Key to System of practical mathematics. 2 pt. No.xvii |
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Página 31
... whole , y = the time in which B could do it , and z the time in which C could do it . In order to obtain a general solution of all questions similar to this , put a for 8 days , b for 9 days , and c for 10 days ; then since A could do ...
... whole , y = the time in which B could do it , and z the time in which C could do it . In order to obtain a general solution of all questions similar to this , put a for 8 days , b for 9 days , and c for 10 days ; then since A could do ...
Página 37
... whole was sold for , also = 48x ; therefore 675 1 48x = 675 + Xx 48x2-675 = 675 . 16x2-225x - 225 . X 675 is the num- what the 675 30 ( 1 ) × x and transp . 2 ( 2 ) ÷ 3 3 Formula , Art . 80 4 x = 225 ± √ ( 225 ) 2 + 14400 32 225 255 ...
... whole was sold for , also = 48x ; therefore 675 1 48x = 675 + Xx 48x2-675 = 675 . 16x2-225x - 225 . X 675 is the num- what the 675 30 ( 1 ) × x and transp . 2 ( 2 ) ÷ 3 3 Formula , Art . 80 4 x = 225 ± √ ( 225 ) 2 + 14400 32 225 255 ...
Página 67
... whole EFGH is half of the whole quadrilateral figure ABCD . Q. E. D. 14. Let ABCD be a rectangle , and P any point from which there are drawn PA , PC , to the extre- mities of the diameter AC , and PB , PD , to the extremities of the ...
... whole EFGH is half of the whole quadrilateral figure ABCD . Q. E. D. 14. Let ABCD be a rectangle , and P any point from which there are drawn PA , PC , to the extre- mities of the diameter AC , and PB , PD , to the extremities of the ...
Página 69
... whole ABC , and the triangle ABC is .. bisected by the DF , drawn from the point D , which was required to be done . 18. Let ABC be an equilateral tri- angle , and AD a line drawn to BC , since in the As ABD and ACD , the Ls at D are Ls ...
... whole ABC , and the triangle ABC is .. bisected by the DF , drawn from the point D , which was required to be done . 18. Let ABC be an equilateral tri- angle , and AD a line drawn to BC , since in the As ABD and ACD , the Ls at D are Ls ...
Página 71
... whole ABC , and .. they are equal to one another . From each take the common part ADGF , and there re- mains the GDB = the △ GFC ; but since AD = DB , the BDG is the ADG , and since AF - FC , the ACFG is the AAFG , .. the AADG is the ...
... whole ABC , and .. they are equal to one another . From each take the common part ADGF , and there re- mains the GDB = the △ GFC ; but since AD = DB , the BDG is the ADG , and since AF - FC , the ACFG is the AAFG , .. the AADG is the ...
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.