# Elements of Plane Geometry

American book Company, 1901 - 247 σελίδες

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### Περιεχόμενα

 Abbreviations list of 29 8 PLANE GEOMETRY 9 BOOK I 15 ADDITIONAL EXERCISES 71 Equiangular polygon 152 76 BOOK II 79 Equilateral polygon 152 96 Equivalent polygons 561 113
 Hexagon 152 168 ADDITIONAL EXERCISES 173 Hypotenuse 43 178 BOOK IV 181 ADDITIONAL EXERCISES 213 BOOK V 220 Antecedents in proportion 404 Corollary 25 223 Arc 21 230

 ADDITIONAL EXERCISES 122 BOOK III 129 Harmonical division 509 158
 Axioms list of 27 240 ADITIONAL EXERCISES 243 Πνευματικά δικαιώματα

### Δημοφιλή αποσπάσματα

Σελίδα 202 - 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 diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 180 - In any inscribed quadrilateral, the product of the diagonals is equal to the sum of the products of the opposite sides.
Σελίδα 90 - In the same circle or in equal circles equal chords are equally distant from the center; and conversely, chords that are equally distant from the center are equal.
Σελίδα 53 - 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. Given A ABC and A'B'C...
Σελίδα 195 - Similar triangles are to each other as the squares of their homologous sides.
Σελίδα 30 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 120 - If a quadrilateral is circumscribed about a circle, the sum of one pair of opposite sides is equal to the sum of the other pair.
Σελίδα 203 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.
Σελίδα 15 - If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.
Σελίδα 72 - The lines joining the middle points of the opposite sides of a quadrilateral bisect each other.