Key to System of practical mathematics. 2 pt. No.xvii |
Inni boken
Resultat 1-5 av 39
Side 63
... base AD is BD , and hence the point D is equally distant from the points A and B ; and the same may be proved of any point in the line DC ; .. every point in DC is equally distant from A and B. Q. E. D. COR . The locus of all points ...
... base AD is BD , and hence the point D is equally distant from the points A and B ; and the same may be proved of any point in the line DC ; .. every point in DC is equally distant from A and B. Q. E. D. COR . The locus of all points ...
Side 64
... base ; bi- sect it in E , join BE , and produce it to F , making EF BE , and join FC ; then we have to prove that AB + BC is 2BE , that is , than BF . Now since AE is EC , and BE is EF , the two sides AE , EB , are = the two sides CE ...
... base ; bi- sect it in E , join BE , and produce it to F , making EF BE , and join FC ; then we have to prove that AB + BC is 2BE , that is , than BF . Now since AE is EC , and BE is EF , the two sides AE , EB , are = the two sides CE ...
Side 65
... base AE is the base EC , and the LAED to the CED , F ( Prop . 5 ) , and since they are KEY - GEOMETRICAL EXERCISES . 65.
... base AE is the base EC , and the LAED to the CED , F ( Prop . 5 ) , and since they are KEY - GEOMETRICAL EXERCISES . 65.
Side 66
... base AD is = CF , but AD is DB ; .. DB is = FC , and the remaining angles are equal to which the equal sides are opposite ; .. the LEAD is the ECF , and they are alternate Ls ; .. AB is || FC ; and since DB is = and || FC , and they are ...
... base AD is = CF , but AD is DB ; .. DB is = FC , and the remaining angles are equal to which the equal sides are opposite ; .. the LEAD is the ECF , and they are alternate Ls ; .. AB is || FC ; and since DB is = and || FC , and they are ...
Side 67
... base EH , and between the same parallels EH and BD . For a like reason the KFGL is half of the ACBD ; .. 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 ...
... base EH , and between the same parallels EH and BD . For a like reason the KFGL is half of the ACBD ; .. 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 ...
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.