# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1041163592:0334
# Permalink to this reading: https://leibnizlegible.com/page/1041163592:0334?run=74
# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 300, page id 1041163592:0334
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=334
# Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000334.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 recognised, mean confidence 0.91
# 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.

300
PHILOSOPMLA NALDRMLIS
DE Moro dxis sui versus D progrediencium Fructorum minime resictatur: bi-
Conronum seca alcitudinem OD in Q e produc O9) 2d S uc siC 95 aequa-
lis OC, et Crit S vertex Coni cujus fructum guaritur.
Onde obicer, cum angulus CSB semper sic acutuS, consequens
est, quod si solidum LD B P. convolutione sigurxe Fllipricxe vel
Oralis AD BF. circa axem AB FaCtA GCnCrCTuF, de tangatur Agura
generans a rectis eribus PCr, CHI, IL I in punctis F, B dc L, ca
lece uc C sic perpendicularis ad axem in puncto contactus B,
se FO, ICI cum eadem GFY COnTInCANE angulOS FGB, BHII
graduum 135. Tolidum, quod convolurione RgurX AD FOFIIF
circa axem cundem CB generatur, minus resictitur quam solidum
prius; E modo ucrumque secundum plagam axis sui AB progre
diatur, ec ucriusque terminus B praecedat. Juam quidem propos
cionem in construendis Naribus non inurilem futuram esse censeo.
Ouod A Figura DNFC
ejulmodi sIE Curra UE, AI ab
ejus puncto quovis N ad
aXem AB demittatur per-
Dendiculum NM, ex a pun-
eto dato G ducatur recta
GR quae parallela (IC rectae
figuram tangenti in N, e
axem productum secet in
R, FUCTIE M N ad G R UE
G. R cub 2d 4 BR XG B9:
Solidum quod figurxe hujus rerolutione circa axem AB Facta de-
Scribitur, in. Medio raro praedicto ab A vertus B movendo, minus
relistetur quam aliud quodris cadem lonsicudine et lacitudine de
Ceripcum Solidum circulare.
PROPOSITIOZXXV. PROBLEMA VII
Si Medium rarum ex particulis quam minimis quiescentibus aequa-
libus e ad aequales ab invicem distantias libere dispositis con-
stet: invenire resistentiam Clobi in hoc aledio uniformiter pro-
gredientis.
Ca5. I. Cylindrus eadem diametro de altitudine descriptus pro-
redi incelligatur eadem relocitate secundum longitudinem axis
ui in eodem Medio. EF ponamus quod partieula Medii in quad
(C3lo-