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

Table of contents

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[281.] L. SECTIO XI.
[282.] M. SECTIO XII.
[283.] N. SECTIO XIII.
[284.] THEOREMA XXXV. PROPOS. XXXV.
[285.] SCHOLIV M.
[286.] THEOREMA XXXVI. PROPOS. XXXVI.
[287.] THEOREMA XXXVII. PROPOS. XXXVII.
[288.] COROLLARIVM.
[289.] THEOREMA XXXVIII. PROPOS. XXXVIII.
[290.] SCHOLIVM.
[291.] THEOREMA XXXIX. PROPOS. XXXIX:
[292.] THEOREMA XL. PROPOS. XL.
[293.] COROLLARIVM.
[294.] THEOREMA XLI. PROPOS. XLI.
[295.] THEOREMA XLII. PROPOS. XLII.
[296.] COROLLARIVM.
[297.] SCHOLIVM.
[298.] Finis Secundi Libri.
[299.] CAVALERII LIBER TERTIVS. In quo de circulo, & Ellipſi, ac ſolidis ab eiſdem genitis, traditur doctrina.
[300.] THEOREMA I. PROPOS. I.
[301.] COROLLARIVM.
[302.] THEOREMA II. PROPOS. II.
[303.] THEOREMA III. PROPOS. III.
[304.] THEOREMA IV. PROPOS. IV.
[305.] THEOREMA V. PROPOS. V.
[306.] COROLLARIV M.
[307.] THEOREMA VI. PROPOS. VI.
[308.] COROLLARIVM.
[309.] THEOREMA VII. PROPOS. VII.
[310.] PROBLEMA I PROPOS. VIII.
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page |< < (276) of 569 > >|
296276GEOMETRIÆ reuoluatur, Δ V, circa manentem axim, RV, cylindrus igitur geni-
190[Figure 190] tus ex reuolutione,
Δ V, adſolidum ge-
nitum ex reuolutio-
ne portionis, RF
V, habebit ſupradi-
ctam rationem;
hoc
autem ſolidumiam
vocauimus:
Malum
citrium, ſi, RFV,
ſit portio circuli, ce-
terum, ſi ſit portio
ellipſis, vocetur;
O-
liua genita ex tali
portione;
eadem au-
tem rationem habe-
re ſolida ſimilaria genita ex, Δ V, &
portione, RFV, (intellige ſem-
pergenita iuxta regulam ibi aſſumptam, ſcilicet iuxta regulam, FM,)
iam ſuperius diximus.
COROLLARIVM XXIII.
IN Propof.
191[Figure 191] 26. peiſdẽ
antecedẽtis fi-
guris colligi-
tur ſolidu ſi-
milare genitũ
iuxta regulã,
FM, ad ſibi
ſimilare geni-
tum iuxta re-
gulam, RV,
eſſe vt paral-
lelepiped.
ſub
baſi rectãgu-
lo, qđ dicitur
reſiduum an-
reced.
Theor.
altitudine tri-
pla, MH, ad
parallelepipedum ſub baſi rectangulo ipſius, FM, ductæ in, RV, al-
titudine linea compoſita ex, MH, HN.
Pronoſtro exemplo

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