## 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

AABC ABCD acute angle adjacent altitude base bisector bisects called chord circle circumference circumscribed coincides common Compute Construct corresponding determine diagonals diameter difference distance divided double Draw drawn equal equidistant equilateral triangle equivalent EXERCISES external figure Find formed four geometry Give given given line given point greater hexagon hypotenuse inch interior angles intersecting isosceles triangle joining less mean measure median meet method middle point miles number of sides octagon opposite parallel lines parallelogram pass perimeter perpendicular placed Problem Proof proportional protractor Prove quadrilateral radii radius ratio rectangle regular inscribed polygon regular polygon right angle right triangle segment Show shown sides similar square straight line SUGGESTION supplementary surface tangent Theorem trapezoid triangle ABC unit vertex vertices

### Popular passages

Page 153 - In any triangle, the square of a side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other side upon it.

Page 189 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.

Page 139 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.

Page 233 - ... as the squares of their radii, or as the squares of their...

Page 80 - ... the third side of the first is greater than the third side of the second.

Page 148 - ... 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 94 - Theorem. In the same circle or in equal circles, equal chords are equidistant from the center; and of two unequal chords the greater is nearer the center. Given two equal © M, M ' , with chords AB = A'B', AE > A'B', and OC, OD, O'C' ±'s from center 0 to AB, AE, and from center O

Page 149 - The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides.

Page 135 - The area of a rectangle is equal to the product of its base and altitude.

Page 148 - Two triangles which have an angle of one equal to the supplement of an angle of the other are to each other as the products of the sides including the supplementary angles.