A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 2
... quantities that are each of them equal to a third quantity, are equal to each other. 13. A Postulate, or Petition, is something required to be done, which is so easy and evident that no person will hesitate to allow it. 14. An ...
... quantities that are each of them equal to a third quantity, are equal to each other. 13. A Postulate, or Petition, is something required to be done, which is so easy and evident that no person will hesitate to allow it. 14. An ...
Page 43
... quantities are integers , or mixed numbers , or compound fractions , they must be reduced , by their proper rules , to the form of simple fractions . • The truth of this rule may be shown as follows : Let the compound fraction be 3 of ...
... quantities are integers , or mixed numbers , or compound fractions , they must be reduced , by their proper rules , to the form of simple fractions . • The truth of this rule may be shown as follows : Let the compound fraction be 3 of ...
Page 69
... quantities be in geometrical proportion , the product of the two extremes will be equal to the product of the two means . Thus , in the four 2 , 4 , 3 , 6 , it is 2 × 6 = 3 × 4 = 12 . And hence , if the product of the two means be ...
... quantities be in geometrical proportion , the product of the two extremes will be equal to the product of the two means . Thus , in the four 2 , 4 , 3 , 6 , it is 2 × 6 = 3 × 4 = 12 . And hence , if the product of the two means be ...
Page 87
... quantities together , viz.:- vinculum or bar parentheses ( braces or brackets Thus m + n . x , or ( m + n ) x signifies that the quantity denoted by m + n is to be multiplied by a , and { = + multiplied by m n P { + } { - } signifies ...
... quantities together , viz.:- vinculum or bar parentheses ( braces or brackets Thus m + n . x , or ( m + n ) x signifies that the quantity denoted by m + n is to be multiplied by a , and { = + multiplied by m n P { + } { - } signifies ...
Page 88
... quantities into one term or sum , and the connecting of dissimilar quantities by their respective signs . The rule of addition may be divided into two cases : ― ( 1 ) When the quantities are similar , and have the same signs . ( 2 ) ...
... quantities into one term or sum , and the connecting of dissimilar quantities by their respective signs . The rule of addition may be divided into two cases : ― ( 1 ) When the quantities are similar , and have the same signs . ( 2 ) ...
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Common terms and phrases
algebraic axis bisected centre chord ciphers circle circumference co-ordinates coefficient contained Corol cosec cosine cube root curve decimal denominator denotes diameter difference differential co-efficient distance Divide dividend division divisor draw dy dx equal EXAMPLES exponent expression extract factors feet figure fraction given number greater greatest common measure Hence hyperbola inches latus rectum least common multiple logarithm manner monomial Multiply negative nth root number of terms parallel parallelogram perpendicular plane polynomial positive Prob PROBLEM Prop proportional quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root straight line substitute subtract tangent THEOREM unknown quantity VULGAR FRACTIONS whole number yards