# Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrture of the Circle and the Geometry of Solids; to which are Added, Elements of Plane and Spherical Trigonometry

Bell & Bradfute, 1836 - Euclid's Elements - 471 pages

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### Contents

 Section 1 iii Section 2 18 Section 3 19 Section 4 21 Section 5 22 Section 6 65 Section 7 123 Section 8 134
 Section 19 307 Section 20 308 Section 21 309 Section 22 318 Section 23 325 Section 24 326 Section 25 336 Section 26 345

 Section 9 142 Section 10 143 Section 11 169 Section 12 200 Section 13 213 Section 14 221 Section 15 245 Section 16 267 Section 17 296 Section 18 303
 Section 27 376 Section 28 393 Section 29 405 Section 30 416 Section 31 447 Section 32 450 Section 33 454 Section 34 466 Section 35 469

### Popular passages

Page 56 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Page 24 - If two triangles have two sides of the one equal to two sides of the...
Page 44 - Wherefore, if a straight line, &c. QED PROP. XXIX. THEOR. s«e N. Ij'a straight line fall upon two parallel straight lines, it makes the alternate angles equal...
Page 72 - THEOR. //' a straight line be divided into two equal, and also into two unequal parts, the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section.
Page 82 - An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the segment to the extremities of the straight . line which is the base of the segment.
Page 409 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Page 110 - 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.
Page 116 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Page 52 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Page 47 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are equal to two right angles.