A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 2
... Negative Demonstration, is that which shows a proposition to be true, by proving that some absurdity would necessarily follow if the proposition advanced were false. This is also sometimes called Reductio ad Absurdum ; because it shows ...
... Negative Demonstration, is that which shows a proposition to be true, by proving that some absurdity would necessarily follow if the proposition advanced were false. This is also sometimes called Reductio ad Absurdum ; because it shows ...
Page 4
... Negative Demonstration , is that which shows a proposi- tion to be true , by proving that some absurdity would necessarily follow if the proposition advanced were false . This is also sometimes called Reductio ad Absurdum ; because it ...
... Negative Demonstration , is that which shows a proposi- tion to be true , by proving that some absurdity would necessarily follow if the proposition advanced were false . This is also sometimes called Reductio ad Absurdum ; because it ...
Page 79
... negative ; hence — r : - 8 :: x — α : x — b , but - r : — 8 : + r : + s , therefore r : s :: x - a : x- b , and the rest will be exactly as in the former case . But if one result A only be too little , and the other B be too great , or ...
... negative ; hence — r : - 8 :: x — α : x — b , but - r : — 8 : + r : + s , therefore r : s :: x - a : x- b , and the rest will be exactly as in the former case . But if one result A only be too little , and the other B be too great , or ...
Page 87
... , some are preceded by 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.
... , some are preceded by 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.
Page 100
... negative exponents , see a subsequent article . 18. In multiplication , the product of two terms , having the same sign , is affected with the sign + ; and the product of two terms , having different signs , is affected with the sign ...
... negative exponents , see a subsequent article . 18. In multiplication , the product of two terms , having the same sign , is affected with the sign + ; and the product of two terms , having different signs , is affected with the sign ...
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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