A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 1
... Problem . 6. A Theorem is a demonstrative proposition ; in which some property is asserted , and the truth of it required to be proved . Thus , when it is said that , The sum of the three angles of any triangle , is equal to two right ...
... Problem . 6. A Theorem is a demonstrative proposition ; in which some property is asserted , and the truth of it required to be proved . Thus , when it is said that , The sum of the three angles of any triangle , is equal to two right ...
Page 2
... Problem is that which has in- And a Determinate Problem is that which has a certain 8. Solution of a problem , is the resolution or answer given to it . A Nume- rical or Numeral Solution , is the answer given in numbers . A Geometrical ...
... Problem is that which has in- And a Determinate Problem is that which has a certain 8. Solution of a problem , is the resolution or answer given to it . A Nume- rical or Numeral Solution , is the answer given in numbers . A Geometrical ...
Page 39
... PROBLEM . To find the greatest common measure of two or more numbers . THE Common Measure of two or more numbers , is that number which will divide them both without a remainder : so 3 is a common measure of 18 and 24 ; the quotient of ...
... PROBLEM . To find the greatest common measure of two or more numbers . THE Common Measure of two or more numbers , is that number which will divide them both without a remainder : so 3 is a common measure of 18 and 24 ; the quotient of ...
Page 81
... Problem , whose object is to discover certain numbers which are unknown , by means of other numbers which are known , and which bear a relation to the unknown numbers , indicated by the conditions of the problem . 2. The principal ...
... Problem , whose object is to discover certain numbers which are unknown , by means of other numbers which are known , and which bear a relation to the unknown numbers , indicated by the conditions of the problem . 2. The principal ...
Page 110
... problem is now reduced to finding the greatest common measure of B and R1 . If B be exactly divisible by R1 , it is manifest that R1 is the greatest common measure required ; but , if not , let B when divided by R give a quotient - q 2 ...
... problem is now reduced to finding the greatest common measure of B and R1 . If B be exactly divisible by R1 , it is manifest that R1 is the greatest common measure required ; but , if not , let B when divided by R give a quotient - q 2 ...
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Common terms and phrases
algebraic algebraic quantities altitude axis base bisected body centre chord circle circumference co-ordinates Corol cosec cosine cube curve decimal denominator diameter difference differential co-efficient distance divide divisor draw equal equation Example exponent expression extract feet figure force fraction given gravity Hence hyperbola inches latus rectum least common multiple length logarithm manner monomial multiply nth root number of terms parabola parallel parallelogram perpendicular polynomial positive Prob PROBLEM PROP proportional quotient radius ratio rectangle reduced right angles rule sides sine specific gravity square root straight line Substituting subtract tangent THEOREM triangle ABC unknown quantity velocity VULGAR FRACTIONS weight whole number yards