Steam acting Expansively 214 Bricks, Laths, &c... 243 Hay... 243 Weight of Square Rolled Iron...... 246 Weight of Round Rolled Iron...... 247 Weight of Flat Rolled Iron........ 248 Weight of Cast Iron Pipes......... 252 224 Weight of Cast Iron and Lead Balls 255 Recapitulation of Weights of Vari- EXPLANATIONS OF THE CHARACTERS USED IN THE FOLLOWING TABLES AND CALCULATIONS. = Equal to, as, 12 inches = 1 foot, or 8×8=16×4. + Plus, or more, signifies addition; as, 4+6+5=15. Minus, or less, signifies subtraction; as, 15-5 = 10. × Multiplied by, or into, signifies multiplication; as, 8×9=72. ÷ Divided by, signifies division; as, 72-98. : Is to :: is SO : to ; as, 2:4::8:16; that is, as 2 is to 4 so is 8 Proportion; to 16. ✓ Prefixed to any number signifies that the square root of that number is required; as, √16=4; 16 that is, 4×4=16. Signifies that the cube root of that number is required; as, 644; that is, 4×4×4 = 64. 2 added to a number signifies that that number is to be squared ; thus, 42, means that 4 is to be multiplied by 4. 3 added to a number signifies that that number is to be cubed; thus, 43, is = 4×4×4=64. The power, or number of times a number is to be multiplied by itself is shown by the number added; as, 2345, &c. The bar signifies that the numbers are to be taken together ; as, 8-2+6=12, or 3×5+3=24. Decimal point, signifies when prefixed to a number, that that number has a unit (1) for its denominator; as, .1 is, 155 is 155, &c. 1000, - Signifies difference, and is placed between two quantities when it is not evident which of them is the greater. Degrees, minutes, "seconds, '"' thirds. < Signifies angle. a, a, a, &c., denote inverse powers of a, and are equal al' a' a' 7 Is put between two quantities to express that the former is greater than the latter; as, a7b, reads a greater than b. L Signifies the reverse; as, a Lb, reads a less than b. () Parentheses are used to show that all the figures within them are to be operated upon as if they were only one; thus, (3+2)×5=25. pis used to express the ratio of the circumference of a circle to its diameter = 3.1415926, &c. A A' A" A" signifies A, A prime, A second, A third, &c. axd, a.d, or ad, signifies that a is to be multiplied by d. Note. The degrees of temperature used in this work are those of Fahrenheit. |