Leibniz-Handschriften zur Mathematik LH 35, 9, 21, fol. 2r
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.81.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 1v); this page is its right half.
The machine reads it as
- CALCuLus
- centrum gravitatis corporum A et B
- notat locum primum, d2 secundum, 3tertium
- 1C2C = 2C3C IAIC = 3A3C eBI C = 3B3C
- t puncta 2A _EB, 2C coincidere intelliguntur
- I asu etrursus BC repraesentat corpus A
- B 162C vel C3C sit C C semper cadit inter e et b distentiamque
- A_, a 1C2C, C AC, a. BC, b i AB 2AR 1BG
- sit A corpus quod Posi sequitur
- C= vo-a Ergo per 1 et2 c. b-y
- () seu EA3A-
- b
- 2C 16 150
- 150
- 6 igi
- 198
- IAA S BBA AC3 8G,B. 1 C2C, 2 1A3Ag1. 2B3B, 8
- ele
- 1AeA, 1V. 12B3
- A2A, 5V. 1B2B, 4y. AC, 3b. BC6a. 1C2C, 2C.
- 2A3A5 lX. 283B, 84
- A autem sit corpus, quod post centrum gr. insequitur
- 50+ 4y36+ba. ubi 4 significat + si corpora sibi
- occurrant; at idem significat-. si in easdem partes tendant
- 2C=, v - 9b2 (per 1 et 2) 6a +4y
- (6
- -1X , C - 3b~ 5v -(2) 3b et () 3b = 5V -. - 1. X
- 8Z =2C +6a = + 4y + (2) 6a (per 3) = 5v- 3b +6a (per 2f7)
- et (2)6a = F + 4y + 8Z (per 7 et 8). et (per 2,1)
- orit 8Z -. = 1. X = 6a + 3b. Ergo (per 1) 8Z-. = 1. X=
- =
- 164y = 36+6a -5V per 1. etib al 2 2E 20bb
- et 16 yt = 9b+ (2) 18 ab (2) 15bP + 36a - () 30 av + 25v3
- 15)ua
- 3 6
- 3 m
- 3 probatio per abj. X1
- .. . . 1X
- p_48b9227b3+ (2) 5it ab (2) 45bv + 105 a b- (2) 90 abv + 35 by
- vilisc av io av:
- Ca H =
- Occursu
- +3s
- HVX
- 6a X2 2(150aV-(4) 90 abv + (4) 54 ab
- 19463
- u
- 7 per XI
- 9 prob
- 275bV - (2) 5 b v + (2)90 abv +27 b3- (2) 5i ab
- patet valaem 15 + val. 16 = val. 17 + val. 18
- 2(19)
- Habeunus ergo 484 150 a v + 48by = 6a X + 194b
- (20
- s sa 25V - 1. X = 3b. 64Z - 16y. quam divi dendo per eg (12))
- (21
- 22)
- fiet 6. 5B = - 1X = 3b +4y+8Z. seu 6a 5 3b4y = 6a - IX + 3b8Z
- su
- paeqealii 2
- se quod significat different
- vel sumum quantitatum motu contrariorum, vel sumuan diffeuntiam
- Monsniraatium este eandem, auic aut post concursum, semex
- segnoficat
- a
- sum
- patet autme ut corpora esse reciproce ut summas
- rasua
- su
- ua
- sta
- sex A, C:BC a 3D. CB:: 1A2A+ 2A3A: 1B+ B+ 2B3B. Sed ut sciamus quando summae aut diffrae sint
- Hnc generale prodit pronuntiatum memorabile et paradoxum
- adibende
- Si corpus post ictum e regrediatur, summae, si progrediatur
- differentiae velocitatalm (seu spatioum aequali tempore ante et post ictum percuasorum)
- sibut corporibus neciproce proportionales, uod in ordiner rectur restintur atesi
- tatuit
- 6+3: 3:: 8: 45+ 4: 3
- 6+3: 6:: 5+4: 6
- 12
- taradoxum: duo corpora
- cossunt se directo genisu
- nuo sistere, quae tamen virium
- sint inaequalium rmco nisi sct
- aeque celgres et aequales semper
- inaequalium sun virium absa
- lutasum, esi respections ictus
- habeant aequanes. ita si corp
- corpus t. et t. 2 use f mgns
- habeit ut 2 habeat celeritalem
- ut 1, et aleerum ut + vella
- tatem, ut siscent sese, sed
- tamen vires hibent in aequul
- nam prioris vis est 2, postenons
- est 4.
- difficultas quod videtur
- cstpus eo magis reflecti
- quo motum est deterius
- Ol. 31:: = 4y+87: 5V - = 1. X:
- 68:: 3b +6a -∞ + 5v- 3b+6a:
- +5V L5V + (2) 3b
Cite
Leibniz-Handschriften zur Mathematik LH 35, 9, 21, fol. 2r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068146:0003?run=73