Key to System of practical mathematics. 2 pt. No.xvii |
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Página 44
... acres . 4 • 94840 40 38-93600 poles , the Ans . Or by Logarithms . Log . half sum of the sides 351 3 Log . 117 the remainder - = 2.545307 = 6.204558 2 ) 8.749865 Ans . Sq . links 23710 = 4.374932 Log . area . ( 2. ) ( 39 + 36 + 15 ) ...
... acres . 4 • 94840 40 38-93600 poles , the Ans . Or by Logarithms . Log . half sum of the sides 351 3 Log . 117 the remainder - = 2.545307 = 6.204558 2 ) 8.749865 Ans . Sq . links 23710 = 4.374932 Log . area . ( 2. ) ( 39 + 36 + 15 ) ...
Página 45
... acre , the area is 1.2 acres = 1 acre 32 poles . = Or by Logarithms . 500 500 600 21600 sum = 800 Log . 800-500-300 Log . 800-500-300 Log . 800-600-200 Log . 2.903090 = 2.477121 = 2.477121 = 2.301030 2 / 10.158362 = 5.079181 Sq . links ...
... acre , the area is 1.2 acres = 1 acre 32 poles . = Or by Logarithms . 500 500 600 21600 sum = 800 Log . 800-500-300 Log . 800-500-300 Log . 800-600-200 Log . 2.903090 = 2.477121 = 2.477121 = 2.301030 2 / 10.158362 = 5.079181 Sq . links ...
Página 46
... acres , 2 roods , 39.84 poles . ( 3 ) In this exercise there are given in each of the triangles ABD and DBC two sides and the contained angle ; hence we must use Rule II . Problem II . , to find the area . Log . 490 = 2.690196 Log ...
... acres , 2 roods , 39.84 poles . ( 3 ) In this exercise there are given in each of the triangles ABD and DBC two sides and the contained angle ; hence we must use Rule II . Problem II . , to find the area . Log . 490 = 2.690196 Log ...
Página 49
... acre , 1 rood , 30-2812 poles , Calculation of the area of the AGDC . GC = 394 DC = 182 GD = 424 1000 S = 500 Log . of = 2.698970 S - GC 106 S - DC- 318 S - GD دو = 2.025306 ,, = 2.502427 76 " 9 = 1.880814 29.107517 = 4.553758.5 .. AGDC ...
... acre , 1 rood , 30-2812 poles , Calculation of the area of the AGDC . GC = 394 DC = 182 GD = 424 1000 S = 500 Log . of = 2.698970 S - GC 106 S - DC- 318 S - GD دو = 2.025306 ,, = 2.502427 76 " 9 = 1.880814 29.107517 = 4.553758.5 .. AGDC ...
Página 82
... acres 21.4784 poles . Ans . ( 2. ) 925 3 Log . 2 ) 2775 1387.5 = 3.142233 3 Log . 462.5 = 7.995336 2 ) 11.137569 3,70497 sq . links = 5.568784 4 2,81988 40 32-795203 acres , 2 ro . , 32.7952 poles . Ans . ( 3. ) 546 Mult . by 216 ( 432 ...
... acres 21.4784 poles . Ans . ( 2. ) 925 3 Log . 2 ) 2775 1387.5 = 3.142233 3 Log . 462.5 = 7.995336 2 ) 11.137569 3,70497 sq . links = 5.568784 4 2,81988 40 32-795203 acres , 2 ro . , 32.7952 poles . Ans . ( 3. ) 546 Mult . by 216 ( 432 ...
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 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...
Página 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...
Página 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.
Página 139 - Arc, on the Sine and Cosine of an Arc in terms of the Arc itself, and a new Theorem for the Elliptic Quadrant.
Página 137 - The differential of the logarithm of a function is equal to the differential of the function, divided by the function itself.
Página 149 - The pyramid may be conceived to be made up of an infinite number of planes parallel to ABC.
Página 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
Página 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.