Key to System of practical mathematics. 2 pt. No.xvii |
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Resultat 1-5 av 22
Side 68
... wherefore AP2 + PC2 is = BP2 + PD2 . 15. Let ABCD be a quad- rilateral figure , and let its dia- gonals , BD , AC , be bisected in the points E and F , and join EF , EA , and EC ; we have to prove that the squares of AB , B BC , CD ...
... wherefore AP2 + PC2 is = BP2 + PD2 . 15. Let ABCD be a quad- rilateral figure , and let its dia- gonals , BD , AC , be bisected in the points E and F , and join EF , EA , and EC ; we have to prove that the squares of AB , B BC , CD ...
Side 69
... wherefore the As AEF , FED , are together half of the 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 ...
... wherefore the As AEF , FED , are together half of the 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 ...
Side 75
... wherefore the rectangle contained by BE⚫DC , is = BD⚫EC . Q. E. D. COR . If the exterior vertical angle of a triangle be bi- sected by a straight line , which meets the base produced , it will divide the base produced , in the same ...
... wherefore the rectangle contained by BE⚫DC , is = BD⚫EC . Q. E. D. COR . If the exterior vertical angle of a triangle be bi- sected by a straight line , which meets the base produced , it will divide the base produced , in the same ...
Side 76
... wherefore each of the Ls EAC and ECA is a third of two rLs , and the AEC is .. equiangular , and consequently equilateral , and AC , the side of a regu- lar hexagon , is therefore equal to the radius of the circle in which it is ...
... wherefore each of the Ls EAC and ECA is a third of two rLs , and the AEC is .. equiangular , and consequently equilateral , and AC , the side of a regu- lar hexagon , is therefore equal to the radius of the circle in which it is ...
Side 15
... expression for the tangent must be = 0 ; .. tan . A + tan . B + tan . C― tan . A tan . B tan . C = 0 ; wherefore tan . A + tan . B + tan . C = tan . A tan . B tan . C. Q. E. D. ( 4. ) Sin . ( 60 ° + A KEY - TRIGONOMETRY . 15.
... expression for the tangent must be = 0 ; .. tan . A + tan . B + tan . C― tan . A tan . B tan . C = 0 ; wherefore tan . A + tan . B + tan . C = tan . A tan . B tan . C. Q. E. D. ( 4. ) Sin . ( 60 ° + A KEY - TRIGONOMETRY . 15.
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.