A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |
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Page 2
... Scholium is a remark or observation made upon some foregoing pro- position or premises . 13. An Axiom , or Maxim , is a self - evident proposition ; requiring no formal demonstration to prove its truth ; but received and assented to as ...
... Scholium is a remark or observation made upon some foregoing pro- position or premises . 13. An Axiom , or Maxim , is a self - evident proposition ; requiring no formal demonstration to prove its truth ; but received and assented to as ...
Page 53
... Scholium . A rule for operations of this nature , where the first term is unity , was long in great use under the name of PRACTICE , and was broken down into a variety of separate cases adapted to the peculiar circumstances of each ...
... Scholium . A rule for operations of this nature , where the first term is unity , was long in great use under the name of PRACTICE , and was broken down into a variety of separate cases adapted to the peculiar circumstances of each ...
Page 159
... Scholium . AMONGST the examples already given in this work , the symbol + ā ā 1 as a co - efficient has appeared . This is called the imaginary symbol , and expressions into which it enters are called imaginary quantities . This ...
... Scholium . AMONGST the examples already given in this work , the symbol + ā ā 1 as a co - efficient has appeared . This is called the imaginary symbol , and expressions into which it enters are called imaginary quantities . This ...
Page 213
... Scholium . Any other proposed relations between the roots of a given equation and those of another to be determined , may be effected in an analogous manner , viz .: : by first expressing the assigned relation between x and y ...
... Scholium . Any other proposed relations between the roots of a given equation and those of another to be determined , may be effected in an analogous manner , viz .: : by first expressing the assigned relation between x and y ...
Page 218
... Scholium . -- The same kind of reasoning will prove , that if one root be of the form a + b , there will be another of the form a b . For the same reason will exist for the separate bracketted coefficients being zero in this case as in ...
... Scholium . -- The same kind of reasoning will prove , that if one root be of the form a + b , there will be another of the form a b . For the same reason will exist for the separate bracketted coefficients being zero in this case as in ...
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Common terms and phrases
ABCD algebraic altitude arithmetical arithmetical progression base bisect breadth centre chord circle circumference coefficients common cone cosec cube root decimal denominator denoted diagonal diameter difference dihedral angle distance divided divisor draw drawn equal equation equiangular EXAMPLES expression figure fraction frustum geometrical given line greater hence inscribed integer intersection join length less lineation logarithms mantissa measure meeting method multiplied parallel parallel ruler parallelogram perpendicular plane polygon prism PROBLEM proportional quantity quotient radii radius ratio rectangle Reduce right angles rule Scholium segment sides sine solid angle solution square root straight line subtraction tangent THEOREM third trapezium triangle ABC uā vulgar fraction Whence