# The Essentials of Geometry (plane)

D.C. Heath & Company, 1898 - 242 σελίδες

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### Δημοφιλή αποσπάσματα

Σελίδα 222 - The perpendiculars from the vertices of a triangle to the opposite sides are the bisectors of the angles of the triangle formed by joining the feet of the perpendiculars.
Σελίδα 41 - If two triangles have two sides of 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.
Σελίδα 47 - ... the three sides of one are equal, respectively, to the three sides of the other. 2. Two right triangles are congruent if...
Σελίδα 71 - A chord is a straight line joining the extremities of an arc ; as AB.
Σελίδα 149 - If one leg of a right triangle is double the other, the perpendicular from the vertex of the right angle to the hypotenuse divides it into segments which are to each other as 1 to 4.
Σελίδα 190 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Σελίδα 140 - In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Σελίδα 161 - DB as often as possible. As the lines AD and DB are incommensurable, there must be a remainder, B'B, less than one of the equal parts. Draw B'C
Σελίδα 49 - Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other.