An Introduction to Mensuration and Practical Geometry

Thomas, Cowperthwait & Company, 1848 - Geometry - 288 pages

Popular passages

Page 14 - A sector is any part of a circle bounded by an arc, and two radii drawn to its extremities. A quadrant, or quarter of a circle...
Page 48 - The areas of circles are to each other as the squares of their diameters.
Page 18 - In a right-angled triangle, the side opposite to the right angle, is called the hypothenuse ; and the other two sides are called the legs, and sometimes the base and perpendicular : thus, A, B is the base, B, C perpendicular, and A, C hypothenuse.
Page 17 - Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet.
Page 123 - To find the solidity of a cylinder. RULE. — Multiply the area of the base by the altitude, and the product will be the solidity.
Page 19 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Page 64 - Ans. 20.3718. troublesome and laborious that it must have cost him incredible pains. It is said to have been thought so curious a performance, that the numbers were cut on his tomb-stone in St. Peter's Church-yard, at Leyden.
Page 94 - As the conjugate diameter is to the transverse, So is the square root of the difference of the squares of the ordinate and semi-conjugate, To the distance between the ordinate and centre.
Page 155 - To find the solidity of an hyperboloid. RULE.* To the square of the radius of the base add the square of the middle diameter between the base and the vertex ; and this sum multiplied by the altitude, and the product again by .5236, will give the solidity.
Page 13 - The radius of a circle is a right line drawn from the centre to the circumference.