## Plane and Solid Geometry |

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### Common terms and phrases

ABCD adjacent angles altitude angles are equal apothem axis base bisector bisects called centre chord circumference circumscribed coincide construct cylinder denote diagonals diameter dihedral angles divided Draw ellipse equiangular equidistant equilateral triangle equivalent feet Find the area Find the locus frustum given circle given line given point given straight line greater Hence homologous homologous sides hypotenuse inches inscribed intersecting isosceles triangle lateral area lateral edges legs limit middle point number of sides parallel lines parallelogram parallelopiped perimeter perpendicular plane MN polyhedron prism prismatoid Proof proportional prove Q. E. D. PROPOSITION quadrilateral radii radius ratio rectangle regular polygon respectively rhombus right angle right circular right triangle segments similar slant height sphere spherical square surface tangent tetrahedron THEOREM trapezoid triangle ABC triangles are equal trihedral vertex vertices

### Popular passages

Page 94 - Any two sides of a triangle are together greater than the third side.

Page 274 - If two planes are perpendicular to each other, a straight line drawn in one of them perpendicular to their intersection is perpendicular to the other plane.

Page 50 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.

Page 42 - If two triangles have two sides of the 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.

Page 360 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.

Page 89 - The tangents to a circle drawn from an external point are equal, and make equal angles with the line joining the point to the centre.

Page 156 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.

Page 41 - If two angles of a triangle are unequal, the sides opposite are unequal, and the greater side is opposite the greater angle.

Page 191 - 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 166 - If two chords intersect in a circle, the product of the segments of one is equal to the product of the segments of the other.