An Introduction to Mensuration and Practical GeometryKimber & Sharpless, 1835 - 288 σελίδες |
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Σελίδα 121
... solidity of a cube , the height of one of its sides being given . RULE . * Multiply the side of the cube by itself , and that product again by the side , and it will give the solidity required . EXAMPLES . 1. The side AB , or BC , of ...
... solidity of a cube , the height of one of its sides being given . RULE . * Multiply the side of the cube by itself , and that product again by the side , and it will give the solidity required . EXAMPLES . 1. The side AB , or BC , of ...
Σελίδα 122
... solidity required . EXAMPLES . 1. Required the solidity of a parallelopipedon ABCD FEHG , whose length AB is 8 feet , its breadth FD 44 feet , and the depth or altitude AD 63 feet ? F E C D ¡ H G A the square of the side of the base ...
... solidity required . EXAMPLES . 1. Required the solidity of a parallelopipedon ABCD FEHG , whose length AB is 8 feet , its breadth FD 44 feet , and the depth or altitude AD 63 feet ? F E C D ¡ H G A the square of the side of the base ...
Σελίδα 123
... required . 2. The length of a parallelopipedon is 15 feet , and each side of its square base 21 inches : what is the solidity ? Ans 45.9375 feet . of marble , whose 3. What is the solidity of a block length is 10 feet , its breadth 5 ...
... required . 2. The length of a parallelopipedon is 15 feet , and each side of its square base 21 inches : what is the solidity ? Ans 45.9375 feet . of marble , whose 3. What is the solidity of a block length is 10 feet , its breadth 5 ...
Σελίδα 124
... required . 2. What is the solidity of a triangular prism , whose length is 18 feet , and one side of the equilateral end 14 feet ? Ans . 17.5370265 feet . 3. Required the solidity of a prism whose base is a hexa- gon , supposing each of ...
... required . 2. What is the solidity of a triangular prism , whose length is 18 feet , and one side of the equilateral end 14 feet ? Ans . 17.5370265 feet . 3. Required the solidity of a prism whose base is a hexa- gon , supposing each of ...
Σελίδα 125
... required . 2. What is the convex surface of a right cylinder , the diameter of whose base is 30 inches , and the ... solidity of a cylinder . RULE . * Multiply the area of the base by the perpendicular height of the cylinder , and the product ...
... required . 2. What is the convex surface of a right cylinder , the diameter of whose base is 30 inches , and the ... solidity of a cylinder . RULE . * Multiply the area of the base by the perpendicular height of the cylinder , and the product ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 119 - A sphere is a solid figure described by the revolution of a semicircle about its diameter, which remains unmoved.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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...
Σελίδα 19 - Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet.
Σελίδα 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.
Σελίδα 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.
Σελίδα 54 - To find the area of a rectangular board, whose length is 12-^ feet, and breadth 9 inches. Ans. 9f feet.
Σελίδα 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.