Plane and Solid Geometry

Century Company, 1906 - 418 σελίδες

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Περιεχόμενα

 CONSTRUCTIONS 111 Loci 126 PAGE 140 SIMILAR POLYGONS 154 AREAS OF POLYGONS 192 COMPARISON OF POLYGONS 199 CONSTRUCTIONS 217 CONSTRUCTIONS 239
 POLYEDRAL ANGLES 296 POLYEDRONS CYLINDERS AND CONES 303 PYRAMIDS 321 SIMILAR POLYEDRONS 338 CYLINDERS 344 CÁNES 353 PAGE 365 SPHERICAL ANGLES 389

 MAXIMA AND MINIMA 254 SYMMETRY 262 SOLID GEOMETRY 268 DIEDRAL ANGLES 284
 SPHERICAL VOLUMES 400 INDEX 413 Πνευματικά δικαιώματα

Δημοφιλή αποσπάσματα

Σελίδα 168 - 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 41 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 38 - ... greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Σελίδα 35 - Any side of a triangle is less than the sum of the other two sides...
Σελίδα 242 - 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. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Σελίδα 174 - In any triangle, the product of two sides is equal to the product of the segments of the third side formed by the bisector of the opposite angle plus the square of the bisector.
Σελίδα 172 - If from a point without a circle a tangent and a secant are drawn, the tangent is the mean proportional between the whole secant and its external segment.
Σελίδα 171 - 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.
Σελίδα 192 - The areas of two rectangles having equal altitudes are to each other as their bases.
Σελίδα 65 - The perpendicular bisectors of the sides of a triangle meet in a point. 12. The bisectors of the angles of a triangle meet in a point. 13. The tangents to a circle from an external point are equal. 14...