...plane figure about a fixed straight line taken in its plane. Thus we have seen (IV.def. 2 1.) that a sphere is generated by the revolution of a semicircle about its diameter. If a right angle triangle VGA revolve about one of the sides containing the right angle, as VC, that...

...plane figure about a fixed straight line taken in its plane. Thus we have seen (IV, def. 21.) that a sphere is generated by the revolution of a semicircle about its diameter. If a right angle triangle VGA revolve about one of the sides containing the right angle, as VC, that...

...him to investigate intelligently the solutions of the problems connected with them. 1. The surface of a sphere is generated by the revolution of a semicircle about its diameter. 2. All plane sections of a sphere are circles; if they contain the centre, they are great circles....

...him to investigate intelligently the solutions of tke problems connected with them. 1. The surface of a sphere is generated by the revolution of a semicircle about its diameter. 2. All plane sections of a sphere are circles ; if they contain the centre, they are great circles....

...the shape of the base. A right prism or pyramid is one whose axis is perpendicular to the base.* If the axis is not perpendicular, the prism or pyramid is termed oblique. A cylinder is that solid which is generated by the revolution of a rectangle round one of its sides....

...their ends, thus, a square prism has square ends, a hexagonal pyramid has a hexagon, for its base. The line passing through the middle of the solid is...perpendicular, the prism or pyramid is termed oblique. A cylinder is a solid figure described by the revolution of a rectangle about one of its sides which...

...Calculus. The following method seems to me to be more simple and concise than any that bus been given. A sphere is generated by the revolution of a semicircle about its diameter. Let CD be a side of an equilateral polygon inscribed in the circle ADB, such that CD is contained a...