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# Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmark Leibn. Marg. 103)
# Folio 106, page id 85138403X:0122
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Curvarum FoBovoIE,
ee circum scriptione ad morem veterum, Fulius tradi posse, non
Opus estrr egotemoneam; qui probe noris quam Facile hujul-
mosi demonstrationes concracte, ad operotas illas vererum re-
duci Folsime, modo quis id canci esse DULAVCTIT. AEque hactenus
de Spirali Archimedea.
Incelligamus jam alius generis spiralem describi; in qua, verbi
oraciu, cadiorum incremenra C A non linc aequalia, led eadem
Pacione continue creleant qua crelcun arcus SC, vel M S radit.
Id aurem Aiet si incelligamus, vel, monence circumductae rectae
MA mocuxquabili, punctum lineans roveri ab M ad A moru X-
qualiter acceleraro; vel, matenre puncti linemtis ab M adR mmOtu
aquabili, rectam M A circumduci mocu aquabilicer recardato,
nempe uc quo lonsius a medio recesseric punctum lineans eo car-
dius circumteratur recta; (unde consequerur puncti lineantis, in
ipla curra descripta, motus aequabilis, vel xque velor.)
Resic constructa, minifelam est, cum omnia limilium secto.
cum criangula S  C incer se esse similia, eum omnia SV A,
vel SC. A, criangula rectilinea vel miltilinea, eum Omnia SM A
item incer se similia. Unde e ansulus ad A, (quem vel S A
curra, vel ejuidem tubrensa S A, vel CTLAM FAHOCNS, CUI M A
Eaciat,) cum quivis esse porelt (PrO rari: MOtuum inter se ratione)
cum ubique idem crit.
FEUNE aurem Omnes S A rectae, hoc est (in parcibus exiguis)
omnes SA curra ad omnes A V, hoc eli (in parcitui exixuis) 2d
Ones AC, hoc est ad A M rectaM, UE AS ad AV; LrC uEIIy-
pochenula ad Balm Trianguli rectanguli, angulum habencis ad
balin, angulo a aequalem; illi nempe, quem curvae Tangens cum
Radiis constievit.
Construetur aucem hujusmodi spiralis; si sumpris, (uc in fis.
34,) rectis M A, MF, M2, M3, 5c. continue proportionalibus,
radiis hisce describancur coridem sectores limiles, eisque circum-
EcribatuE A L 2 3 (VC CUrVa.
Si taE aUTeM, UC A9. 35, Cuper 2quali MA bali, crianoulum re
ctangului M AS, angulum A a quale habenS: FPUNE CUIEVE AL, T2,
2 3, ∞c, in spirali, rectis A L, T2, 2 3, 00, in crianguli hypore-
nula, Cinoutae lingulis respectire equales, e omnes omnibus: Adeo-
Gue A X 2 28c curVa, rectae AS aequalis. Spatia verocrilinea Spi-
eali adjacentia AM Z, LM 2, 2 M 3, 86, TraperiOrum in ErI-
argul
Spirali
alia
218. 33
118. 34,35.