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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 15
# Folio 22v, page id 00068033:0044
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Centro C. vertice V. asymptotis aneulum rectum facientibus
sint tres ejus abscissa
Spogiessionis geometrica continue
ACBV.
CpBCAL potentia ejus
CA. C. L. C2t. C3t continue proportimales erunt et
ordinatae continue proportionales AV, iL .M, 2L2M
3L3M., itaque et differentrae oedinata abscissarum, quia
ordinatae in Hyperbora sunt abscissis recipioce proportionales
quorum autem recipioce proportionalia sunt
continue proportionalia ea sunt ipsamet continue
proportionalia. Porro cam abscissae sint di. Porro differen
tiae abscissarum continue proportionalium, sint ipsis absissis
poterminorum.
terminis proportionales, ergo sunt continue proportionales interse
Ergo abscissarum differentiae. Ait. A2L. A3L. sunt contiane pro
portionales abscissis; et ordinatarum differentiaeM. X
eodum modos
eM2N 3M 3 c sunt continue proportionales ordinatis
Ergo sunt abscisse didinatis recipioce prosvitionales. Ergo differentio
abscissarum sint sunt differentiis ordinatarum recipioce propor-
porro recipioce proportionatium rectangula sunt inter
Ergo rectangtum sub asprisa ni ordinatam differentia
abscisse in di seu quia AiL ad eC. item differentrae ordinatarum
jam rectangula
tionales.
se aequalia.
sunt ipsis abscissis recipioce proportioales.
sub recipioce proportiona libus sunt inter, se aequalia, seu ractangulum quia
abscissa it sive. Dit est ad abscissam CaL sive 2P2M ut differentia
ordinatu  oidinataria. 2 M2. V ad differentiam ordinatariam
Mict erunt rectangita 1P. M. N. 2P2M2N aequalia, eodemque modo
erunt etiam 2p2M2N, et 3P3M3N aqualia ac proinde ex eismodi
omnia  rectangulo sub abscissis et differentris ordinatariis respon-
dentibus, sunt aequalia inter se, posito absiissas esse propessionis Guome
tircae contrune. Si jam differentia ordinatarum sint in definite parvae
tiam differentia harum rectantuloruma aggregati horum rectam glom
ex
ut t n ND EPIM IN + 2PCM pEMIN + 3p2M3N seu
totfigurae scalaris aeV B3P3 Mir differentia a spatio Hyperbolica quadu
lineo V B3 P3M V erit vidfinite parva. Et ut ls figurae scalares.
habent
2 MiN
INB, P, N. N, item INBLP= MLN. M.N eatem .NB3D3 M - M2N. M . N. ete
differentias aequales, nempe rectanenta 2p2MZN. 2P2M. N, etc. ita et spatia aqsperbolius
a fignis scalaeribus indefinita parvitate differentia VB. P. MV. VB. P. MV. VC B3 Y et