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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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SEcltodIBaS
RC
6A9. F
24
CaP. LY.
32. Idem sic alias inferetur. Si Circulo in-
Teribatur aequilaterum Pentasonum; cujus la-
LUS A reoutetur subcenta arcus Simpli: Mani-
Feltum elt subrentam Dupli ee subrensam Fripli,
eandem esse. Nam eadem Chorda quX, ex uno
latere, subcendit Duplo; subtendit, ex alio la-
cere, Triplo quincantis. Adeoque = V: 419-
A9: = B = C - 3RgA = AC HoC eA Y:
R9
4R9 - A9: - 3R9= 19. EL 4R9- 19-
DR49 -= 6K9A9 + A92 = ) 9R4 -
Rg; e Sic porro, ut supra, 528.
24
p44 = 0. Ideoque 5R 9 = 5 A4 -
L
Rg. ErGO SR4 - 5A9 +
4
33. Cumque sit (uc jam ostentum est) V: 4 R9 - Ag: - 3R9 A4 -, p 19
Hlac ereo Tubcenta eric Sesqui quincantis (seu rrium decimarum,) hoc est gractu.
um 108: upore, qui cum Duincante, complet Semi circumterentiam. Iloc ett.
34. Differentia quadratorum subtensarum Trientis e Duintantis, per Radium
divisa; squatur subtensae Sesqui quintantis, seu eraduum 108. Nam 3 R9 est
quadrarum subrentae Friencis; et A9, Ouincancis: et horum ditterentia 3 R4
A4 per radium R dirila, est illa Cubrenta. Vet sic;
35. Si ex Fripto Radii,s 3R; Subducatur Quadratum subtensae Duintantis divi-
sum per Radium: Prodibit subtensa Sesqui quintantis, seu graduum 208.
BR-
36. Scd Ouadratum subtentae Ouincantis sic diritum, est (ut Tupra, 530,)
V
=R; quod ex 3R lubeluctum, relinquit L ER; subrentaur Set.
qui quintantis, seu gractuum 208.
37. Jam s Secetur Radius in extrema ee media proportione (per TF F. L. 2.)
seementum majus eris VR; cui s addatur radius L R; habetur V 5  =R
Subrenta gractuum 20B ut priuS. FrBO,
38. Si Radii extrema e media proportione secti Seementum majus, lori radio
addatur; Aecrecarum aequabit subiensam eraduum 108.
39. POrrO: Si Pentagoni sic inscripri Latus A, Consideretur ut subcen la areuS
Simpli, eadem etiam erie subiensa Ouadrupli. Nam eadem Chorda, quae Cx una
Parte Tubcendis Uni Duintanci, subtendit, ex altera parte, Ouacuor Guincantibus.
40. Ergo, in hoc catu, A = D - 2 R9 A = AC
Y: 4 R9 = A 9. FC (mulcipli-
cando per RC mringue) RCA = 2R g A = AC, in V: 4 Rg - Aq. Hoc ett,
RC = 2Rg = Ag in V: 4 R9 - Ag. EC (Sumptis quadratis) RCC = 16RCC
=20Rg4A9 F 8R9A99 = ACc. HIOC CA, L5RCC = 20R99A9 F BR9199
ACC=
4F. Duod S haec ulcima A.quatio divicatur per 3 Rq - A 9 = 3. prodibie A.-
quatiosR49- 5R9A9 F A99 =0.
3l4