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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 5
# Folio 44v, page id 00068207:0086
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tab ais de justitia analytica gedacht, ist Zueors ncht abau de necessitate, viber
viellaicst ad melius etse, nera mon wedet, dienlics. diesa dathnon jastit n
Griche in etebab zu eaclares, so verstehe solche: Weu glaihnera in der puttit
gupnn manphe, caine acceptio pensonarum, alro sinae die litera oue glausan
euis tractiret werden, V. Zue vin Zu Zrite, ohne interscheid, Zu haiten, etliche
mit ihres glaiche, V. omdere weidere mit ihres glaice. Restetamut tres aequatio-
nes ea tuis, quibus justitiae quiddam metse notaveram:
3 (a ef + bhL) 2C11
2, aff +bKL, 2acf + ael + 2b9 L + bhh.
3 (aec tbhg) Z C2)
2, acc + byg, 2acf + ael + 2bg K + bhh.
(2)
0
aes ibha, aec +bhg = 4, aff+bKN, acc + bgg.
ut
(13
2
m aequ. 3. habent sese a, ef; ut b, h, C, respective
X
eolo
a,e, c; ut b, k, g.
fik; ut c, g.
) m aequ. 1. singulitim sumta, vel in aequ. 2. singulatim sumta habent locu
tam habitado articuli 1. quam articuli 2, sed non articuli 3.
5.) itaque aegg. 1. vel 2. non sunt perfecte justitinriae, quia non eodem modo
tractant f.k; ut c, g.
6. 1) sed aequ. 3. est perfecte justitiaria, quia siunc defectum supplit, cum
po, calculus integer ostendat Y, X; C, q; debere pari jure uti
agg. 1. et 2 simul sumtae etiam sunt pfecte jartitiaria, ut ipte calculus
inteer; vel ut aequ. 3. quae calculo integro jartitia non cedit.
810
Et si nova aequatio ea iptis 1. et 2. inter se eodem modo conjunitis frat,
ea erit etiam perfecte jartitiaria.
Rocsdem, ic o dergestalt nus mit meditire, so wait darin eingelaste, fo habe Wer-
ruhe, Wolle, bbsich unu ein vor allemas donion erlosen konte, welches ouch andhih
voch mihl one nurse V. Zeit, Algend masten amgorns. Compendus cauta seritam
ono)
330 =26,27 42R, et (2) 3DD= 28, 2 + Eh, et (3+io) OD=
4,6F; ubr patet quid O, D, S, E, sed per 2 intelligo aee+ bhh; et per
Tintelligo acf. + bgR. Port muttas autem ambages reperi tandem (qt) fg = ek
seu X. fg: C, qua explicatione iptius K satisfit aequationi 1. ut haberi possit pro
expedita; eo ipso enim reducit, ad aequavem 2. Rertant ergo solventae agg. 2. et 3.
s
Ob 4 fit (5+) O = Df: C, et (6) 6 = 4f: Cc; hinc sublatis, O et 6 exaeg. 3.
b
u
10)
fit (7. m) D = 24ff: C. Peursas per 4 sublato K ex valore iprius Z. fit (8.
e
Ef: C. Ergo ex equ. 2. et (gn) 3DD = 28, 2 +28f: C; unde per aeg. 7.
lo
moi
tollendo D, et explicando 27, fiet (10.) 4Ef: c = nee +bgh; sed ex aequ. 7. pro
mo
W0. et 11. calculo valgari et facili nec ultra planum atsurgente, habentur e eth
per a et b datas, et iptas C, f, g, R, (quae etiam latent et parte in 4) pro artitiio
attumendas, modo fiat X: f = g: C, seu fg = Cx. Et hoc modo tritas aequationibus
propositis et satisfactam.