## A Geometry Reader |

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### Common terms and phrases

acute angle altitude angles equal angles of parallels answer axiom base bisector Calculate chord circle circumference circumscribed common construct corresponding definitions depending determine diagonal diameter difference direction distance divided Draw drawn equal equal angles equal triangles equilateral triangle Exercises Group exterior extremities fall figure Find Find the area formed four fraction geometry give given Grant greater half homologous hypothenuse inches included inscribed interior angles intersect isosceles triangle joining length limit mean measured median meet method middle obtain opposite pair parallel parallelogram perimeter perpendicular preceding principles Problem prolonged Proof Prop proportional Proposition Prove radii radius ratio reason rectangle regular polygon remaining Represent respectively right angle right triangles secant segments Show sides similar square straight line student tangent Theorem triangle ABC triangle whose sides unequal unit variable vertex vertices

### Popular passages

Page 125 - 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 234 - 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 233 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.

Page 46 - The line joining the mid-points of two sides of a triangle is parallel to the third side, and equal to half the third side.

Page 97 - Two triangles are congruent if two angles and the included side of one are equal respectively to two angles and the included side of the other.

Page 234 - If two triangles have two sides of the one equal, respectively, to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second.

Page 234 - In an isosceles triangle the angles opposite the equal sides are equal.

Page 254 - Assuming that the areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles...

Page 184 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.

Page 187 - Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion.