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 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 symbols ...
... 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 symbols ...
Page 110
... problem is now reduced to finding the greatest common measure of B and R 1. 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 R 1. 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 ...
Page 208
... PROBLEMS WHICH PRODUCE SIMPLE EQUATIONS . 159. Every problem which can be solved by Algebra , includes in its enunciation a certain number of conditions , by which we are enabled to detect the relations which the unknown quantities bear ...
... PROBLEMS WHICH PRODUCE SIMPLE EQUATIONS . 159. Every problem which can be solved by Algebra , includes in its enunciation a certain number of conditions , by which we are enabled to detect the relations which the unknown quantities bear ...
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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 dy dx 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 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