A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 2
... Positive , or Affirmative Demonstration , is that which concludes with the direct and certain proof of the proposition in hand . โ This kind of De- monstration is most satisfactory to the mind ; for which reason it is called some- times ...
... Positive , or Affirmative Demonstration , is that which concludes with the direct and certain proof of the proposition in hand . โ This kind of De- monstration is most satisfactory to the mind ; for which reason it is called some- times ...
Page 79
... positive , and the rb + sa r + s other s negative , then the theorem becomes a = errors are unlike . which is the rule in this case , or when the EXAMPLE . 1. What number is that , which being POSITION . 79 Double Position.
... positive , and the rb + sa r + s other s negative , then the theorem becomes a = errors are unlike . which is the rule in this case , or when the EXAMPLE . 1. What number is that , which being POSITION . 79 Double Position.
Page 87
... the sign + , others by the sign The former are called additive , or positive terms , the latter , subtractive , or negative terms The first term of a polynomial is not in general DEFINITIONS AND NOTATION . 87 27 Addition.
... the sign + , others by the sign The former are called additive , or positive terms , the latter , subtractive , or negative terms The first term of a polynomial is not in general DEFINITIONS AND NOTATION . 87 27 Addition.
Page 127
... positive or negative . Thus , 9 a = + 3 a 2 , or 3 a 2 , for either of these quantities , when multiplied by itself ... positive or negative , is essentially positive . Thus , V9 , Aa ยท โ โ 5 , are algebraic symbols which represent ...
... positive or negative . Thus , 9 a = + 3 a 2 , or 3 a 2 , for either of these quantities , when multiplied by itself ... positive or negative , is essentially positive . Thus , V9 , Aa ยท โ โ 5 , are algebraic symbols which represent ...
Page 136
... positive ; and it is evident that , in like manner , every even power must be positive , whatever may be the sign of the original monomial , and that every uneven power will be affected with the same sign as the original monomial . Thus ...
... positive ; and it is evident that , in like manner , every even power must be positive , whatever may be the sign of the original monomial , and that every uneven power will be affected with the same sign as the original monomial . Thus ...
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Common terms and phrases
algebraic axis bisected called centre circle circumference coefficient contained Corol cosec cosine cube root curve decimal denominator denote 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 proposed equation quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root straight line Substituting subtract tangent Taylor's theorem THEOREM unknown quantity VULGAR FRACTIONS whole number yards