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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5
# Folio 105v, page id 00068255:0210
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be 67 7; Mirim. = 163 3,7 - 3. 2 -6
1b C 5,. 15 mn est mimimum septenarius dyadice scriptus, qui finit
per eo pro eadem columna naturalium, et diferentia 
1b2 - 1, : T. mirsim. = 16. 4 -1, : 7 = 63: 7 = 9 et 2 = 4. Es series 7pari
1bC - 2, : 7; minim. = 16. 1 -27 : 7 = 14:7 = 2 C = 1
1be = 3: 7 minim - 168. 3, : 7 = 17 : 7 = 1 C=5
16. 2. - 4, : 7 = 28:7 = 4 e = 2
1b. 6 - 5, :7 = 91 : 7 = 13 e- 6
168-47:7, minim =
168-6, : 7) miniiu 16.3-6,: 7 = 42: 7 = 6 3 Est series soptenatiorum
16 16:7 = 2 + 2. Erg
16C- 5, : , minim=
 16C = 2,:7 juleger quaeritur
2.7 -253117 Ergo
2e 2e-3,7 integer, quaeritur e sit e= 7 f, sit
x 2f + 3,7 integer minor quam 2. Ergo f = 2 (t e= 5
16e - h, 27 = 2e 4 2C-h.
2s+h
generaliter 16C = R,:7, est autem h datas minor quam 7
Ego 2 C, h, : 7 est integer. sit e = 7 -f, fiet 2.7 = 2f - h, :7 = 2-. Ergo
25 + h, .7 est integer miror quam 2, seu =1 itaque 25 +h = 7 minor quam ret2
et tam f quam h minor quam x est autem s datus.
demonstrandum foret quod semper res in integris succedat si e et h
sint quantimes quanum quae libet sit minorhivisore. cun resreducitur ad 2e - h,: 7
integum res est simplicior, et dirisor pro 2 ad hiberi posset numerus quivis minor
divisore, qui scilicet pt est residuus cum numerus progr. Jeom. du ilae
l
Sribumus ergo 2= h :7 est integer, ubi 2, e, 3, sunt et 
quam 2, et quaeritur e sit C= 7- f fiet 27 - 2f -R, : 7 = integro = 2 47
dividitur per 7
ergo 2f+ h debat esse dirisibilis per Z, ubi h est datus, itemque 2, quaeritur f
abendae d et fit 2f +h = X sid possumus contenti esse ipso E; et fut
re =R, : 7 = X et 2C= h = 7X. Exlibeamus ergo duplicem seriem unam 2C
cognitus
2X septenariorum.
hariorum (est autam 2 datus antionalis minor 7) alteram
ubi cum una series alteri comparari possit, terminus nempe primus primo: velidue
ex 3ty 3ho, vel primus secundo, tartius secundus 3tio, etc. vel primus 3tio, 2us quarto etc.
in tantavarabilitbiunes numeri dossibiles differentiae fieri possunt.
16L5,XY
IX YE 6
desaude
d