 62
149
1500
2997
99. 985, 146, 69