## Plane Geometry |

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### Common terms and phrases

ABCD acute altitude answer base bisectors called chord circle circular circumference common Compare cone congruent construct contained Corollary corresponding cube cylinder definite desired determine diagonal diameter difference dihedral angles distance divide Draw drawn edges equal equilateral EXERCISES faces fact feet figure Find follows four geometry given given line given point greater half height Hence Hint hypotenuse illustrated inches included inscribed interior angles intersection isosceles joining lateral length locus means measured meet middle Note opposite parallel parallel lines parallelogram pass perimeter perpendicular placed plane polygon portion prism Problem Proof proportional prove pyramid quadrilateral radius ratio rectangle regular respectively result right angles right triangle segment Show sides similar solid sphere spherical square straight line surface tangent Theorem trihedral unit vertex vertices volume

### Popular passages

Page 182 - The area of a rectangle is equal to the product of its base and altitude ; that is, A = ab. 443. Corollary 1. The area of a square is equal to the square of its side. 444. Corollary 2. Tiro rectangles are to each other as the products of their bases and altitudes.

Page 58 - If two parallel lines are cut by a transversal, the alternate interior angles are equal.

Page 99 - Any two sides of a triangle are together greater than the third side.

Page 73 - If two triangles have two sides of the one equal to two sides of the...

Page 271 - An oblique prism is equivalent to a right prism whose base is a right section of the oblique prism, and whose altitude is equal to a lateral edge of the oblique prism. Hyp. OM is a right section of oblique prism AD', and OM ' a right prism whose altitude is equal to a lateral edge of AD'.

Page 329 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...

Page 74 - XVIII, prove that the perpendicular is the shortest line that can be drawn from a point to a straight line.

Page 103 - The Radius of a sphere is a straight line drawn from the center to any point in the surface.

Page 164 - 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 30 - Two triangles are equal when the three sides of the one are respectively equal to the three sides of the other.