# Elements of Geometry and Conic Sections

Harper, 1849 - 226 من الصفحات

### ما يقوله الناس -كتابة مراجعة

لم نعثر على أي مراجعات في الأماكن المعتادة.

### المحتويات

 General Principles 9 Ratio and Proportion 35 The Circle and the Measure of Angles 44 The Proportions of Figures 57 Problems relating to the preceding Books 83 Regular Polygons and the Area of the Circle 98 Planes and Solid Angles 112
 Polyedrons 127 Spherical Geometry 2 a 148 The Three round Bodies 166 CONIC SECTIONS 177 Ellipse 188 Hyperbola 205

### مقاطع مشهورة

الصفحة 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
الصفحة 27 - VIf two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the...
الصفحة 11 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
الصفحة 63 - IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the' rectangle contained by the parts.
الصفحة 18 - BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26.
الصفحة 10 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
الصفحة 15 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
الصفحة 17 - If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal.
الصفحة 148 - I.), that every section of a sphere made by a plane is a circle.