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 vi
... manner , and en- tirely to exclude all matters of mere scientific curiosity , has been my guid- ing principle in the composition of these chapters . Trigonometry , there- fore , instead of forming two separate treatises in two ...
... manner , and en- tirely to exclude all matters of mere scientific curiosity , has been my guid- ing principle in the composition of these chapters . Trigonometry , there- fore , instead of forming two separate treatises in two ...
Page 7
... manner as the first : and thus proceed till the whole is finished , setting down the total amount of the last row . TO PROVE ADDITION . First Method . - Begin at the top , and add together all the rows of numbers downwards , in the same ...
... manner as the first : and thus proceed till the whole is finished , setting down the total amount of the last row . TO PROVE ADDITION . First Method . - Begin at the top , and add together all the rows of numbers downwards , in the same ...
Page 8
... manner as in Addition , that is , units under units , tens under tens , and so on ; and draw a line below them . Begin at the right hand , and take each figure in the lower line , or num- ber , from the figure above it , setting down ...
... manner as in Addition , that is , units under units , tens under tens , and so on ; and draw a line below them . Begin at the right hand , and take each figure in the lower line , or num- ber , from the figure above it , setting down ...
Page 10
... manner till the whole is finished . EXAMPLE . Multiply 9876543210 , the Multiplicand . By - 2 , the Multiplier . 19753086420 , the Product . * The reason of this rule 5678 the same as for the process in Addition , in which 1 is carried ...
... manner till the whole is finished . EXAMPLE . Multiply 9876543210 , the Multiplicand . By - 2 , the Multiplier . 19753086420 , the Product . * The reason of this rule 5678 the same as for the process in Addition , in which 1 is carried ...
Page 11
... manner as before . Then if the product found in this way be the same as the former , the number is right . Second Method . † Cast all the 9s out of the sum of the figures in each of the two factors , as in Addition , and set down the ...
... manner as before . Then if the product found in this way be the same as the former , the number is right . Second Method . † Cast all the 9s out of the sum of the figures in each of the two factors , as in Addition , and set down the ...
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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