Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota

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[221.] COROLLARIVM II.
[222.] LEMMA.
[223.] THE OREMA XX. PROPOS. XX.
[224.] COROLLARIVM.
[225.] THE OREMA XXI. PROPOS. XXI.
[226.] COROLLARIVM.
[227.] THE OREMA XXII. PROPOS. XXII.
[228.] A. COROLLARII SECTIO I.
[229.] B. SECTIO II.
[230.] C. SECTIO III.
[231.] D. SECTIO IV.
[232.] E. SECTIO V.
[233.] F. SECTIO VI.
[234.] THEOR EMA XXIII. PROPOS. XXIII.
[235.] A. COROLLARII SECTIO I.
[236.] B. SECTIO II.
[237.] C. SECTIO III.
[238.] D. SECTIO IV.
[239.] E. SECTIO V.
[240.] F. SECTIO VI.
[241.] G. SECTIO VII.
[242.] H. SECTIO VIII.
[243.] I. SECTIO IX.
[244.] K. SECTIO X.
[245.] L. SECTIO XI.
[246.] THEOREMA XXIV. PROPOS. XXIV.
[247.] COROLLARIVM.
[248.] THEOREMA XXV. PROPOS. XXV.
[249.] THE OREMA XXVI. PROPOS. XXVI.
[250.] COROLLARIVM I.
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page |< < (210) of 569 > >|
230210GEOMETRIÆ dictæ portionis ſuper omnia quadrata dicti trianguli, ad omnia qua-
drata
dicti trianguli, ſunt vt d@midia totius axis, vel diametri ad axim,
142[Figure 142] vel diametrum reliquæ portionis, opor-
tet
ergo, quod dicta ratio diuiſa ſit ma-
ior
ea, quam habet, FM, ad, MA, quæ
componendo
euadit ſexquialtera:
ſit er-
go
data ratio, quam habet, BH, ad, N
R
, maior ſexquialtera, &
abſcindatur,
HS
, æqualis ipſi, NR, &
fiat, vt, BS,
ad
, SH, ita, FM, ad, MO, &
ducatur
per
, O, ipſa, DE, ad axim, vel diame-
trum
, AM, ordinatim applicata, &
iun-
gantur
, DA, AE;
quoniam ergo, vt,
BS
, ad, SH, ita eſt, FM, ad, MO,
componendo
, BH, ad, HS, vel, NR,
crit
, vt, FM, MO, ad, MO, ſunt autem omnia quadrata portio-
nis
, DAE, (regula, DE,) ad omnia quadrata trianguli, DAE,
11@. Huius. vt, FM, MO, ad, MO, &
ideò ſunt ad ea in ratione data, in ea . ſ.
quam habet, BH, ad, NR, quod efficere opus erat.

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