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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 208v, page id 00068196:0412
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dranda sn hoc cadulu et generalter quaevis forma
alas f est productum e parium, 2C pariparium, vel B paripariparium ete
Ex. gr.  Forma 10. 21. 11. 24. 1072. 13. 24. 10. 21. 11. 24. 10.32. 13. 24 quae explicata continet membi
si. J . Hete    t ( ni t. H e, o.t
rpo Ex quali quaiparibus, + 10. 2. 1. 24, +10 22. 13. 17, f 19. 2. l. 29, 410. 23. 1524
10. 21. 21. 14 - 10. 22. 27. 14 = 10. 25. 21. 14 = 10. 23. 23. 12
20. 11, 11.24 = 20. 15. 12
+20. 15. 2. 14 + 20. 12. 13. 14 420. 11. 2l. 14 +20. 13, 23. 14
=20. 11. 1. 24 = 20. 12. 13, 24.
Ex duobus cariparipaibus +. 19. 2. 14. 24. 10. 22. 13. 24.
+1021. 11.24. 10.32, 13. 34
.. . . . . 20. 1255
2. 2. 2. 2. 2.2. 2. 2 = 256
4. 4. 4. 4. = 256
16. 16 = 256
patet autem nihil pro referre, quo ordine ponantur producentia. Itaque tantum opus
su  ne par i divellatur. Atque adeo nihil referre, atrum scribas 10. 21. 11. 24, an 11. 24. 10. 24
 an vero 21. 10. 392+, an vero 24. 11. 21. 10, an 10. 21. 24. 11 an F  24. 11. 10.21
an denius 21. 10. 11. 294, vel 11.24. 21.10. Tantum 10 et 2l non sunt à se invicem
separanda, nec 11 et 24. Idem observandam est in paribus pluribus, ut tan
tum divulsio paris vitetur. Par enim illad revera est formula compendro se
tantum expressa duabus constans partibus, ita 10. 21 significat + 10. 21 = 20. 11, ubi
patet etiam transpositis utcunque paribus vel paristaribus etc
servatis notis dextris, permtantur sinistrae
per explicationem ditho
Formula explicari potest vel explicando utiumquemque pro ducentem,
vel ducta ipso producentium invicem rectualiter facto per dicrotomicaque
exhibitionem, quae Bariaretur prout transposita essent prodicentia
dispositio quam secuti sumus hoc habet commodi, ut ejus ope etantus
sed tamen semper prodit Idem
facio ex calculo duarum datorum aequationum ejusdem gradus
facile habeatur calculus in quo pqa posterior aequatio est
gradus inferioris faciendo scilicet 20 =0, vel 20 et 21, 8 -0, et ita porro.
verb. ex paripariparbus provitne posite faciendo 20 =d, fiet
+10. et. 11. 24. 10.32. 12. 24
t
110. 21. 14. 24. 10.22. 13.24
supra
Hoc loco in quavis foma
notae dextrae manent sinistrae
lum in eodem pari permutantur
Metmbrum founque
buum, assisin quod
quod si ettam 20 fit et 21 sit 0, hic ruisus destruentur teri  in quibus est 21. 21
... 24. 14 G vsupra
 14. 24, 10. 22. 13. 24t
Et fretio2l in-
-824+4C ut
+.... . supra
 10. 2I in +11. 24. 10. 32, 13. 24
.. . . . . . . . . 23. 14
Totum autem, elsi con-
fineret ubique 21. non
desmitur ideo statim
nam seri la nisi a pequeat
Ex egqu 1 et 2 fit 3 pt 4. vel ex aeqgu. 3 et 4 sit 5 e 6, A ita poro tota in aequationem non posse
an dule aequationes novae finu ex et
libus prox. mae praecedeatibus in codeutati Orvidi per 10. 21
aum omnes terminos aequationis
etsiinfimns terminus aequationis 2dae exprioribus
t pos
jlatur  ducaitur in omnes termitros aequationis demto ull exprioribus
aequationis 2 demto primo(
aequatio u ultera posteriorum
igi) gradus  quarti, tentii secundi.  se in gradu, 6to.
quinto, quarto, tee, etc; coincident; nisi quod u in da
degatio emsde  Erumei G
terminus gradus proxame praecedentis. Aequationes ejusdem numeri
impent paris gaddm diversorum v.g.  sextisquiali quarti entii etc. coincidunt
nisi quod Gradas inferior caret ulsimo termino proximae: praecedentis et quod
ultimum pra ultimo coefficientiae aequationis datae gradit praecedentos, aequatio
in grada prosime inferiore, hatet untimum grdu coefficientem aequationis
gradus sud se habent antiorsum aad s ita se habent relporsum quoad a,
dicesi
ts
t resotm
liqua certa rex, si nota simistaae prtatur mntatis depti