## Plane Geometry |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### Common terms and phrases

ABCD adjacent altitude angle formed angles are equal base bisector bisects called chord circle circumference circumscribed coincide common compare in length Consequently Construct contains corresponding Data describe diagonals diameter difference direction distance divided Draw drawn equal equal circles equidistant equilateral triangle equivalent exterior extremities figure Find formed geometry given given point greater half Hence hypotenuse included inscribed intercepted interior angles intersecting isosceles triangle joining kind less limit mean measured meet middle point number of sides opposite sides parallel parallel lines parallelogram pass perimeter perpendicular polygon Problem produced Proof proportion Proposition prove quadrilateral radii radius ratio rect reference regular polygon respectively right angle right triangle secant segments sides similar Solution square straight line student subtended SUGGESTION tangent Theorem transversal trapezoid unequal vertex vertical angle

### Popular passages

Page 67 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.

Page 105 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.

Page 46 - Any exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Page 74 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the transversal is equal to two right angles, (p.

Page 64 - From 56 and 57 the pupils should learn that two triangles are equal in every respect (a) when two sides and the included angle of one are equal to two sides and the included angle of the other...

Page 53 - If two angles of a triangle are unequal, the sides opposite are unequal, and the greater side is opposite the greater angle.

Page 61 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.

Page 126 - DE and on the same side of it ; but equal triangles on the same base, and on the same side of it, are between the same parallels ; [I.

Page 90 - Theorem. In the same circle, or in equal circles, equal chords are equally distant from the center; conversely, chords equally distant from the center are equal.

Page 149 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.