# Drill Book in Plane Geometry

Palmer Company, 1922

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### Περιεχόμενα

 INEQUALITY 23 LOCI 25 CIRCLES AND TANGENTS 33 EQUALITY OF ARCS AND CHORDS 35 INEQUALITY OF ARCS AND CHORDS 37
 MENSURATION OF THE TRIANGLE 73 NOTES 86 SUMMARIES OF METHODS 102 DEFINITIONS 112 Πνευματικά δικαιώματα

### Δημοφιλή αποσπάσματα

Σελίδα 24 - 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. Hyp. In A ABC and A'B'C' AB = A'B'; AC = A'C'; ZA>ZA'.
Σελίδα 77 - 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. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Σελίδα 8 - 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.
Σελίδα 18 - 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.
Σελίδα 8 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Σελίδα 33 - PERIPHERY of a circle is its entire bounding line ; or it is a curved line, all points of which are equally distant from a point within called the centre.
Σελίδα 73 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.
Σελίδα 114 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Σελίδα 21 - Theorem. —A line perpendicular to one of two parallel lines is perpendicular to the other.
Σελίδα 59 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.