Plane and Spherical Trigonometry

Εξώφυλλο
Ginn, 1901 - 209 σελίδες
 

Άλλες εκδόσεις - Προβολή όλων

Συχνά εμφανιζόμενοι όροι και φράσεις

Δημοφιλή αποσπάσματα

Σελίδα 59 - The sides of a triangle are proportional to the sines of the opposite angles.
Σελίδα 26 - Geometry that the area of a triangle is equal to one-half the product of the base by the altitude. Therefore, if a and b denote the legs of a right triangle, and F the area...
Σελίδα 79 - A pole is fixed on the top of a mound, and the angles of elevation of the top and the bottom of the pole are 60° and 30°, respectively. Prove that the length of the pole is twice the height of the mound.
Σελίδα 126 - Azimuth of a point in the celestial sphere is the angle at the zenith between the meridian of the observer and the vertical circle passing through the point; it may also be regarded as the arc of the horizon intercepted between those circles.
Σελίδα 110 - RV,r — — _ — n" — * °r' ~"6. The logarithm of a power of a positive number is found by multiplying the logarithm of the number by the exponent of the power. For, Nf = (a*y = a*>.
Σελίδα 30 - From the top of a hill the angles of depression of two objects situated in the...
Σελίδα 110 - X a" = am+". .'. log. (MX N) = m + n — log. M + log. N. Similarly for the product of three or more factors. (5) The logarithm of the quotient of two positive numbers is found by subtracting the logarithm of the divisor from the logarithm of the dividend. (6) The logarithm of a power of a positive number is found by multiplying the logarithm of the number by the exponent of the power. For, N" = (oT)
Σελίδα 109 - Any positive number being selected as a base, the logarithm of any other positive number is the exponent of the power to which the base must be raised to produce the given number. Thus, if a
Σελίδα 59 - Two observers 5 miles apart on a plain, and facing each other, find that the angles of elevation of a balloon in the same vertical plane with themselves are 55° and 58°, respectively.

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