## Plane and Solid Geometry |

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### Common terms and phrases

ABCD altitude angles are equal base angles bisect bisector chord circumference circumscribed cone construct a triangle cylinder diagonals diagram for Prop diameter diedral angles divide draw drawn equiangular equiangular polygon equilateral triangle equivalent exterior angle face angles find a point Find the area Find the radius Find the volume frustum given circle given line given point given triangle Hence HINT homologous hypotenuse inches inscribed intersecting isosceles triangle joining the midpoints lateral area lateral edges line joining mean proportional median opposite sides parallel lines parallelogram parallelopiped perimeter perpendicular plane MN point equidistant polyedral angle polyedron PROPOSITION prove Proof quadrilateral radii ratio rectangle regular polygon respectively equal rhombus right angles right triangle SCHOLIUM segments sphere spherical polygon spherical triangle square straight angle straight line surface tangent THEOREM trapezoid triangle ABC triangle are equal triedral vertex

### 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.