 | William Smyth - 1859 - 244 стор.
...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 стор.
...whose equation is and a plane parallel to that of yz, and at a distance c from it. Ans. ire2 (ab)^. 11. The axes of two equal right circular cylinders intersect at right angles, their equations being a? + z2 = «3 and a£ + yt^c?; find the volume of the solid common to both. Ans.... | |
 | Joseph Bayma - 1889 - 296 стор.
...the semi-circumference AMB. The surface of the whole ring is therefore — 2rrr.27r.ff. PBOBLEM II. The axes of two equal right circular cylinders intersect at right angles. To find the volume of t7i,e solid common to both. Let us take the origin of co-ordinates at the intersection... | |
 | 1900 - 370 стор.
...Associate Professor of Mathematics. Leland Stanford Jr. University. Palo Alto. Cat. The axis of three equal right circular cylinders intersect at right angles. Find the volume of the solid common to all. Solution by 0. BM ZERR. AM Pb. I) . Professor of Mathematics and Science. Chester High School... | |
 | Queen's University (Kingston, Ont.) - 1899 - 920 стор.
...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 bounded by the two. (A groin). HONOURS. Conies, II. 1. Explain the force of the... | |
 | Frederick Shenstone Woods - 1909 - 432 стор.
...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 стор.
...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,... | |
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OY their common perpendicular at their point of intersection 0, and a the radius of the base of each cylinder. Then the figure represents one eighth of the required volume V. A plane passed perpendicular... 