A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1Gilberte and Rivington, 1841 - Mathematics |
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Page v
... functions subsequent to the first deri- vative . Should such a method , in any way analogous to Horner's process for transformation , ever be invented , Sturm's theorem will become prac- tically useful : -but not till then * . Upon ...
... functions subsequent to the first deri- vative . Should such a method , in any way analogous to Horner's process for transformation , ever be invented , Sturm's theorem will become prac- tically useful : -but not till then * . Upon ...
Page viii
... functions of an arc 423 388 174 Functions of two arcs . 425 401 Exponential theorem 247 242 Particular relations of arcs ............ 427 Theory of logarithms Values of functions of arcs .. 429 Logarithmic tables Tabular theorems ...
... functions of an arc 423 388 174 Functions of two arcs . 425 401 Exponential theorem 247 242 Particular relations of arcs ............ 427 Theory of logarithms Values of functions of arcs .. 429 Logarithmic tables Tabular theorems ...
Page 1
... functions , & c . are also branches of Algebra , but of which no definite idea could be conveyed till the student's progress is considerably extended . 3. The sciences of Arithmetic and Geometry are styled the Pure Mathematics : whilst ...
... functions , & c . are also branches of Algebra , but of which no definite idea could be conveyed till the student's progress is considerably extended . 3. The sciences of Arithmetic and Geometry are styled the Pure Mathematics : whilst ...
Page 127
... literal and zero , as well as numeral , coefficients . SYNTHETIC DIVISION . WHEN one algebraic function of a quantity is to be divided by another , the coefficients of each being given in numbers , the following DIVISION . 127.
... literal and zero , as well as numeral , coefficients . SYNTHETIC DIVISION . WHEN one algebraic function of a quantity is to be divided by another , the coefficients of each being given in numbers , the following DIVISION . 127.
Page 145
... functions X , X , X , ......... . by a , b , c ... , and the quotients Q , Q ,, Q2 .. by a , ß , y ... ; and if we also denote the divisions on the left by fractions ; then we shall have those two columns converted into the following ...
... functions X , X , X , ......... . by a , b , c ... , and the quotients Q , Q ,, Q2 .. by a , ß , y ... ; and if we also denote the divisions on the left by fractions ; then we shall have those two columns converted into the following ...
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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 u₁ vulgar fraction Whence