## Key to System of practical mathematics. 2 pt. No.xvii |

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acres angle base becomes bisected centre changing chord circle coefficients collecting common completing the square contained cosec course denominator diameter difference differential distance dividing draw ends equal evidently EXERCISES expression Extracting root extracting the root feet figure follows four fourth fraction given equation gives greater half height hence inches integral join latitude length less logarithm Long mean measure middle miles Mult Multiply nearly Note obtain opposite perpendicular poles PROBLEM Prop proved quantity question radius remainder represent root Rule segment shillings sides signs sine solidity sought square square root substituting Subtract surf Table Theorem third transp transposing transposition triangle Trig wherefore whole yards

### 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.