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# Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1)
# Folio 205, page id 826603459:0251
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CAP. 23.
203
6C2. Si recta (2F) bifariam secetur; eique adjieiatur in directum
recta quaedam (Z: Recraneulum quod tota cum adjecra (2P. + X
quae dicacur Z) e ipsa adjecia (X) comprehenditur (Z X;) simul
cum quadraro dimidiae (F. 9:) aequatur (A9) quadrato compositae ex di-
midia ex adjectas (P + X, qux dicatur A.) HOCCR, BI F F P. +.
iX = Z, _E tX = A: CrICZXFEq = A9. Vet (in numeris)
E 3+ 3 + 4 = 10, _ 3+ 4 = 7: eric 10X 4 4 3x3 =717.
Euclidis, Lecturario.
a +C9 = 191+La F1G=
AL
X
Eg F 2F X + 29 = A0
FE
2 4. 16 X
= 9 + 24 + 16 -- 49
Sed _ haec cum praecedente sic conjunctim efferri porcst. Si
ab assienato in eadem recta (vicunqe continnata) puncto M, sumanur ium
aeguales urinq recta NL, M N, ium punctum D ubivis: rectaneulum
L. DN aegnabitur differentiae quadratorum rectarum WD, N L vel
ND, MN. Ouod Sc oAendicur.
ML = M N dicacuE S; MD dicatur V. Duarum igitUTDI.
DN, (ubicunqi lumacur D) alcera erie S F V (Cum ma duarum
S, V,) alceraS a. V (difterencia duarum S, V,) uc ex schema-
eis inspectu pacet. 1dc09;
LMN