# Elements of Plane and Solid Geometry

American Book Company, 1903 - 384 σελίδες

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### Περιεχόμενα

 Abbreviations list of 29 8 PLANE GEOMETRY 9 Angles adjacent 15 220 64 Equiangular polygon 152 76 Equilateral polygon 152 96 Equivalent polygons 561 113 External division 506 129
 Hypotenuse 43 178 Antecedents in proportion 404 Corollary 25 223 Index OF MATHEMATICAL TERMS 248 Points and LINES IN SPACE 285 ADDITIONAL EXERCISES 320 Incommensurable quantities 342 Arc 21 343 Indirect proof 39 354

### Δημοφιλή αποσπάσματα

Σελίδα 167 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Σελίδα 139 - A line parallel to one side of a triangle divides the other two sides proportionally.
Σελίδα 187 - Any two rectangles are to each other as the products of their bases by their altitudes.
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 an 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 equally distant from the center are equal.
Σελίδα 195 - Since similar triangles are to each other as the squares of their homologous sides, ABC : DBE : : AB' : BD3 ; whence BD = AB J ^5| ~ AB A/— ^ — . j A150 f in -f- n The construction of Fig.
Σελίδα 129 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
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 17 - 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.