# Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement on the Quadrature of the Circle and the Geometry of Solids ...

J. Eastburn & Company, 1819 - 317 pages

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### Contents

 Section 1 ii Section 2 iii Section 3 17 Section 4 19 Section 5 27 Section 6 53 Section 7 66 Section 8 93
 Section 15 167 Section 16 180 Section 17 192 Section 18 209 Section 19 215 Section 20 229 Section 21 265 Section 22 283

 Section 9 124 Section 10 139 Section 11 152 Section 12 153 Section 13 158 Section 14 163
 Section 23 304 Section 24 320 Section 25 330 Section 26 331 Section 27

### Popular passages

Page 151 - If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle...
Page 17 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Page 31 - THE greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.
Page 292 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Page 306 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 34 - IF two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base of that which has the greater angle shall be greater than the base of the other.
Page xvi - 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.
Page 76 - To draw a straight line from a given point, either without or in the circumference, which shall touch a given circle. First, let A be a given point without the given circle BCD : it is required to draw a straight line from A which shall touch the circle.
Page 75 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...
Page 37 - If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the too interior angles upon the same side together equal to two right angles.