## PLANE AND SOLID GEOMETRY |

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ABCD altitude angle base bisector bisects chord circle circumference circumscribed coincide common cone construct contains cylinder denoted determine diagonal diameter difference dihedral angle distance divided Draw drawn edges equal equidistant equivalent EXERCISES extremities faces figure Find Find the area formed four frustum geometric given line given point greater GROUP Hence homologous included inscribed intersect isosceles triangle joining lateral length limit mean measure meet method midpoints opposite pair parallel parallelogram pass perimeter perpendicular plane polygon polyhedron prism PROBLEM produced Proof properties proportional PROPOSITION prove pyramid quadrilateral radii radius ratio rectangle regular polygon respectively right angles right triangle segments sides similar solid sphere spherical square straight line surface symmetrical tangent THEOREM third trapezoid triangle unit vertex vertices volume

### Popular passages

Page 241 - If two triangles have an angle of one equal to an angle of the other, and...

Page 103 - A chord is a straight line joining the extremities of an arc.

Page 54 - Every point in the bisector of an angle is equidistant from the sides of the angle. Hyp. Z DAB = Z DAC and 0 is any point in AD. To prove 0 is equidistant from AB and AC. Draw OP _L AB and OP' _L AC, and prove the equality of the two triangles.

Page 82 - The perpendiculars from the vertices of a triangle to the opposite sides meet in a point.

Page 114 - In the same circle or in equal circles, if two chords are unequal, they are unequally distant from the center, and the greater chord is at the less distance.

Page 47 - If two triangles have two sides of one equal respectively to two sides of the other...

Page 416 - Every section of a circular cone made by a plane parallel to the base is a circle. Let the section abcd of the circular cone S-ABCD be parallel to the base. To prove that abcd is a circle.

Page 35 - The perpendicular is the shortest straight line that can be drawn from a given point to a given straight line...

Page 193 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.

Page 450 - If two angles of a spherical triangle are equal, the sides opposite these angles are equal and the triangle is isosceles. Given the spherical triangle ABC, with angle B equal to angle C. To prove that AC = AB. Proof. Let A A'B'C ' be the polar triangle of A ABC.