 | Royal Military Academy, Woolwich - 1853 - 476 páginas
...spheroid -S - - - -^ — - - = — - — - - - vr , Also, prolate spheroid b" sphere on minor axis* 5. The axes of two equal right circular cylinders...intersect at right angles ; find the volume of the solid cummon to both. Let a plane pass through both the axes of the cylinders, dividing the solid into two... | |
 | William Smyth - 1859 - 244 páginas
...will then be reduced to that of a double integral which will be a function of x and y only. Ex. 1. The axes of two equal right circular cylinders intersect...angles ; find the volume of the solid, common to both. Let the intersection of the axes of the cylinders be the origin of co-ordinates, and let their axes... | |
 | Edward Albert Bowser - 1880 - 424 páginas
...whose equation is and a plane parallel to that of yz, and at a distance с from it. Ans. rtcl(ab}^. 11. The axes of two equal right circular cylinders intersect at right angles, their equations being y? + za = a2 and ж2 -fy* = aa ; find the volume of the solid common to both.... | |
 | Joseph Bayma - 1889 - 296 páginas
...the semi-circumference AMB. The surface of the whole ring is therefore = 2;rr . 2;rff . PROBLEM II. The axes of two equal right circular cylinders intersect at right angles. To find the volume of the solid common to both. Let us take the origin of co-ordinates at the intersection... | |
 | Queen's University (Kingston, Ont.) - 1899 - 920 páginas
...vectores is (a) proportional to the area bounded by them, (6) proportional to the arc intercepted. 7. The axes of two equal right circular cylinders intersect at right angles. Find the surface of the figure Ixnmded by the two. (A groin). Queen's University Examinations: April, 1900.... | |
 | Frederick Shenstone Woods - 1909 - 432 páginas
...Therefore ' = - (a2 - x*). Consequently the required volume is /-a a2 3 APPLICATIONS TO GEOMETRY Ex. 2. The axes of two equal right circular cylinders intersect at right angles. Required the volume common to the cylinders. Let OA and OB (fig. 27) be the axes of the cylinders,... | |
 | Frederick Shenstone Woods - 1917 - 562 páginas
...Theref ore Consequently the required volume is The solid is called an ellipsoid (§ 143, Ex. 5). Ex. 2. The axes of two equal right circular cylinders intersect at right angles. Required the volume common to the cylinders. Let OA and OB (fig. 170) be the axes of the cylinders,... | |
 | 1898 - 706 páginas
...Associate Professor of Mathematics, Leland Stanford Jr. University . Palo Uto, 0*1. The axis of three equal right circular cylinders intersect at right angles. Find the volume of the solid common to all. 100. Proposed 07 BF FINKEL, AM, M. So.. Professor of Mathematics and Physics, Drury College,Springfield.... | |
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Ex. 2. The axes of two equal right circular cylinders intersect at right angles. Required the volume common to the cylinders. Let OA and OB (fig. 