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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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lE G F B R A. Cap. XXIX.
Distinguantur in peripheria septem equales partes, ab O fine diametri, lite.
ris ABC DF P C. Dueantur Tubcen(x, sicut tu in Schemate. Sumatur (in
OZ R MI diamCtTO) MX =MB. Ducantur etiam AX et XB recta, ex dia-
meteF NYR A. FF ad OE. perpendicularis CiF; es ad OE perpendicularis P. R.
Ouoniam AB = AX Curpore qua sunt criangulorum similium es aequalium
AMB, AMX, homolosa lacera:) erunt criansula BMX, OR A, O AX, FI.
OA9
milia. Fdeoque -- =OX. Sunt etiam triansula O AB, A RM, Timilia. FE
Rad.
per 47 CF, NIA = V 9: 4 Ract g - O A9.
FS sic praemissIS; erit R A. M A (HOC cst, Ract. V 9: 4 Rad 9 - O A4)::
4.Rad 4X O A9 = OA494
OA. OB. ErgO
Rad. 9
=OBg9. Ouxe est anguli Duplica-
1in. (Hoc est; dato Radio, de O A subcensa arcus simpli, inrenire O B Subtentam arcus
dupli.)
Et 4 Rad. guO Ag =O Agq = Rgd qr OB9. Ouxe est anguli Bisectio.
(Hoc est; daco Radio, et OB subcensa arcus dupli, inrenire O A lubtensam lim-
eli; retolrendo hanc aequationem.)
Dcinde; quia OS =O A, d SA = OX, _t NS =MZ =MB. ErSO, Per
ASZSA
35C3,-
ve
OAq OAg
05 = SC. Hoc est, 2 Rad - - , in - -, divisa per OA,
2. Ract gXOA =O AC
Rac 9
3Rad gXO A =OAC
Radg.
Rad. Rac.
=SC. Et, E addatur (O5 =) O A, Fer
=OC. Oux est anguli Fripticario.
Ex ZRad gXO A -O AC = Rad grOC. Oua est anguli Trisectio.
Tre; quid 2F Y F CB =OF. EF (MO. MB:: OC. OT. HOC est,) 2. Rad.
2 Rad-
OAG 3Radq R OA OAC 6Rad g9XOA = S Rad gXOAC F OAgC
::-
Rad. Rad g
2 Rad 94
sRad g9XOA =SRad g XOAC F OAgC
=OT. F cujus duplo S collatur DA; restabit,
=OF. Oux est anguli duintuplatio.
Rad99
Et OA9C = 5Ract qXO AC F 5 Rad 49XO A = Rad ggXOF. Oux est
ansuli duinguisectio.
Atque