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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
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EL. II. LDCLIOTS. Cap. XXIII
C2. Si recta (Z.) Secetur in sesmenta aequalia (5, S,) e imaequalia (A, F.
vel 5= V, S- V,) rectanculum seementis totius inaquandas complenen am
(A F,) una cum quadrato rectae intet pancta sectionum (V :) aequatur quas
a
=E, (adcogle A - - S = V =S = L.) LNIE AL. F 9 = 59. Vel (in nu-
meris) (172 = 6 +6 = 8 + 4; adeoque 8 - 6 = 2 = 6 -- 4. Erit 8X 4 + 2 X 2
56X6.
arato dimidiae. (S9.) HlOc Cst, Si Z = 2S = A F F, sicque S L V
= AF. -
(C2 S recta (2F.) Bifariam secetur; eique adjiciatur in directum recta quae-
dam (X:) Rectansulum quod rota cum adjecta (2. F. + X quae dicatur Z.) es ipsa
aject X.) comprehenditur (T. X;) simul cum qudatalo dimidia (L 9:) aeque
 (A4) quadrato compositae ex dimidia e adjecta; (F. f R, quae allatuF A.
numeris) 113 F 3F 4 = 20, e 3 F 4 = 7: CritXOX4 + 3x3 =7x7.
Hoc est, si F F F + Z = 7, _ P f X = A: erit Z, X f F. 9 = A9. Vet Cin
 L.4.
10- -6 F 4
Ex + X9 -K9 L 2EN F 29 -29
F 4 -
12 + 76
1t
40 -+ 9 = 9. f 2.4 + 16 = 9 7 24. + 16 =40
Sed et haec cum praecedento sic conjunctim esterri porest. Si ab assienato in ea-
dem recta (uteunque continuata) punctoM, jumantur tum aequales utrinque re-
Eta NL, MN, ium punctum D ubivis: rectaneulum L. DV aequabitur differen-
tiae quadratorum rectarum AD, MIL. VeLND, M N. Ouod Sic ostenditur.
ML =M N dicatur S; M D dicatur V. Duarum isituT D L, DN, Cubicun.
que Tumatur D) alcera exit S F V (Cumma duarum S, V,) altera 5 e V) ditte.
renria duarum 5, V, ) uc letemacis inspectu patet. Ideoque
L N N
t