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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2)
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DE SECTLONIBAS Cap. IV.
3. Sed (per 57 cap. Praeced.
qA = AC
RC
V: 4Rg - A9: = D. Adeoque
I6RCCA9 - 20R99 A99. = BR9 ACC = Aceq = D9. Hinc si auteratur A 4; fic
25A9- 20499
RG
3RGA = AC
R9
UE prius.
RCC
BACC
Accq
R99 RCC
=D9 = A9 = C F. Acque hoc divitum per
exhriber s. R99A - 5 RGAC + ACq - F - SRGgE. -5 RIEC. f F c4
R94
R42
24. Idem cercio modo sic clicietur. In-
scripeo Ouadrilarero, cujus Oppolica latera
LInE A, C, _ A, F; _ DiaGonalcSB, D. Adco.
que AC F AV =BD: EEBD = AC = AF.
Ac Similicer, bd - cF. = F. F. Hoc elt,
25. Rectanculum subtensarum arcuum Du-
Pli  duadrupli: Dempto Rectanculo subten-
sarum Simpli (quintante minoris)  Priphi:
Niquatur Rectaneulo subrensarum Simpli es
Duintupli. E.c per ucramris dirisum, extribee
reliquam.
26. ErcO, A. B:: D: C F F. ELF. b:: D.
c Y F. HlocClt
27. Ve subtensa Simpli areus (quiniante mi-
noris,) ad sibiensam Dapu. Sic est subtensa Quadrupli, ad Mereeatum subtensa
rum dimph  Lacupl.
22919 - A92 ia gR29 - A9.
R94
2R9A- AC
R99
RC
AC
R4
adleoque A C - 3RGA9 = A 49 - 3RG9Aq = RGA44. EYBOBD - AC=
RC
R99
SRg4AG- 5RgA94 F ACB = AF. P, 5R99A - 5 RgAC + A C9-
R99
F - 5R4gF - 5RgF C + P. C Q ut prius.
R94
R44
29. Vet hie compunemus Duoniam A C. + AP = BD - B(99 A9 - 029 499 + AcC
R94
ut prius. ErGO BD BR99A - sRgAC t AC9 = C + F. Ielcoque (lubelucto C. =
R9
R94
Rg9A - , RGACt Aeq = p. - sRGGHE-sRqPCF FCL, neprius.
R49
R99
20. Idem, quarta vice sc elicietur. Inferip.
eo Ouadeilatero cujus opposita Lacera (nc B,
F, e B, A: e Diagonales C, D. Adeoque
BA + BF =CD: EtCD =BA =BF. (LL
CD=BC
similiter CD = bF. = BF. ) FL B
Hloc est
2T. Rectaneulum subtensarum areuum Tri-
pli e duadrupti, Dempro Rectangulo subtensa-
rum Dupli e Simpli (quintante minoris:
Sequatur Rectaneulo subtensarum Duxii e3
Duincupli. Ec per ucramris diritum, extribet
reliquam.
AC
XdVTI
22. Et propierea, B. C:: D. A F F. FLV. C:: B. B F P. HOC est,
23. 61
1
48
que
a