## Solid Geometry |

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Solid Geometry George William Myers,Claude Irwin Palmer,Daniel Pomeroy Taylor No preview available - 2016 |

### Common terms and phrases

altitude angle formed angles are equal Axiom axis base and altitude bisecting circle circumscribed prisms construct cube cubic denotes determine a plane diagonal diameter diedral angles distance draw drawn equal respectively equal spheres EXERCISES face angles figure Find the area Find the number Find the radius Find the volume formula frustum given line given point intersecting planes isosceles lateral area lateral edges line is perpendicular lines are parallel lune number of faces oblique parallel planes parallelogram perimeter plane angle plane determined plane geometry plane Q polar triangle pole polyedral angle prismatoid Proof prove radii ratio rectangle rectangular parallelepiped regular polygon regular pyramid right circular cone right circular cylinder right prism right section right triangle similar slant height spherical angles spherical excess spherical polygon spherical segment spherical triangle square tangent Theorem total area triangular prism triangular pyramid triedral V=Bh vertex vertices zone

### Popular passages

Page 434 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.

Page 355 - The lateral area of a frustum of a right circular cone is equal to one half the product of its slant height and the sum of the circumferences of its bases.

Page 439 - Two triangles which have an angle of one equal to the supplement of an angle of the other are to each other as the products of the sides including the supplementary angles.

Page 319 - The lateral area of a prism is equal to the product of the perimeter of a right section of the prism by a lateral edge. Let AD...

Page 395 - The areas of the surfaces of two spheres are to each other as the squares of their radii, or as the squares of their diameters.

Page 294 - The acute angle which a straight line makes with its projection upon a plane is the least angle which it makes with any line of the plane.

Page 292 - If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to that plane. Let AB, A'B', be parallel lines, and let n s' AB be perpendicular to the plane MN; then, A'B

Page 432 - The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.

Page 293 - The projection of a point upon a plane is the foot of the perpendicular from the point to the plane.

Page 435 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second.