# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068073:0073
# Permalink to this reading: https://leibnizlegible.com/page/00068073:0073?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 37r, page id 00068073:0073
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 38v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068073&page=73
# Source image: https://digitale-sammlungen.gwlb.de/content/00068073/jpgs/default/00000073.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 68 lines, status machine
# Lines: 68 recognised, mean confidence 0.86
# 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.

1d Martii
1679
e
seritamen ad dimensionem arcus
alicujus particularis.
ertla.
Scheda
Ordiamur omnia ab ovo, et cuncta de nostro demonstremus.
centios sit quadrans Circuli Asg. cujus tangeris
ab ut partec Drectata G ad partes A ducta 2b. Cantro
(moveatur radius CB et in eo punctum V, ita ut b
linea a puncto V in radio mobili CB percursa, nempe
linea βY sit ad arcum ad radii ipso inotiti per totum
3C, ut alcus a radio mobili percilrs ( Aß est ad
totum arcum quadrantis Ast Q. eritque AG in quam
s
cadent omnia loca puncti V. spitalis Archimedea.
Hujus quaeramus primem tangentem.
limantur
duo ejus puncta 1Y. 27 intervallo utcunque parvo dissita
eaque jungantur iungantur et 1B 2B respondentia ducatur
per 2V recta 2VA par altela ipsi 1β2ß et occurrens ipsi C1)
patet sumtia 1β 2β adefinite pargq, seu punctis 1β.23
cojucidentibus 1st 2ß fore tangentem circuli in puncto es
vel 2. adeoque ipsi A2) duci posse paralletam, Sed ut
1(32β ipse quoque  circuli tangentem occurientem langento
quadrantis in M. Tam Sed ut ipsi quoque
1V 1ß ducamus paralletam per punctum , nempe aE
ut habeamus triangulum _1eu sim commune E.BN
connunne triangulo, indefinite parvo Y A2), inveftigandum
est quaenum sit 27A ad A1)  num eadem erisc
1to
ratio 1βe quaesitae ad 1βn datam, adeoque habebitur
punctum ∞. jam datur ratio A2V ad 1B2B, et
ge 1ß2( ad A1V. ergo datur et A2V ad A, V ex
utraque ratione composita. Nimirum A2V est ad 1B2(, ut
ut LC.V ad
3
B Radium, et 132(3 ad A,G
iperum
seu incrementum motus peripheria ad incrementum motus
ar
n radio spatii percurti in radio ut penergats arcus
um Ergo habemus duos aequationes:
a R2X
Bs
Ergo cona
si
e
quadr.are.
rad
s et 1β2B
oli
aequ.L
rad
A2Y aeqo quadra are; in C1V
Ergo junatur
1(Z quaae sit ad date 1BM, in composita ratione ex rationibus 
ad quam S. V
quadrat. radii
quad arcus quadrantis ad radium ot C1ssex centro eductae ad opira
em) ad eundem radium. junctae (ME ducatur parollela
per 17 punctum spiralis ea erit tangens quaesita, vel
brevius a puncto C’ad partes e educatur perpendiculans
quae ipsi C1t quae sit ad eam in composius ration ex
rationibus arcus quadrantis ad radium, et ipsius C1Y sd
cundem radium juncta verit tangens opiralis
ad racium