Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 38r
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: 0.83.
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The machine reads it as
- LH 25, 12, 1
- Bisectio Hyperbolae, ope Hypeoctaends (abreae quia cylindem Hypetolicae est mo-
- mentum Hyperboloeidis Cubit, lina ergo seu momentm ejus ex basi, Ergo distantia
- centri Gravitatis ejus aHyperbolveidis ab axe, quaehaberi pt ypol
- Hypeibolae cylindium biseeat.
- a = xy. idio yx y - a c YX - a = X - aB
- e
- 7 =
- a = xy.. Ergo a - y, et 4 y. MX - xy a a
- 7
- a
- a
- BC
- asm dn quaeratura hypertoloeclis rubica ) Nam Et quia summa omntum
- ad basin Tummaeomnium xy ad axem. seu vibus a, ad axem Hinc quadratumr
- ult.
- aGX. Ergo quadruta omnium es seu summa orumys = a. Eyl. Hyp. Quadrato omnium X est:
- hypeibololidis uebicae a=yax
- X= a hinccylinda Hyperbolocedis. , ∞ a5- yx. porro quadrata omnum
- Y quae basi parallet, aequntu ad allitudinem, aequantus quadra omnibus
- in y. ad abtit basin. a. Ergo summa omnim a ad alt. Homn. a ad bosm
- Contra X in y. ad altit. quin y = sa erit yx- saX; aequantur
- aequalis.
- scilicet oibus X ad basin Hinc quadratura cylindri Hyper
- voloeidis a= Y X
- a = yX. Hinc a= X (Glinde hyperbolocidis a- y X) ad ast.
- F = Xy = a 1, Xseu aX, sOH s seu cylinde Huptato
- locidis, cujus X aequatio aX = y
- Mt y a YS Cylinde hyprtolocidis cujus aequato y 2 a sei
- YXa ali. Sdcu cum XCY adbas. ser a- yX. Cylin.
- der Hyperbolvendis a = yX.
- Hac melhod. quadrari possunt Hyperbolocides in unversum
- omnes.
- ota
Cite
Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 38r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0075?run=74