# Plane and Solid Geometry

American Book Company, 1899 - 384 σελίδες
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### Περιεχόμενα

 GEOMETRY 9 of the page in Books I and II except the numerical ones be employed 11 Measurement of Angles 15 PLANE GEOMETRY 21 Parallel Lines 27 Triangles 33 Triangles 38 Quadrilaterals 60
 Summary 202 BOOK VI 213 Maxima and Minima 230 Summary 237 Planes and Solid Angles 243 Dihedral Angles 257 Polyhedral Angles 267 BOOK VIII 273

 Polygons 68 Summary 74 BOOK II 83 Measurement 98 Summary 122 Ratio and Proportion 135 bottom of the page is required the students should be referred to 136 Proportional Lines and Similar Figures 147 Summary 167 Area and Equivalence 173
 Formulæ 299 BOOK IX 309 BOOK X 327 Spherical Angles and Polygons 338 Spherical Measurements 352 Formulæ 364 135 377 Metric Tables 383 Πνευματικά δικαιώματα

### Δημοφιλή αποσπάσματα

Σελίδα 103 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 147 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Σελίδα 65 - 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 45 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 62 - 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 59 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Σελίδα 81 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Σελίδα 45 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 31 - 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 88 - 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.