| William Marrat - 1810 - 512 σελίδες
...nx • 31.1 (or yx)=. — — •-.-._; and we have VO=|jr, or, when i~a, 2\/V+l then, VO=|«=.JVS. The centres of gravity of the surface of a cylinder, of a cone, and of a conic frustum, are respectively at the wuic distances from the kss ends, as the centres of gravity of the... | |
| Olinthus Gregory - 1815 - 604 σελίδες
...from the centre of the circle is -£- ; where a denotes the arc, c its chord, and r the radius. 2. The centres of gravity of the surface of a cylinder, of a cone, and of a come frustum, are respectively at the same distances from the origin as are the centres of gravity,... | |
| Olinthus Gregory - 1826 - 604 σελίδες
...the centre of the circle is — — ; where a denotes the arc, c its chord, and r the 99 radius. 2. The centres of gravity of the surface of a cylinder, of a cone, and of a conic frustum, are respectively at the same distances from the origin as are the centres of gravity, of the... | |
| Olinthus Gregory - 1834 - 472 σελίδες
...centre of 2 f' v the circle is ; where a denotes the arc, e, its chord, and • ' tt r the radius. > 20. The centres of gravity of the surface of a cylinder,...which are vertical sections of the respective solids. 21. The centre of gravity of the surface of a spheric segment is at the middle of its versed sine or... | |
| Encyclopaedia - 1845 - 902 σελίδες
...• „ . In all these examples r,y, г, С and G, are made to denote the same as in example 1 . 6. The centres of gravity of the surface of a cylinder,...same distances from the origin, as are the centres of construe-"1 tion. 30 ;:ii-iki »ravity of the parallelogram, the triangle, and trapezoid, •^^^ which... | |
| James Hann - 1848 - 352 σελίδες
...of \ are :: ra^ from the centre. MS MIC : chord :: | radios : iVlili) tll« centre. of the centre of same distances from the origin as are the centres...distance of the centre of gravity from the vertex is j of the axis. 7. In a conic frustrum, the distance on the axis from . , , . . . ,, the centre of the... | |
| John Bourne - 1851 - 346 σελίδες
...three-eighths of the semi-base. The centres of gravity of the surface of a cylinder, a cone, and conic frustum, are respectively at the same distances from the origin...as are the centres of gravity of the parallelogram, the triangle, and trapezoid, which are sections passing along the axes of the respective solids. The... | |
| Oliver Byrne - 1851 - 310 σελίδες
...three-eighths of the semi-base. The centres of gravity of the surface of a cylinder, a cone, and conic frustum, are respectively at the same distances from the origin...as are the centres of gravity of the parallelogram, the triangle, and the trapezoid, which are sections passing along the axes of the respective solids.... | |
| Olinthus Gregory - 1863 - 482 σελίδες
...centre of 2 cv the circle is — — ; where a denotes the arc, c, its chord, and 3 a r the radius. 20. The centres of gravity of the surface of a cylinder,...which are vertical sections of the respective solids. 21. The centre of gravity of the surface of a spheric segment is at the middle of its versed sine or... | |
| Oliver Byrne - 1863 - 600 σελίδες
...three-eighths of the semi-base. The centres of gravity of the surface of a cylinder, a cone, and conic frustum, are respectively at the same distances from the origin...as are the centres of gravity of the parallelogram, the triangle, and the trapezoid, which are sections passing along the axes nf the respective solids.... | |
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