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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 11
# Folio 22r, page id 00068261:0043
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utem  dyadica ad diocsantea applicari posse
ita ut non sit opus additione dyadicem, et tamen conscrvetur commo
divas non ascendentium ad potentias incognitarum
duo
Ex. gi. quaeruntur  numeri,  ita ut ducrur quorum
summa quadratus, et summa quadralorum sit quadrato quadratus, sit
sint numeri a +bX + CXX + dX3, etc et la mX LNXX + pX eerC
ubi ponatur ex x esse 2, et ipsi a, b, etc; vel 1, m, etc non sint nisi 0, vel
sit ursus sed non assumatur radix quadraesi quaesiti, vel quadrato quadrati
quaesiti, eam ejus e nam si eorm earum radicum potentias vellemus coinciden
tiare summis illis, opus esset denire ad dyadicas additiones. Itaque
ejus loco extrahamus radices quadraticam, vel quadrato quadraticam exsummis
adhibendo Comonem. et assurgendo donec vel res succedat, vel appareat non
posse obtinem successum. Ex. gr. ex
a + bx + CXX + BX + etC
debet extrahi quadratus est et ex aa + 2abX + 2aCXX + 2a d X + 2a CX et
+ bb XX +2bc X3 + 2bd X et
+1.CCX esc
U + idmX+ ElpXrt 2l∞ X + 2lq X ex
mmX +2mnX 2mpX es
 Ex hit extra unobique eptrarendo radicem, inbebimus ex Canonem procedendum est donec
del oppareat successus, vel eju impossibilitas. Ita non aliae occurrunt
diffimulatur initro incognitae quam ictitio assumtae. 
Nota quilibet assuntus cum altero assumatur aeque altus nam cum
alternter est minus altus ultimae notae sunt 0. Materea quadcatus
pona noni potest assurgere ad duplam altitudinem; etsi revera in
utrum
dyadicis assurgat ad amplios quia hae non curamus an coefficientes
prodeuntes sint notae dyadicae vel non
10+1X FM XX I 1BN + 1X 4X +. 6X
Y(10. 10) = 10
1044 10. 10XX + 1aX + 12 aa Y 10X +
2.10
=1onxX (2. 10X) (+ 1 a,  fiet 12= 11. 1
2.10
11. 11 ac
4. 10.10
41010
410. 10X+ 1 a x + n aaxX + 13 aX + 1t aa 7 10X + n ax +
(2. 10X) = W H aa xY
4. 10.10
2. 10 XX + 11. a)
=qu si 10. 12)
2.10
L fint M = q
8. 10
=4. 10. 12
+ 1.
4. 10. 10. 12- 11 laa
8. 10. 10
4. 10. 12 = 11. n
54. 101C
4. 15. 1 _-n. 11
8. 10