## New Plane Geometry |

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### Common terms and phrases

a₁ ABCD altitude angles are equal angles equal b₁ base bisected C₁ called central angles chord circumference circumscribed congruent construct COROLLARIES definition diagonals diameter divided drawn equal angles equal circles equal sides equals the sum Exercises exterior angles figure of prop given line given point greater Hence hypotenuse included angle inscribed inscribed angle interior intersecting isosceles triangle Law of Converse line joining line-segment locus of points median meet n-gon opposite sides orthocenter parallel parallelogram perigon perimeter plane plane geometry Problem produced Proof prop proportional PROPOSITION quadrilateral radii radius ratio rectangle reflex angle regular polygon rhombus right angle right-angled triangle sides equal Similarly square straight angle straight line student subtend Suppose tangent Theorem transversal trapezoid unequal vertex XVII zero

### Popular passages

Page 172 - A line parallel to one side of a triangle divides the other two sides proportionally.

Page 161 - The first and last terms of a proportion are called the extremes, and the two middle terms are called the means.

Page 147 - To draw a tangent to a given circle from a given point.

Page 186 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.

Page 121 - The perpendicular bisector of a chord passes through the center of the circle and bisects the arcs subtended by the chord.

Page 202 - That is, the number which represents its square units of area is the product of the two numbers which represent its base and altitude. For in prop. II, if R' = 1, the square unit of area, then a' and 6' must each equal 1, the unit of length.

Page 162 - If the product of two numbers equals the product of two other numbers, either two may be made the means and the other two the extremes of a proportion.

Page 38 - If two triangles have two sides of the one respectively equal to two sides of the other, and the...

Page 131 - An angle in a segment is greater than, equal to, or less than, a right angle, according as the segment is less than, equal to, or greater than, a semicircle.

Page 65 - The lines joining the mid-points of the opposite sides of a quadrilateral bisect each other.