Elementary TrigonometryClarendon Press, 1911 - 204 σελίδες |
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Συχνά εμφανιζόμενοι όροι και φράσεις
A-sin A+ cos² A+B+C acute angle Algebra B-sin Calculate centre chord circular measure circumcircle circumference co-ordinates cos A+B cos² cosec cosine cotangent Coversine Ctan decimal Deduce diameter direction Draw the graph equal Examples Express figure find the angle Find the distance Find the height Find the length find the value formulae function geometrical given hypotenuse inches inclination inscribed circle latitude less than 90 lines whose equations logarithms longitude miles obtuse parallel Plane Sailing positive projection Prop radians radius right angles right-angled triangle sailing satisfy the equation sec² secant ship Show sin A sin sin A+ sin² sin³ sine sine and cosine solution Solve the equation straight line subtends an angle tables tan² tangent tower triangle ABC trigonometrical functions vector Verify versin vertical yards
Δημοφιλή αποσπάσματα
Σελίδα 18 - Suppose a* = n, then x is called the logarithm ofnto the base a; thus the logarithm of a number to a given base is the index of the power to which the base must be raised to be equal to the number. The logarithm of n to the base a is written logaw; thus logaw = x expresses the same relation as a* = n.
Σελίδα 10 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Σελίδα 10 - Since the area of a rectangle is equal to the product of the number of units of length in the length and...
Σελίδα 192 - If 6+e=24.8 cm., nr=11.89 cm., ^=39°, find B and C. 10. A lighthouse is observed from a ship which is steaming due N. to bear 62° W. of N. ; after the ship has sailed 10 miles, the lighthouse is observed to bear 40° W. of S. Calculate the distance of the ship from the lighthouse when it was nearest to it. STATICS AND DYNAMICS. ( Two and a holf1umn.) [Assume g=32 for foot-second unitt.] 1.
Σελίδα 12 - Proposition 3. The ratio of the circumference of any circle to its diameter is less than 3...
Σελίδα 11 - The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles, with converse.
Σελίδα 92 - Two observers on the same side of a balloon, and in the same vertical plane with it, are a mile apart, and find the angles of elevation to be 17° and 68° 25' respectively : what is its height ? [1836 feet.
Σελίδα 92 - ... and 63° 41'. Find the distance of each ship from the fort. 235. From the summit of a tower, whose height is 108 feet, the angles of depression of the top and bottom of a vertical column, standing in the horizontal plane, are found to be 30° and 60° respectively.
Σελίδα 9 - ... the three angles of a triangle are together equal to two right angles, although it is not known to all.
Σελίδα 9 - Any two sides of a triangle are together greater than the third side.