An Introduction to Mensuration and Practical GeometryThomas, Cowperthwait & Company, 1848 - 288 pages |
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Common terms and phrases
12 feet 20 feet 9 inches ABCD abscissa ADBA altitude Avoirdupois axis base Bisect breadth cask centre chord of half circumference cone conjugate diameter convex surface cube root cubic inches cylinder decimal Demon describe the arc diagonal distance divided draw the line ellipse equal EXAMPLES feet 6 inches feet 9 figure find the area find the solidity fluxion foot frustrum girth give the solidity given line greater end half the arc head diameter horse power hyperbola hypothenuse length less end linear side measure minute ordinate parabola parallel pentagon perpendicular plane polygon PROBLEM pyramid quotient radius regular polygon Required the area Required the solidity right line segment slant height SLIDING RULE solid content solidity required specific gravity sphere spheroid square feet square root thickness transverse diameter trapezium ullage velocity versed sine water wheel wheel wine gallons yard
Popular passages
Page 50 - The areas of circles are to each other as the squares of their diameters.
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 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 94 - As the conjugate diameter is to the transverse, so is the square root of the difference of the squares of the ordinate and...
Page 56 - Multiply the half sum and the three remainders continually together, and the square root of the product will be the area...
Page 14 - 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. 11. An obtuse angle is that which is greater than a right angle. 12. An acute angle is that which is less than a right angle. 13. A term or boundary is the extremity of any thing.
Page 275 - ... known, by dividing the effect it ought to produce in a given time by the space intended to be described by the circumference of the wheel in the same time : the quotient will be the resistance overcome at the circumference of the wheel ; and is equal to the load required, the friction and resistance of the machinery included.
Page 255 - It is determined, we find, as a certain fraction of the length of a pendulum vibrating seconds in the latitude of London.
Page 155 - RULE.* To the square of the radius of the base add the square of the middle diameter between...
Page 215 - Weigh the denser body and the compound mass, separately, both in water, and out of it ; then find how much each loses in water, by subtracting its weight in water from its weight in air ; and subtract the less of these remainders from the greater. Then...