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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 102r, page id 00068194:0203
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Numeri Formarum
. in Gradu primo a. numero 1
in Gradu secundo a. ab. Num. 2. 1
in Gradu 3tio a ab abc Num. 3. 2. 1
3 -2.
in Gradu 4to at ab abi abc abcd Num _ 5. 4. 3. 1
in Gradu 8
a ab ab abc abid obcd el b. 5. A4. 3.1
in Gradu 6to a ab ab abc abc abcd: abc abd abide abcdes
9. 8.
7 63
Ut Numer: isti formarum certa Methodo investigentur, consideranda
discerptiones ut 3 componitur ex 2+1 et ex 1+ 1 + 1
6 componitur x 5+1 4+2 3+3 = 6: 2
C 4+It 3+2+1 2+2+2 = 6: 2
3+1+1+1 2+2+1+1
2 + 1+ 1+ 1+ 1
a
Non potest discerpi ultra sit 1 = 1. Uniscerptio una
 1 + 1
Una literm dat terminessas, unum duae dant duas
uniscerptio 1. Biscerptreles
una
2+1 triti una uniscerpto du 2scerpto 1 tusceratio 1. = 3
3+1. 2+2) 2+1+1) 1+ 1+ 1+ 1) Isc. 1. 2sc2. 3sc. 1 4sc. 1 - 4
4+ 3+2 1 3+P+1_ 2+2+14) 211+ 1+1)1+1+141+1
C fre unisc 1. bisc. 2 trisc. 2. quadrisc. 1 quinisc. 1 summ. 7
Generaliter ut rem investigemus. sit literNume gradus exponens a
 Unisc semper 1. hisc est a2 vel a: 2 vel a - 1: 2
prout alteruter est integer. sit X = a: 2 et X = a - 1: 2. fet
XX aZX + aa: 4 seu 2 4XX 4aX + aa. seu
13
a. 4 V
+2 x - a
 XX - a X + aa: 4 = +aa: 4 - ac: 4 = 1: 4
+1 ta: 4 - a: 4 + a: 4
4 1;
+ 1. 4
Et X = 1: 14 +a= 1:4 seu X = a: 2 + 1: 16 - 1: 4
si ergo a sit numerus gradus erit numerus bisceptionum a: 2+ 1: Ab- 1:4
ec scilicet, qui succedit in integris. Etium principium investi–
gandi fuit, quod Biscersitiones fiunt ex a imiscerpton. a - 1
+ uniscerpl. a = F, + unisc. a+ a- 3 erc donec a consumatur
similiter ergo Triscerptiones sunt lerisc a - 2 + bi sc a - 3 et.
ergo tresc. est a- 2. 2 + 1. 14 1. 4 + a- 3. 2 + 1: sq- 1: 4 
a412 + 1. Y4 14. etC. seu trisc = a: 2 + a: 2 + a: 2 etC
C 113 14 etC32 +1.54 +1V4 +81: 4 esc = r. 4 - 1: 4 - 1. + et
in est trisc = a: 2 mattipl. per quaeritur quandi continuandum? dico tamdiu donec cumnu
ab a sub trahendus, seu ellius viscerptione opus est cum limitatione tamen. sit, v. g0. a-b
non possunt omnes viscerptiones de a 2 adhiberi, quia eae tantum ac aberi possunt
in quibus maxima pars biscerationis ipsius a-2 seu 4 non sit major quam 2, sic, adribere
 uemma rec tar
102
protiteris
gna
1