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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)
# Folio 600, page id 851708439:0624
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600
DE SECTIOHTBUS Cap. XI.
Terrium hoc est. Sit DG Byperbola; A E parallela ipsi BHL P ACympToIX: 7
Invenire punctum E, ex loncitudinem ipsius FF, (cencrum scilicet et radium
circuliper L  Uae u at LH sit ad  ut 2 ad L.
Dico. Si (in AGMPTOTa BC, uccunque producta) sumpto ubivis puncto K,
Tumacur ipsi B R aquat L, e ducantur KF HIC (parallela alteri AIsiplo-
ex BA) syperbola occurrences in I C; es jungatur IE recta: Ouxe hujus
puncto medio insiltit perpendicularis, secabit rectam A F. in puncto F. Junclaque
E F, habetur recta quae sica. Demonstratio Facilior est quam ut de BCal aPPOnL.
Videatur, ex adseripio Schemate, solam spectari rectam A F. quae interipro ua-
drato ABCD adjacet. Sed constructio mea pariter procedit ubicunque in A.
sympeota BA, Sumatur punctum A.
Secundum est paulo adhuc abstrutius; (quod itaque in postremum locum lC.
jeci.) Si ucique se habet. Sit AB (parabola) latus Terum. Laaraur B f scrreul
TadiuS) ita ut lareuS) B C. sit a gumes es CD Pae CHeltatl.)
Incelligantur demitti perpendiculares C C DFI; jungique BC BD rectae.
Ponantur aurem AB = h, BF = 1, BC = B, BD = C, BH = y, DH = d.
CC =a; adeoque (Timus dupli arens) d - = E Y: P - a: e d - 4 1 a = + a
Ponatur ilem BC = C; adeoque (prOpter BG, GC, GF, : :, hoc est c, a
Er = e
a = 2Ye= e; de B (= a + e) =2re. Ergo (quadratum Lub.
rensae dupli atcus) ~ = (4
B2
813C
41
=) 8r0 = 45.
liem (propter BF, BD, BHL :: , hoc C 21, L, y ::. ,y =
=
+e-
Tum (propier Parabolam) AC. AH.: C C9. DHg. Hoc est
15 (1+ -144e- : : (a. 4 -~’ a 44
LirsO
c
li
H
de
211
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