Key to System of practical mathematics. 2 pt. No.xvii |
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Resultat 1-5 av 19
Side 9
... opposite signs , that is , if the last term of the expansion of ( s - a ) " be which it will be if n be odd . The above expansions are all effected by the binomial theorem . 19 ART . 43 . ac ( a — b ) d + ac 3axa + x2 3a2 + x2 1. 3a + ...
... opposite signs , that is , if the last term of the expansion of ( s - a ) " be which it will be if n be odd . The above expansions are all effected by the binomial theorem . 19 ART . 43 . ac ( a — b ) d + ac 3axa + x2 3a2 + x2 1. 3a + ...
Side 63
... opposite to the equal Ls IBF , ICF , is common to both ; .. BF is CF , ( Prop . 19 , cor . 5 ) ; hence the third side is bisected by the 3. Let the Is AI , CI , bisect the Ls BAC , BCA , then the | BI drawn from their point of ...
... opposite to the equal Ls IBF , ICF , is common to both ; .. BF is CF , ( Prop . 19 , cor . 5 ) ; hence the third side is bisected by the 3. Let the Is AI , CI , bisect the Ls BAC , BCA , then the | BI drawn from their point of ...
Side 65
... opposite to the equal sides ; hence the LABD is = the CDB , and ( Prop . 16 ) AB is || DC ; also the LADB is = LCBD , and AD is || CB ; .. since AB is || CD , and AD is || CB , the figure ABCD is a parallelogram . - Q. E. D. 7. In the ...
... opposite to the equal sides ; hence the LABD is = the CDB , and ( Prop . 16 ) AB is || DC ; also the LADB is = LCBD , and AD is || CB ; .. since AB is || CD , and AD is || CB , the figure ABCD is a parallelogram . - Q. E. D. 7. In the ...
Side 66
... opposite ; .. the LEAD is the ECF , and they are alternate Ls ; .. AB is || FC ; and since DB is = and || FC , and they are joined towards the same parts by DF and BC , .. DĚ and BC are both equal and parallel , ( Prop . 24 , cor . 1 ) ...
... opposite ; .. the LEAD is the ECF , and they are alternate Ls ; .. AB is || FC ; and since DB is = and || FC , and they are joined towards the same parts by DF and BC , .. DĚ and BC are both equal and parallel , ( Prop . 24 , cor . 1 ) ...
Side 69
... that when a right - angled △ has one of its angles a third of a L , the side opposite to that is half of the hypotenuse ; .. AO is double of OE or OD ; to each add B D OD , and we have AD = 30D = three KEY - GEOMETRICAL EXERCISES . 69.
... that when a right - angled △ has one of its angles a third of a L , the side opposite to that is half of the hypotenuse ; .. AO is double of OE or OD ; to each add B D OD , and we have AD = 30D = three KEY - GEOMETRICAL EXERCISES . 69.
Vanlige uttrykk og setninger
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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.