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 79
... equal or unequal , we must reduce them to a common denominator , and we shall have 6 x 7 , and 14 x 3 for the two numerators . If these are equal , the fractions or ratios are equal . Therefore , THEOREM 1. If four quantities be in ...
... equal or unequal , we must reduce them to a common denominator , and we shall have 6 x 7 , and 14 x 3 for the two numerators . If these are equal , the fractions or ratios are equal . Therefore , THEOREM 1. If four quantities be in ...
Page 75
... equal ; then if n be a near integer or fractional value of the root , n2 + Nd2 2nd the fraction 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 , n2 + Nd2 2nd the fraction will denote one ... equal ratios , or equal differences , the equality is named Proportion , and the terms of the ratios Proportionals . So ...
Page 79
... equal or unequal , we must reduce them to a common denominator , and we shall have 6 x 7 , and 14 x 3 for the two numerators . If these are equal , the fractions or ratios are equal . Therefore , THEOREM 1. If four quantities be in ...
... equal or unequal , we must reduce them to a common denominator , and we shall have 6 x 7 , and 14 x 3 for the two numerators . If these are equal , the fractions or ratios are equal . Therefore , THEOREM 1. If four quantities be in ...
Page 104
... equal to , " and is generally read equals . " It is used to signify that the value of the aggregate of the terms which precede it is equal to the value of the aggregate of those which follow it . The whole expression is called an ...
... equal to , " and is generally read equals . " It is used to signify that the value of the aggregate of the terms which precede it is equal to the value of the aggregate of those which follow it . The whole expression is called an ...
Page 109
... equal to half the product last mentioned . 5. The sum of two unknown numbers is equal to the cube of the of their product ; and their difference is equal to 10 . square root 6. The number 6 is subtracted from 5 , and the square root of ...
... equal to half the product last mentioned . 5. The sum of two unknown numbers is equal to the cube of the of their product ; and their difference is equal to 10 . square root 6. The number 6 is subtracted from 5 , and the square root of ...
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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