A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1Gilberte and Rivington, 1841 - Mathematics |
From inside the book
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Page 7
... remainder towards the right hand directly even with the figures in the line , as in the annexed example . Do the same with each of the proposed lines of numbers , setting all these excesses of nines in a column on the right hand , as ...
... remainder towards the right hand directly even with the figures in the line , as in the annexed example . Do the same with each of the proposed lines of numbers , setting all these excesses of nines in a column on the right hand , as ...
Page 8
... remainder , by taking the less from the greater . The method of doing which is as follows : Place the less number under the greater , in the same manner as in Addition , that is , units under units , tens under tens , and so on ; and ...
... remainder , by taking the less from the greater . The method of doing which is as follows : Place the less number under the greater , in the same manner as in Addition , that is , units under units , tens under tens , and so on ; and ...
Page 9
... remainder , and carrying 1 , for what was borrowed , to the next lower figure , with which proceed as before ; and so on till the whole is finished . TO PROVE SUBTRACTION . Add the remainder to the less number , or that which is just ...
... remainder , and carrying 1 , for what was borrowed , to the next lower figure , with which proceed as before ; and so on till the whole is finished . TO PROVE SUBTRACTION . Add the remainder to the less number , or that which is just ...
Page 10
... remainder directly under the figure that is multiplied ; and if nothing remains , set down a cipher . Carry as many units or ones as there are tens counted , to the product of the next figures ; and proceed in the same manner till the ...
... remainder directly under the figure that is multiplied ; and if nothing remains , set down a cipher . Carry as many units or ones as there are tens counted , to the product of the next figures ; and proceed in the same manner till the ...
Page 11
... remainders . Multiply these two remainders together , and cast the 9s out of the product , as also out of the whole product or answer of the question , reserving the remainders of these last two , which remainders must be equal when the ...
... remainders . Multiply these two remainders together , and cast the 9s out of the product , as also out of the whole product or answer of the question , reserving the remainders of these last two , which remainders must be equal when 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