Leibniz-Handschriften zur Mathematik LH 35, 6, 4, fol. 17v
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: 0.80.
Original at the GWLB · Page image · Annotations (IIIF) · Download text
One image of two folio pages side by side, registered by the library under both labels (also fol. 18r); this page is its left half.
The machine reads it as
- Ilud ad huc tentandum superest, ust
- aliquid
- tollamus simul
- Utlimm terminum un nnulae numeratore e nominatore, revera
- cum de formulis est agitur, quae habent nomnatores aut semper
- res ad illas potest reruci.
- O-
- +99
- um - ter 47. fiat y = P=
- mm- yy
- sum XX + 2mr X tum
- fiet Y.tipp.
- X+Y.
- 2hp99. - ht9
- = mm XX + EmmrX 4 mutu
- = 2p44 . - 4
- Et quidem in praesenti exemplo tollere simul utrobius et summum, et ultrum
- non licet si tollamus ultimum numeratoris et primum nomina
- tons vel contra sies quidem procedit, sed tunc idem est ac si in
- ac si mulliplicalo prius Nameratore per neminatorem
- ut nominator novus fat extrahibilis, voluissemu
- in producto Sumetatore tollere terminum priamle utfium,
- quod non gelevat
- si et faceremus
- Pum 78 = hh DD
- fiet O=1
- et
- mm 44 - DD
- tb p ee
- FX Aa + PX + q9X + r
- de 15 sax +A XX + 5X + +
- mtst- hh nm DD4Y + hh
- mm 8Y- D)
- Si. formuta aliqua aequatur Ito, semper binae
- Unde aequaniiele lato:
- quaevis radices debent aquari inter se
- itaque si esset m fingamus mn-layus in min-yy =0
- eimul quatuor radices m+ hy m hy m+y m.y evel pro y
- cnbendo Ay. eraaa fiet m + hex+haq. et radices novae erunt
- Xr
- + m X + hgq
- +MX 6 = k94
- + m X + 49 + mX -9q
- + Ep X + mY y - hpX + n + BX Y mY ) + pX
- + mY
- ubi debent duae comnbinates ac duae quaedam equari inter
- se
- X +
- ut et duae reliquae ita de verbi gratia si aequentur
- - h4q+mt
- hgq+ m et X +
- in +hp
- m-hp
- vel debent squari
- h9gtmr
- m+hx
- et X+ 2
- etia aequabuntur X + 49 +nir et X + 99ima
- in + p
- ex quibus posterius est umpossibile
- + X lungs1
- 49+mr
- m+p
- hqqumt
- im- hp
- et X + = 99+mo
- m + p
- unde fit mhgu (+ mmo + phgus + part = mqqu + rm n + hpnir
- seu p = m gu B ,- h: 11 F ehqq + -h
- et rursus .hmqu (+nmD = - mqque (F mmV) + hgqB = h mY p
- =ri94 + mer
- in +p
- et B = 1. n 14 Dm nhgy Y. higq- r
- et p = 1 - h mgqe n4q - mr :, h 49 = mr
- valores duos aequando fit: mgq. 1 - h h99- nir = i h hm gg - h 99 hgq - mY
- 1 = h murgqu - . -k mr hgque my
- sit hag = mr = ao fei p = muqu. 1=h
- trevitatis capesa hg9 + nir = 10 4q+nir. a =l94tmr =1 = 49+ mY = 13
- ruasus fix. r ) Ergo fit 10- n h - 13h. D - 12 seu (h44 mr . hgot. bons -= ( hg qu hn, fugu 2n
- et fit 1- h = h -1 quod est impossibile nisi sit h = 1
- fit 10p + iom uhp + 1 m. seu p = 1 - 10 m: 10 - 1h seu 1 - 10 = 1= h 99
- P = 13- 12 m: 12 - 13fi sed 13 - 12 = 1 -h 99
Cite
Leibniz-Handschriften zur Mathematik LH 35, 6, 4, fol. 17v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068049:0034?run=73