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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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Cdp. IV.
DFCLLOAFBIS
253. Tamque haec tora Caluum varietas, et
Consequentuum inde deductorum, (a 5 83.
huc ulque,) oritur d Prima Constructione SI,
aliisque huic Analogis: Vhi Sex rectae (qua-
tuOr Lacera, duasque Diagonales, inseripei Oua
drilateri constiuences,) lunc F, A; B, B; C, C
Ex quibus, nonnunquam C, C, Tunt Diago-
nales; e B, B, oppolica Lacera: Nonnun
quam C, C, Tunc Oppolita Latera; e B, B,
Diagonales; PrOut C, auc B, major esse con.
TiBerIE.
254. Sed pari methodo, parum mutara, ea-
dem pleraque inferamus, (similiaque inde Con-
sequencia, auc iIlIS Analosa, cum simili Ca-
Tuum divertitare,) d Sccunda Constructione,
59. Obi sex Recta, Ouacrilaterum relpicien.
tC5, Tunc P, C; A, A; D, D. Ex quibuS, nOn
nunguam D, D, fune Diagonales; e A, A,
oxpolica Latera: Nonnunquam D, D, OppoTIa
Lacera; _ A, A, (auc qua hrarum vicem lup
Plenc) Diasonales; Prouc D, auc A, (leu qu
hrujus ricem lupplene E, L M, _,) est ma-
1Or.
25S. EE (consonanter ad haec) Propositio.
nes illa in 5 10 et 12, Polunt sic Genera-
lius tradti: Nimirum,
256. Differentia Duadratorum Subtensarum
arcuum duadrupli e Simpli: Aiquatur Re-
crara ulo Subtensarum FripH e Suncuphi. Ec per utramvis Divila, extribet Reli-
quam. Tiem,
257. Ot Subtensa areus Fripa, ad Summam subtensarum Quadrupti e Sim-
 da curum etente nu Dubtensam Duintuph.
258. Simuluer, d Ferria Constructione 514.
Obi Sex illae Rectae Lime P, A; C, A; B, D.
Ouodque de his tradicur 5 15, 27, de Areu
Ouincance minore; lic univerlalius cradtatur,
259. Differentia Rectaneulorum Subten(a-
rum arcuum Dupli ex Duadruph; atque Sub-
tensarum Simphi es Tripli: Squatur Rect
ansulo Subtensarum Simpli e Duintupli. Et
Der ucramvis Dirila, extribet RClquaM. Ft,
160. Ot Subcensa arcus simpli, ad subten-
sam Dupti: sic est subcensa duadrupti, ad
Summam vel Ditferentiam subtensarum Tri-
pli e duincupli: prout conticerit B, D, Diaco-
nales esse vel opposita Latera.
26T. Sumilirer d Ouarca Constructione, 520.
Vb1 Sex illae Rectae, lanc P, B; A, B; C, D
Ouodque de illis cradicur 522, 23; lic Oni.
verlalius cradatur;
262. Difserencia Rectaneulorum Subtensa-
rum arcuum Tripli e duadruph; atque sub
tensarum Simpli e Dupli: Sequatur Rect.
aneulo Subtensarum Dupli e duincupli. Ft
Der ucramvis Dirita, extibet ReliquaM. FL
263. Ot Subtensa arcus Dupii ad subten-
Jam Tripu: Sic subtensa duacrupli ad Sum-
mam vel Differentiam subcensarum Simpl e
duntupti: prout C, D, sunt Diagonales vel
onvosita Latera.
264. F. t
Ded