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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 62r, page id 00068073:0123
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105 a e b6.
absolul Majo 1679. dplinia Methodus Telingonsstica particularis.
Ergo a-m p l- b
A g b p m 3 7 apb Ism
C p n
Ergo
Sin
a argo l+  a
Si apb Aet Lm erit a bsm contra si al 7 bm erit a- b r l- m
bpa et mp L, fier mutalis signis b- a aego m-
sit a. a+ ta
Sint 4 Termini
Docsl differentim inter et l, et bn diffram inter b et in
Ergo a - b aego l+ al-mbm. Ergo si alpbm erit a - b p l-m
baeqo mabm
af. a + q7 u
a(+) 3+ 
ubi nota. si bsis pa. vel mpl rem
non ideo minus procedere
quia terminus negativus
est eo major qui
mole immor
ubi patet n bis exprimi, unde otitur aequatio: + da. (4) n aequ. ()A (( c
Hinc si + ago tret ((+) itiam aequ. +. seu si apb. et epm. et apil et bp n omnia
signa erunt + et fiet da + 1 aequ. + A + E. Ergo si da p erit pejab
sive si diffeientia inter a et b major quam diffecentia inter l et m erit
differentia inter a et  major quam differentia inter b et qM
et contra
a. b. d. m.
D)Theorema: sint quatuor quantitates a majus quam b et a majus quam l.
0 et b majus quam m, et l majus quam m.
(aminod
denique sit
 diffepentia inter a et l major quam differentia inter b et m
Cminor (minox
1 erit etiam differentia inter a et  major quam differentia int
et m
et contra
Et contra isdem positis; si differentia inter a et b major(minor
quam differentia inter l’et m, erit etiam differentia inter a et
minor
major quam differentia inter b et m
ponamus jam a fib. et arI. fiet aequatio generalis: da - p aqu. - A + C
bm
Ergo si da p en erit co pA
ia 1 M erit cd 17A
Item S - M aequ. E = da. Ergo si Ap p erit to p da
Ergo si differentia inter a et b. major differentia inter b et m.
eris differentia inter a et b minor differentia inter let m
Theorema:
sint quatuor quantibates a. b. C. m.  et sit a major b, et lmajor m
sed a minox quam l et b minor quam M et sit differentia inter
a et l minor differentia  major differentia inter b et M; erit
differentia inter a et b. mapor diff minor differentia inter l et m.
Ut rem omnem puncis verbis comprehendamue sic agendum erit:
sit ta b aequi  laata aequ. ab sit ab differentia inter a et b et
sit + ab ago a - b. et + ba rgo b a sit ab dis erentia inter a. et b
si a prajus quam b et sit ba diffecntia eadem si
sit ab differentia inter a ereb et sit  ab id quod remanet si ab de a subtrahas
et + ab quod remanet si de b. subtrahas a. Ideraque dicatur de caeteris
et et sint quatuor quantitates: a . BH fiet: + a. b. ln.
fier: 2+ ab + 4 + bm aequ. + AB + al + (3 + lm. Ex hac sola aequatione
infinita possunt condi theoremata, sed eliciantur harmoniciotera
2+ ab = 3 +lm aequ.   fal - 4 + bm.
Nota - 3+ significat + 3.)
terminie et n. ab. c. lmin. habebitu
pergamus nisu ad C et n. ut sint sex aequationes
nova aequatio: 1 + bc + 14, Cn aepo + 4+bm + 13 + mn. Habemus duas aequationes
in quarum utraque est a4bm. T has inunum addendo fit: 1ab Heca aequ 2 al + 3l
le a prins aepitu daes dues
2 ab - 3Im. ide ny vatimando e..
seu  seu 1a- 14cn aequ it bc - 13 mn extremorum residua detrat
2co =13n
quod summa lisictont miiuo super est illi aquabita
erii a samma resion
intermediorum allerius seriei subtracta superest quod facile