An Introduction to Mensuration and Practical Geometry |
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Common terms and phrases
9 inches ABCD abscissa added angle axis base body breadth called centre chord circle circumference cone conjugate contained convex cube cubic curve cutting cylinder decimal Demon depth describe diameter difference dimensions distance divided double draw ellipse engine equal EXAMPLES feet 6 inches figure find the area foot formed fraction frustrum gallons girth give given greater half half the arc height horse length less mean measure middle minute Multiply nearly Note opposite ordinate parallel perpendicular plane polygon pressure PROBLEM proportion pyramid quotient radius Required the area right angled roof rule segment side similar solidity sphere square root stands superficies supposing surface taken thickness third transverse diameter triangle twice versed sine wall wheel whole wine yard
Popular passages
Page 16 - 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 50 - The areas of circles are to each other as the squares of their diameters.
Page 20 - 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 19 - Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet.
Page 125 - 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 21 - 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 66 - 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 96 - 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 157 - 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 15 - The radius of a circle is a right line drawn from the centre to the circumference.
Bibliographic information
| Title | An Introduction to Mensuration and Practical Geometry |
| Author | John Bonnycastle |
| Translated by | James Ryan |
| Publisher | Thomas, Cowperthwait & Company, 1848 |
| Original from | the University of Michigan |
| Digitized | 11 Jun 2007 |
| Length | 288 pages |
| Export Citation | BiBTeX EndNote RefMan |