A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |
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Page 13
... equal to the dividend , when the work is right . * In this way the dividend is resolved into parts , and by trial is found how often the divisor is contained in each of those parts , one after another , arranging the several figures of ...
... equal to the dividend , when the work is right . * In this way the dividend is resolved into parts , and by trial is found how often the divisor is contained in each of those parts , one after another , arranging the several figures of ...
Page 14
... equal to the dividend , when the work is right . * In this way the dividend is resolved into parts , and by trial is found how often the divisor is contained in each of those parts , one after another , arranging the several figures of ...
... equal to the dividend , when the work is right . * In this way the dividend is resolved into parts , and by trial is found how often the divisor is contained in each of those parts , one after another , arranging the several figures of ...
Page 42
... equal to or exceeds unity . A Simple Fraction , is a single expression , denoting any number of parts of the integer ... equal to the quotient obtained by dividing the numerator by the denominator : so is equal to 3 , and is equal to 4 ...
... equal to or exceeds unity . A Simple Fraction , is a single expression , denoting any number of parts of the integer ... equal to the quotient obtained by dividing the numerator by the denominator : so is equal to 3 , and is equal to 4 ...
Page 50
... equal or unequal . If , therefore , we have two equal products 35 × 11 = 7 × 55 , we may compose from them two equal fractions , as 35 = 7 , or % = { • - If , then , we take two equal fractions , such as 7 and 35 , we shall have 35 x 11 ...
... equal or unequal . If , therefore , we have two equal products 35 × 11 = 7 × 55 , we may compose from them two equal fractions , as 35 = 7 , or % = { • - If , then , we take two equal fractions , such as 7 and 35 , we shall have 35 x 11 ...
Page 75
... equal ; then if n be a near integer or fractional value of the root , the fraction n2 + Nd2 2nd will denote one ... equal ratios , or equal differences , the equality is named Proportion , and the terms of the ratios Proportionals . So ...
... equal ; then if n be a near integer or fractional value of the root , the fraction n2 + Nd2 2nd will denote one ... equal ratios , or equal differences , the equality is named Proportion , and the terms of the ratios Proportionals . So ...
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Common terms and phrases
ABCD algebraic altitude arithmetical arithmetical progression base bisect breadth centre chord circle circumference coefficients common cone cosec cube root decimal denominator denoted diagonal diameter difference dihedral angle distance divided divisor draw drawn equal equation equiangular EXAMPLES expression figure fraction frustum geometrical given line greater hence inscribed integer intersection join length less lineation logarithms mantissa measure meeting method multiplied parallel parallel ruler parallelogram perpendicular plane polygon prism PROBLEM proportional quantity quotient radii radius ratio rectangle Reduce right angles rule Scholium segment sides sine solid angle solution square root straight line subtraction tangent THEOREM third trapezium triangle ABC u₁ vulgar fraction Whence