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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 41, page id 85138403X:0057
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DF CTCLOTDE.
licer divisa:) ipsaeque rectae Z V A9. 50. hoc est 2L. fg, 8. sive
arcuS Z C, hoc est arcus chordarum in Temicirculo (vel linuum in
quadrance) arichmerice provorrionalium, ut rectae VZ crilinei
BC cA∞. 7. (NTam sicuE FeCta . Z Hg. 7. hoc eltrecta L ZH∞. 8.
aquaEuT arcUI Z C, SiC recta Z V Ag. 7. Gua una CuM Z. Z COm-
pleE EOTaM V Z BB, hoc es b C arcum quadrancalem, aequa-
cur arcui ad quadeantem rehduo Z. B, cujus linus rectus est YB
B V Ag. 7. adeoque omnes V Z crilineum BC cAg. 7. COm-
plences, aequalibus distantiis sumpex, sune uc aecus sinuum arich.
metice proporcionalium in quadeante, sive chordarum aequalirer
crelcentium in semicirculo; hoc ett, uc Z. Z Hg. 8. corresponden-
tes punctis Z aequalibus incervallis in curva C A sumpEIS:) FruHE
omnes VZ crilinei CZ A F A9, 10. dd F A coties POLItaM, hOC
est rilineum illud ad circumscripcum parallelogrammum; ut eri-
lineum BC cEg. 7. ad paralleloorammum circumseriptum sibi
(FC illius partes parribus hujus respectire sumpris proporciona-
les.)
20. Triliniei aurem BC cHg. 7. (auc etiam partis hujus cu-
jusibet) mensura, habetur ex calculo 523. Est enim Bb = Z P
E bC= R; ergo parallelogrammum BbC c= = R P: erili-
neum autem B C B  RE (uT 5 76 dictum elt,) ergocrilineum
reliquum BCC= Z R P = R 2 = ZD P i 2  3. (HIOC eA
a A F un ZC F inC F.) Unde X crilinei C F A mentura colli-
BICUE; Quippe ipsiuS OcTuPIa, (PTOPTEF A F = Z P, E R C  2D
4R, adeoque paraIlelOBTAMUM F C. L 2 RP,) nempe
2 R P in 8 R = vel D F  2 D2. (EE parcium Cimilicer men
Fura, mucaris mucandis, eodem modo collioieur.) Momenrum
IEaQVE CUTVX C Z A A9. 8. respectu rectae C F, quancum ad di-
Ptantias Z 2, esec ad ejuldem curvae momentum in distancia F A
Tuspensx; ve CZ A F Ag. 20. ad circum scriprum parallelozram-
mum; hoc est, uE D P i 2 D 2 ad D P, CIVe UE P  2 D 2d
P; hoc est, uE A F  C F ad A F.
LF. TuM verO, quaneum ad dictantiaS Z Y Ag, 8. (quX CIrUI
cum Z 2 complent inteoras Z Y,) hoc ett, Zu (bilinei A C v)
A3. 20. Cum rectae C Z Fg, 2O. hoc esCurVa C Z FB. 8. FINE
ue chordae C 2= a: erunt respectivae 2Y: ( Z. v H9, 1D.)
V: D2 
Nam (Propter similia criansula) uE C F = D,
2
Fi8. 10.