## Plane Geometry by the Suggestive Method |

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### Common terms and phrases

ABCD acute angle alternate-exterior angles altitude angles are equal apothem Apply Theo Auth bisector bisects central angles chord circumference Converse of Theo Corollary diagonals diameter divided double the number draw a line drawn equal angles equal circles equal respectively equals the product equals the ratio equals two right equiangular equiangular polygon EXERCISES exterior angle follows regarding four right angles given line greater homologous hypotenuse included angle inscribed angle intercepted arc interior intersect isosceles triangle line perpendicular lines are cut lines are parallel locus mean proportional method middle point number of sides oblique lines parallel lines parallelogram perimeters Problem Prop radius rectangle regular inscribed polygon regular polygon rhombus right triangle Scholium secant similar polygons straight line tangent THEOREM IV THEOREM VIII Topics for Definition trapezoid triangle equals triangles are equal triangles are similar unequal vertex

### Popular passages

Page 92 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.

Page 115 - If two triangles have two sides of one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side.

Page 115 - If two triangles have two sides of one equal to two sides of the other but the third side of the first greater than the thin!

Page 12 - If two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the triangles are congruent.

Page 76 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.

Page 73 - ... 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 3 - If the first of three quantities is greater than the second, and the second is greater than the third, then the first is greater than the third.

Page 113 - If two straight lines in a plane meet another straight line in the plane so that the sum of the interior angles on the same side of the latter straight line is less than two right angles...

Page 77 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.

Page 80 - In a right triangle, if a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.