## Plane Geometry Suggestive MethodAtkinson, Mentzer & Grover, 1905 |

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A B and C D adjacent angles angle formed angles are equal apothem arc A B arc C D base and altitude bisector bisects chord circumference Complete the demonstration convex polygon COROLLARY diagonal diameter distance divided Draw equal angles equal circles equal in area equal to angle Find Geometry Give auth given line given point Hence homologous hypotenuse interior angles intersect isosceles triangle Let A B C represent limit locus magnitude method middle point number of sides parallel lines parallelogram perimeter perpendicular Problem PROPOSITION XIV prove that angle quadrilateral radii radius rectangle regular inscribed polygon regular polygon respectively rhombus right angles right triangle SCHOLIUM segment similar polygons similar triangles straight line subtended Suggestion tangent Theorem transversal trapezoid triangle is equal triangles A B C unequal unit of measure variable which approaches vertex vertical angle

### Popular passages

Page 152 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.

Page 80 - A circle is a portion of a plane bounded by a curved line, all points of which are equally distant from a point within called the centre.

Page 85 - The locus of a point at a given distance from a given point is the circumference described from the point with the

Page 163 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.

Page 135 - In any proportion, the product of the means equals the product of the extremes.

Page 54 - ... that the sum of the interior angles of a triangle is equal to two right angles.

Page 182 - The area of a rectangle is equal to the product of its base and altitude.

Page 76 - The. sum of the angles of any polygon is equal to twice as many right angles as the polygon has sides, less four right angles.

Page 186 - If two triangles have an angle of one equal to an angle of the other, the ratio of their areas equals the ratio of the products of the sides including the equal angles. AA BC ABXACA To prove = . AA B' CA B' x AC' Suggestion. Connect B and C'.

Page 34 - If the sum of two adjacent angles is equal to two right angles, the exterior arms of the angles are in the same straight line.