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
... former editions has often been a subject of complaint . In the artificers ' work and land surveying no changes are made in this edition , but a com- plete revision of them will be given hereafter , —and , but for practical obstacles ...
... former editions has often been a subject of complaint . In the artificers ' work and land surveying no changes are made in this edition , but a com- plete revision of them will be given hereafter , —and , but for practical obstacles ...
Page 4
... former value . Thus , in the number 1796 , the 6 in the first place denotes only six units , or simply six ; 9 in the second place signifies nine tens , or ninety ; 7 in the third place , seven hundred ; and the 1 in the fourth place ...
... former value . Thus , in the number 1796 , the 6 in the first place denotes only six units , or simply six ; 9 in the second place signifies nine tens , or ninety ; 7 in the third place , seven hundred ; and the 1 in the fourth place ...
Page 7
... former . * - * This method of proof depends on a property of the number 9 , which , except the number 3 , belongs to no other digit whatever ; namely , that " any number divided by 9 , will leave the same remainder as the sum of its ...
... former . * - * This method of proof depends on a property of the number 9 , which , except the number 3 , belongs to no other digit whatever ; namely , that " any number divided by 9 , will leave the same remainder as the sum of its ...
Page 8
... former excesses , it is plain that this last excess must be equal to the excess of 9s contained in the total sum of all these numbers ; all the parts taken together being equal to the whole . - This rule was first given by Dr. Wallis in ...
... former excesses , it is plain that this last excess must be equal to the excess of 9s contained in the total sum of all these numbers ; all the parts taken together being equal to the whole . - This rule was first given by Dr. Wallis in ...
Page 11
... former in the same 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 ...
... former in the same 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 ...
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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