## Plane Geometry Developed by the Syllabus Method |

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altitude angles are equal angles equal angles formed apothem arms base angles bisects called center line center sect central angles chord circum circumcenters CONST Construct a triangle contraposite diagonal diameter difference distance divided drawn equal angles equal sides equals the sum equiangular equiangular polygon equilateral triangle exterior figure Find the area Find the length Find the locus formula Geometry given angle given circle given line given point given ratio given sect given square given triangle greater hexagon hypotenuse included angle inscribed angle interior angles intersection isosceles triangle line joining median method number of sides opposite angles opposite sides pair parallelogram perigon perimeter perpendicular bisector points equidistant proof prove pupils quadrilateral radii radius regular inscribed regular polygon rhombus right angle right triangle secant sides equal statement straight angle straight line surface tangent Theorem third side transverse trapezoid triangle ABC twice unequal vertex angle vertices

### Popular passages

Page 48 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.

Page 70 - Each degree is divided into 60 equal parts called minutes, and each minute into 60 equal parts called seconds.

Page 73 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.

Page 172 - A line from the vertex of an isosceles triangle to any point in the base is smaller than the arms.

Page 49 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.

Page 102 - In the same circle, or in equal circles, if two arcs are equal, their central angles are equal; and conversely.

Page 41 - In a right triangle, the side opposite the right angle is called the hypotenuse and is the longest side.

Page 161 - If the number of sides of a regular polygon inscribed in a circle be increased indefinitely, the apothem of the polygon will approach the radius of the circle as its limit.

Page 94 - LET it be granted that a straight line may be drawn from any one point to any other point.

Page 181 - The triangle formed by joining the middle point of one of the non-parallel sides of a trapezoid to the extremities of the opposite side is equivalent to one-half the trapezoid.