Key to System of practical mathematics. 2 pt. No.xvii |
Inni boken
Resultat 1-5 av 53
Side 4
... that the result may be of the same form as that derived from actual multiplication , we write , first the square of the first quantity ; second , twice the product of the two quantities ; and , third , the 4 KEY - ALGEBRA .
... that the result may be of the same form as that derived from actual multiplication , we write , first the square of the first quantity ; second , twice the product of the two quantities ; and , third , the 4 KEY - ALGEBRA .
Side 5
Scottish school-book assoc. of the two quantities ; and , third , the square of the second quantity ; observing always , that if any of the quantities have coefficients , they must be squared and multiplied along with them ; hence ( x + ...
Scottish school-book assoc. of the two quantities ; and , third , the square of the second quantity ; observing always , that if any of the quantities have coefficients , they must be squared and multiplied along with them ; hence ( x + ...
Side 13
... third re- quires no change ; hence 2a3 + a2x + a2 + 22 + a3 - 23 X x2 - 4x and X x + 4 -16 a3 — ax2 a3 + a2x + ax2 , a2 + x2 + a3-23 a3 - x3 a3 x x + 4 x2 + 4x ( 4. ) X = x + 4 x2 - 16 ' x2 + 4x x2 - 4x 2x2 + 22-16 x2-16 x2 - 16 ' ( 5 ...
... third re- quires no change ; hence 2a3 + a2x + a2 + 22 + a3 - 23 X x2 - 4x and X x + 4 -16 a3 — ax2 a3 + a2x + ax2 , a2 + x2 + a3-23 a3 - x3 a3 x x + 4 x2 + 4x ( 4. ) X = x + 4 x2 - 16 ' x2 + 4x x2 - 4x 2x2 + 22-16 x2-16 x2 - 16 ' ( 5 ...
Side 16
... third , which has the same denominator , we obtain xy2 + y3 — x3 — x2y — 2xy2 + 2x3y + x3 — x2y y3 — xy2 y3 - xy y2 ( y - x ) y = y3 — x3y — y ( y — x ) ( y + x ) ̄ ̄y + x® ART . 55 . ( 1. ) 2 raised to the fourth power is 16 , and the ...
... third , which has the same denominator , we obtain xy2 + y3 — x3 — x2y — 2xy2 + 2x3y + x3 — x2y y3 — xy2 y3 - xy y2 ( y - x ) y = y3 — x3y — y ( y — x ) ( y + x ) ̄ ̄y + x® ART . 55 . ( 1. ) 2 raised to the fourth power is 16 , and the ...
Side 17
... third power ; it will be the same as the third power of ( a + x ) , ( Art . 57 ) , only put x for a and y for x . · . ( √x + y ) = x3 + 3x2y + 3xy2 + y3 . ( 4. ) First term , 2a × 2a × 2a × 2a × 2a = 5x second term , 32a5 ...
... third power ; it will be the same as the third power of ( a + x ) , ( Art . 57 ) , only put x for a and y for x . · . ( √x + y ) = x3 + 3x2y + 3xy2 + y3 . ( 4. ) First term , 2a × 2a × 2a × 2a × 2a = 5x second term , 32a5 ...
Vanlige uttrykk og setninger
a+b+c AABC ABCD acres base binomial theorem bisected centre changing the signs chord circle circumference coefficients collecting the terms completing the square cosec denominator diameter difference distance dividing divisor equal extracting the root feet find the area find the differential fraction given equation gives greater segment half the sum height hence the area hypotenuse inches inverted latitude least common multiple Let ABC Log.cosec logarithm miles Mult Multiply number sought perp perpendicular poles Problem XI Prop question radius rectangle semiperimeter sine slant slant height solidity square root substituting Subt Subtract surf Tabular area tangent Theorem third side transp transposing transposition triangle Trig value of x wherefore whole arc whole surface yards دو
Populære avsnitt
Side 74 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Side 75 - If the vertical angle of a triangle be 'bisected 'by a straight line which also cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Side 9 - Let x measure у by the units in n, then it will measure cy by the units in nc. 2d. If a quantity measure two others, it will measure their sum or difference. Let a be contained...
Side 15 - ... sin(a + b + c). Again (a) represents the coarse ROM, and bands b and c are two controls of the fine-tuned ROMs so that a < 90°, b < 90 • 2~a and c < 90 • 2~(a + 6). This is shown in Fig. 7-7. Sunderland showed that the trigonometric identity can be written as sin(a + b + c) = sin(a + 6) cos c + cos a cos b sin...
Side 10 - The truth of this rule depends upon these two principles ; 1". If one quantity measure another, it will also measure any multiple of that quantity. Let x measure y by the units in n, then it will measure cy by the units in nc.
Side 139 - Arc, on the Sine and Cosine of an Arc in terms of the Arc itself, and a new Theorem for the Elliptic Quadrant.
Side 137 - The differential of the logarithm of a function is equal to the differential of the function, divided by the function itself.
Side 149 - The pyramid may be conceived to be made up of an infinite number of planes parallel to ABC.
Side 81 - ... sum of any number of quantities is equal to the sum of the corresponding functions of each of these quantities, will be called distributive
Side 86 - We thus derive the following method for multiplying two binomials which have a common first term : The first term of the product is the square of the common first terms of the binomials.