## Plane and Solid Geometry |

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### Common terms and phrases

ABCD altitude angle angles are equal base bisect bisector called chord circle circumference circumscribed coincide common cone construct contains corresponding cylinder diagonals diameter diedral angles difference distance divide draw drawn equal equidistant equivalent exterior angle faces figure Find formed four frustum geometrical given circle given line given point greater Hence homologous hypotenuse inches included inscribed intersecting isosceles triangle lateral edges length less limit line joining measured median meet midpoints opposite sides parallel parallel lines parallelogram passing perimeter perpendicular plane polygon prism PROBLEM Proof PROPOSITION prove prove Proof pyramid quadrilateral radii radius ratio rectangle regular polygon right angles right triangle School segments sides similar sphere spherical triangle square straight line surface tangent THEOREM third transform triangle triangle are equal vertex vertices

### Popular passages

Page 146 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.

Page 248 - A straight line perpendicular to one of two parallel planes is perpendicular to the other also.

Page 165 - The area of a rectangle is equal to the product of its base and altitude. 1\ u Hyp.

Page 303 - A cylinder is a solid bounded by a cylindrical surface and two parallel planes ; the bases of a cylinder are the parallel planes; and the lateral surface is the cylindrical surface.

Page 45 - ... the third side of the first is greater than the third side of the second.

Page 117 - In any proportion, the product of the means is equal to the product of the extremes.

Page 29 - The median to the base of an isosceles triangle is perpendicular to the base.

Page 178 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.

Page 150 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.

Page 148 - If, from a jwint without a circle, a tangent and a secant be drawn, the tangent is the mean proportional between the secant and UK external segment.