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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 203, page id 826603459:0249
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1
L. AP. 23.
Flementi secundi Fuclidiso Declaratio.
B = N L N 47. O
10- 8 + 3. F2
EB =RMLRN+RO 40 = 20+ 12+8
2C2. Si recta linea L) secetur nicunque (in A_ F,) rectanou-
la quae tota et urroq seemenio comprehenduntur (ZR +ZF.) aequanur
quadrato rolius, (L9.) HOC CA, AL =- A + F, cAZ9 = Z A +ZP.
Vel AcOra ACS, lesmenta 3, 2: erit 5XS = 5X3+5X2-
e a
2.03
3C2.  (L) secetur ureunque (In A, P,) Rectaneuum 101a
et uno scementorum comprehensum (ZA,) aequatur rectaneulo seemen-
sis comprehenso (A E) una cum praedicti seementi quadrato CA9.)
HOc eH, Si Z = A FB; ericZA = AEY A9: vel (in nume.
ris  5 = 3+ 2, CrIL5 X 3 = 373 + 2+3.
l L
aqLa
3
l 2
4C2. Si recta (Z) secetur vIcunq C IN A, F:) Guadratum 10.
Dius (Z4) aequale est quadraris seementorum (AG F Rq) una cum
rectaneuto seementis comprehenso, bis sumpio, (2 AF.) HOC cA, S
2 = A + L; cA Z9 = A9F E9F 2AE. vel (in numeris)
AG = 3T2. eriF 5X5 = 3X3 +2X2 + 342+ 3f2,
t