## Plane and Solid Geometry |

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### Common terms and phrases

AABC acute altitude base bisector bisects called chord circle circular cone circumscribed common congruent Construct corresponding cylinder determine diagonals diameter diedral angles difference distance divided Draw drawn edge equal equidistant equilateral triangle equivalent EXERCISES face figure Find Find the area formed formula four geometry given given point greater height hexagon hypotenuse inch inscribed intersecting isosceles triangle lateral area length less locus mean measure meet opposite parallel parallel lines parallelogram pass perimeter perpendicular placed plane polyedral angle polygon prism Problem Proof proportional prove pyramid radii radius ratio rectangle regular polygon respectively right angle right circular right triangle segment Show shown sides similar solid sphere spherical triangle square straight line SUGGESTION surface tangent Theorem triangle triedral unit vertex vertices volume

### Popular passages

Page 169 - 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 75 - 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 19 - 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 155 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.

Page 89 - Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other.

Page 164 - 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.

Page 155 - ... any two parallelograms are to each other as the products of their bases by their altitudes. PROPOSITION V. THEOREM. 403. The area of a triangle is equal to half the product of its base by its altitude.

Page 248 - ... as the squares of their radii, or as the squares of their...

Page 296 - Axiom. Through a given point only one straight line can be drawn parallel to a given straight line.

Page 39 - In an isosceles triangle the angles opposite the equal sides are equal.