Elementary Practical MathematicsMacmillan and Company, Limited, 1899 - 404 páginas |
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Página 16
... common experience that the weights of equal volumes of different substances are not the same . For example , three balls or cubes of the same volume , but made of wood , iron , and lead respec- tively , would , when placed in a balance ...
... common experience that the weights of equal volumes of different substances are not the same . For example , three balls or cubes of the same volume , but made of wood , iron , and lead respec- tively , would , when placed in a balance ...
Página 41
... Common Measure . The greatest number which is contained an exact number of times in each of two or more given numbers is called their Greatest Common Measure , or , as usually written , G.C.M. Thus , to find the G.C.M. of the numbers 45 ...
... Common Measure . The greatest number which is contained an exact number of times in each of two or more given numbers is called their Greatest Common Measure , or , as usually written , G.C.M. Thus , to find the G.C.M. of the numbers 45 ...
Página 42
... common factor which can be found before any division is made . This common factor must be included in the G.C.M. When the G.C.M. of more than two numbers is required , the G.C.M. of two may be found , and afterwards the G.C.M. of the ...
... common factor which can be found before any division is made . This common factor must be included in the G.C.M. When the G.C.M. of more than two numbers is required , the G.C.M. of two may be found , and afterwards the G.C.M. of the ...
Página 43
... Common Multiple of the given numbers and is usually written L.C.M. The L.C.M. of two numbers can be found by resolving the numbers into their prime factors . Select the highest powers of each prime factor which occurs in these products ...
... Common Multiple of the given numbers and is usually written L.C.M. The L.C.M. of two numbers can be found by resolving the numbers into their prime factors . Select the highest powers of each prime factor which occurs in these products ...
Página 44
... common factors 2 × 2 × 3 = 12 . The L.C.M. = 1920 × 32 × 7 = 120960 . EXERCISES . Find the Least Common Multiples of V. 1. 15 , 20 , 24 , 30 . 2. 24 , 11 , 16 , 33 , 48 . 4. 192 , 204 , 272 . 5. 165 , 198 , 270 . 7. 14003 , 11591 . 9 ...
... common factors 2 × 2 × 3 = 12 . The L.C.M. = 1920 × 32 × 7 = 120960 . EXERCISES . Find the Least Common Multiples of V. 1. 15 , 20 , 24 , 30 . 2. 24 , 11 , 16 , 33 , 48 . 4. 192 , 204 , 272 . 5. 165 , 198 , 270 . 7. 14003 , 11591 . 9 ...
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Términos y frases comunes
algebraical angular velocity arithmetical axis base calculate called cent centimetre centre of gravity circle circumference cosine cubic centimetre cubic foot curve cylinder decimal denominator denote diameter distance divided division Draw equal equation EXERCISES expression factors feet figure Find the area find the number Find the value foot force fraction frustum funicular given number Hence horizontal line inclined intersection joining logarithms magnitude mantissa mass means measure method moment of inertia multiplied number of units numerical value obtained ordinates parallel parallelogram perpendicular planes of projection polygon protractor quantity radians radius ratio rectangle represented result rhombus right angles scale sides similar manner Simpson's rule sine slide slide rule specific gravity square inches square root squared paper straight line subtract surface tangent unit of length vectors velocity vertical volume weight yard
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Página 16 - Therefore, the specific gravity of a solid or a liquid body is the ratio of its weight to the weight of an equal volume of water...
Página 228 - Of four-sided figures, a square is that which has all its sides equal, and all its angles right angles.
Página 310 - But we know that a force may be represented in a purely graphical manner by a straight line in the direction of the force containing as many units of length as there are units of force in the force. The end of this line is marked with an arrow head to show in which direction the force acts. According to this method each force is drawn in its proper position in the diagram of configuration of the frame. Such a diagram might be useful as a record of the result of calculation of the magnitude...
Página 230 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Página 45 - If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change. This is because a fraction b/b, b being any number, is equal to the multiplicative identity, 1 . Therefore, Hx8.= 88 _5_x!
Página 70 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
Página 147 - If the given number is greater than 1, make the characteristic of its logarithm one less than the number of figures to the left of the decimal point in the number.
Página 377 - GENERAL INSTRUCTIONS. — If the rules are not attended to the paper will be cancelled. — You may take the Elementary, or the Advanced, or the Honours paper, but you must confine yourself to one of them.
Página 149 - The logarithm of the quotient of two positive numbers is found by subtracting the logarithm of the divisor from the logarithm of the dividend. (6) The logarithm of a power of a positive number is found by multiplying the logarithm of the number by the exponent of the power. For, N" = (oT)
Página 175 - From the top of a hill the angles of depression of two successive milestones, on a straight level road leading to the hill, are observed to be 5° and 15°.