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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 124v, page id 00068195:0248
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 123r); this page is its left half.
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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.

sinus est media proportionalis inter radium, e parallelari faxi
parabolae
ins
15. 1. R9 15
1. 4 ey 12
16.9
16- 16 R9 0
Figura conflata ex quadratis sinnum; aequatur cylindro
cujus basis est quadrans, altitudo radius.
Eadem figura conflata ex quadratis smnum, in est ad
Chemispharis figuram conflatam ex circulis quadrantibus eorundem sinnum
seu ad quadratem) ut quadratum ad quadrantem inscriptum fasum
esto quad rans X radius a. Erit figura conflata ex quadatis
sinuum Xa. At figura conflata ex quadrantibus 2Xa
esset ergo quadratum ad quadrantem, ut 3. ad 2.
Ergo porto quad ato 3. erit Radius A9 3. radio a
cum quadrans fiat ox radio in semiquatrantem peripheriae
ducto, ergo Axa posito quod rato 3. erit Radius
R4 3. quo si dividatur quadrans 2, et productum
duplicetur, habebinus, circumferentram arcum quadrantis
s credere fas est:
2
LR43
2
1 BR43. BR43
.
et arcum Circuli L Radio posito R43. et diametro
16
R43
Rq12
peripheriam
Rg 12. Ergo ratio peripheriae ad diametrum erit:
16 16 quod est absurdu
R43b
Falsum ergofiguram conflatam ex summis quadratis sinuum esse
RqN
ad figurum conflatam ex quadantibus, ut quadculum ad quadrantem.
Ergo valde cavendum ne indivisibilibus abutamur.
16. A17 20 24 19
Y2 16 520 424 420 432 436
4 9 16 25
R 1. 2 3. Ag 5. R9 7. Rg. 9. R_ 11. 13 15. 17, 19. 21 23. 25
10 + 4