# Introductory Modern Geometry of Point, Ray, and Circle

Macmillan, 1893 - Geometry, Modern - 297 pages

### Contents

 25 21 140 140º 119 60366 144 212225 212
 329333 248 337343 255 Index 293

### Popular passages

Page 36 - Two triangles are congruent if two angles and the included side of one are equal respectively to two angles and the included side of the other.
Page 95 - A circle is a closed plane curve, all points of which are equidistant from a point within called the center.
Page 35 - A having two sides and the included angle of the one equal respectively to two sides and the included angle of the other are congruent.
Page 252 - The area of any polygon circumscribing a circle is equal to half the product of the radius of the circle, and the perimeter of the polygon. (Divide the polygon into triangles, with the centre for vertex.) tEx.
Page 148 - Hence it is evident, that every visible right-lined triangle, will coincide in all its parts with some spherical triangle. The sides of the one will appear equal to the sides of the other, and the angles of the one to the angles of the other, each to each •, and therefore the whole of the one triangle will appear equal to the whole of the other. In a word, to the eye they will be one and the same, and have the same mathematical properties. The properties therefore of visible right-lined triangles,...
Page 185 - The triangles on each side of the perpendicular are similar to the -whole triangle and to each other. II. The perpendicular is a mean proportional between the segments of the hypotenuse. III. Each side about the right angle is a mean proportional between the hypotenuse and the adjacent segment.