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
Results 6-10 of 83
Page 103
... coefficient . Moreover it may be remarked that cases of algebraical investigation sometimes present themselves in which even the symbols of the unknown quantities are conveniently considered as coefficients : but these will be pointed ...
... coefficient . Moreover it may be remarked that cases of algebraical investigation sometimes present themselves in which even the symbols of the unknown quantities are conveniently considered as coefficients : but these will be pointed ...
Page 106
... coefficient , the root of that is either actually extracted or indicated like the rest ; as in the square root of 25a1 we may either put 251a2 or 5a2 . Most commonly the numerical root is actually extracted when the given number admits ...
... coefficient , the root of that is either actually extracted or indicated like the rest ; as in the square root of 25a1 we may either put 251a2 or 5a2 . Most commonly the numerical root is actually extracted when the given number admits ...
Page 108
... coefficient such a power of 10 as will raise or lower it to its proper locality in the decimal scale . Thus to repre- sent 5305-2906 without employing the artifice of local value , we must write it thus : 5 × 103 + 3 x 102 + 0 × 101 + 5 ...
... coefficient such a power of 10 as will raise or lower it to its proper locality in the decimal scale . Thus to repre- sent 5305-2906 without employing the artifice of local value , we must write it thus : 5 × 103 + 3 x 102 + 0 × 101 + 5 ...
Page 113
... coefficients into one sum , and all the negative ones into another , when there are several of a kind : then subtract the less sum , or the less coefficient , from the greater , and to the remainder prefix the sign of the greater , and ...
... coefficients into one sum , and all the negative ones into another , when there are several of a kind : then subtract the less sum , or the less coefficient , from the greater , and to the remainder prefix the sign of the greater , and ...
Page 115
... coefficients of this In this case their sums will assume a compound form : as in the following examples . one . 2ax + 3by2 cdx + 8ady2 6bx cy2 - ax + 3dy2 - 2by 3dx - by2 + 4my ( 2a + cd - 6b ) x + ( 3b + 8ad — c ) y2 ( a - 3d ) x + ...
... coefficients of this In this case their sums will assume a compound form : as in the following examples . one . 2ax + 3by2 cdx + 8ady2 6bx cy2 - ax + 3dy2 - 2by 3dx - by2 + 4my ( 2a + cd - 6b ) x + ( 3b + 8ad — c ) y2 ( a - 3d ) x + ...
Other editions - View all
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