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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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Cap. CVI.
A E. G F B X A.
rum sumru Rurum ee Marsariras pretiosum, Frudito Orbi jam ante dederis, pluIIa
dacurus indies. Verum non estut sporem, me verbis aequare posse cua merita; qui
ex priraco penu sumprus plane Resios crogalti; onusque suscepisti non inteliciet,
Terculeis humeris (ne Aclanceis dicam) Formidandum.
Operis partem maximam jam crolvi; miratus inibi tantae molis Instrumento.
rum ingeniosum regimen; e subcilissimam Diritionum adminiltractorem; cum
pari dilisencia conjunctam in. Regulis et Dioperis Colicite curancls. Fc quidem
si hoc deesset reliquus in calsum cederet labor; quippe, exieuus et rix cricabilis
in Regulis auT Dioperis erroi, corum instrumentum riciares, omnelque inticeret
Obterraciones.
Sed singulis immorari non licet. Unum tamen est quod attingam breviter;
Nempe, Divisiones per lineas Diagonales, circulos in Limbo concentricos inter-
Sccances. Flanc Diridendi methodum, jamdiu receptam, ipse recines; ee quidem
merito; Circulolque hos concentricos, aequalibus interrallis disjunctos habes. Ouod
quamris in exiguorum, aut eriam mediverium, Instrumentorum Limbis latiori-
BuS, aliquid erroris possic inducere; in Puis tamen tantae amplicudinis Instru-
mentis, cum limbis exiguae lacicuidinis, (quod de tu recte mones,) nihil quic
quam exit discriminis quod in sentus incurrere postit.
Ilac tamen occasione libet hic subjicere quod ea de re jam olim (circa Annum
2650, auc 26SF,) medicacus tum; atque apud Adverlaria mea jam reperio.
Nempe; siquis vellet minoris Instrumenti Limibum latiorem lineis Diagonalibus
Ec diridere; quibus interrallis oporteat concentricos illos Circulos disponere, uc An-
gulos invicem aequales detixnarent illa circulorum cum rrantrersali incersectiones;
calculo Prisonometrico determinare.
Diritio Arcus in Fimbo Onadrantis (aliutre ejus.
modi Instrumenti) per Circulos Concentricos, de Re
etam Diaconalem.
Sit Lacmdo Limbi (RL =) L. Radtius cireu-
li incimi (AR =) R; extimi (AZ = AL =
C. = R = Z; continentes angulum (R AZ =) A;
dividendum in parres quorlibet aequales (quarum
MICrIIS n,) Rectis a, b, C, _cc. (quarum longitu-
do quaeritur,) Facientibus, ad RZ diagonalem,
AngulOS a, B, 7, ec. Adeoque RAa =  .
R 1 =  2 R AC =  , _C. SIIGNe ARL =O, e9
AZ. R = 
Daris ergo Cruribus R, Z, cum Angulo contento
A (adeoque reliquorum umma O FV,) inveni-
untur reliqui, (O obtusus, V acutus) Nam
Z. + R. Z. - R: : lan8; -  ~ rang; . -
FF=
t
Deinde; Cogniris Angulis O, d  A, (adeoque
religuo an) cum incerjecto Latere R; haberur L. a.
tus a. Nempe,
Sir; a.
R.. dim; O.
Eitus pari modo, ex cosi
y i
c.
Praxis.
52
Sit R = Z. Z = 0, 2. 2 = 1, 2. A = 10. L1BO O.  V = 17
89,55. LUI
Et
B1Z. + R = 2, 2. dd Z. = R = 0.