 | John Ward (of Chester.) - 1734 - 478 sider
...402,1248 both the end Areas. The Sum = 2513,2800 is the Superficies of the whole Cylinder. THEOREM XIII. Every Cone is the Third Part of a Cylinder, having the fame Bafe with it, axd their Altitudes Equal. (10. e. 12.) . ; JDemotrorafwn* ...'-;,,.;, The Trutlí of this... | |
 | Euclid - 1751 - 420 sider
...third part of the altitude 1 1 . multiplied into the bafe. b 7. 12. F'ROP. X, Plate VI. JF/g-. 27. Every Cone is the third part of a cylinder having the fame lafe with it ABCD, and the altitude equal. If you deny it, then firft let fuch cylinder be more than... | |
 | Nicholas Saunderson - 1761 - 438 sider
...which is the fame quantity. In folving this laft problem it is taken for granted that every cone.is the third part of a cylinder having the fame bafe...height ; which may fafely be done, fince Euclid has demonftrated it in the 1oth ot the twelfth book of the Elements: but becaufe Euclid's doctrine of folids... | |
 | John Ward - 1771 - 510 sider
...both the End Area's. The Sum — 2513,2080 is the Superficies of the whole Cylinder. • THEOREM XIII. Every Cone is the third Part of a Cylinder, having the fame Baft vjith it, and tfieir Altitudes equal. (lO. t. 12.) 1 SDeman« SDnnonffmion. The Truth of this... | |
 | Euclid - 1776 - 318 sider
...and altitudes reciprocally proportional, are likewife equal c. Wherefore, &c. E PROP. X. THEO R. VERT cone is the third part of a cylinder, having the fame bafe) and an equal altitude. Let there be a cone and cylinder, having the fame bafe, viz. the circle ABCD, and... | |
 | Euclid - 1776 - 326 sider
...and altitudes reciprocally proportional, are likewife equal0. Wherefore, &c. PROP. X. THEO R. E VERY cone is the third part of a cylinder ; having the fame bafe, and an equal altitude. Let there be a cone and cylinder, having the fame bafe, viz* the circle ABCD, and... | |
 | Ireland commissioners of nat. educ - 1834 - 370 sider
...found by multiplying the area of the base by one-third of the height. t In solid Geometry it is proved that every cone is the third part of a cylinder having the same base and altitude ; but the solidity of a cylinder is found by multiplying the area of its base... | |
 | Commissioners of National Education in Ireland - 1841 - 136 sider
...multiplying the area of th base by one-third of the height. (Page 87.) 66. In solid Geometry, it is proved that every cone is the third part of a cylinder having the same base and altitude ; but the solidity of a cylinder is found by multiplying the area of its base... | |
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In folving this lad problem it is takeh for granted that every cone is the third part of a cylinder having the fame... 