# Plane and Solid Geometry

American Book Company, 1899 - 384 σελίδες

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### Περιεχόμενα

 GEOMETRY 9 Measurement of Angles 15 PLANE GEOMETRY 21 Parallel Lines 27 Triangles 38 Quadrilaterals 60 Polygons 68 Summary 74
 Maxima and Minima 230 Summary 237 SOLID GEOMETRY 243 Dihedral Angles 257 Polyhedral Angles 267 BOOK VIII 273 Pyramids 287 Similar and Regular Polyhedrons 299

 BOOK II 83 Measurement 98 Summary 122 BOOK III 135 BOOK IV 147 Summary 167 Summary 202 BOOK VI 213
 Formulæ 305 Formulæ 325 Spherical Angles and Polygons 338 Spherical Measurements 352 Formulæ 364 Metric Tables 383 Πνευματικά δικαιώματα

### Δημοφιλή αποσπάσματα

Σελίδα 67 - 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 47 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 64 - From 56 and 57 the pupils should learn that two triangles are equal in every respect (a) when two sides and the included angle of one are equal to two sides and the included angle of the other...
Σελίδα 33 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the secant line is equal to two right angles.
Σελίδα 219 - 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.
Σελίδα 217 - The. sum of the angles of any polygon is equal to twice as many right angles as the polygon has sides, less four right angles.
Σελίδα 136 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.
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 374 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Σελίδα 176 - The area of a rectangle is equal to the product of its base and altitude. Given R a rectangle with base b and altitude a. To prove R = a X b. Proof. Let U be the unit of surface. .R axb U' Then 1x1 But - is the area of R.