An Introduction to Mensuration and Practical GeometryKimber & Sharpless, 1835 - 288 страница |
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12 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 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 length less end linear side measure minute multiply the sum ordinate parabola parallel pentagon perpendicular plane polygon PROBLEM proportion pyramid quotient radius regular polygon Required the area Required the solidity right angled right line segment sine of half slant height SLIDING RULE solid content solidity required specific gravity sphere spheroid square feet square root thickness transverse diameter trapezium triangle ullage velocity versed sine water wheel wheel wine gallons yard
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Страница 119 - A sphere is a solid figure described by the revolution of a semicircle about its diameter, which remains unmoved.
Страница 7 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.
Страница 88 - ... 11.701 ft. 74. A right-angled triangle has its base 16 rods, and its perpendicular 12 rods, and a triangle is cut off from it by a line parallel to its base, of which the area is 24 rods. Required the sides of that triangle. Ans. 8, 6, and 10 rods. 75. There is a circular pond whose area is 5028f square feet, in the middle of which stood a pole 100 feet high ; now, the pole having been broken off, it was observed that the top portion resting on the stump just reached the brink of the pond. What...
Страница 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.
Страница 78 - When the quotient arising from the versed sine divided by the diameter, has a remainder or fraction after the third place of decimals ; having taken the area...
Страница 19 - Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet.
Страница 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.
Страница 260 - MECHANICAL POWERS are certain simple instruments employed in raising greater weights, or overcoming greater resistance than could be effected by the direct application of natural strength. They are usually accounted six in number; viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.
Страница 54 - To find the area of a rectangular board, whose length is 12-^ feet, and breadth 9 inches. Ans. 9f feet.
Страница 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.