acute angle altitude angle of elevation antilog apothem chord circle colog cologarithm computed cos² cosecant cosine cot² cotangent Cotg csc² decimal diagonal Exercise figure Find antilog Find log find the angle Find the area Find the distance Find the numerical Find the side Find the value five-place tables formula four-place tables geometry given angle given number Hence history of trigonometry horizontal plane hypotenuse isosceles triangle law of sines Law of Tangents Let the pupil LO LO log cot loga logarithms mantissa method numerical value oblique triangles obtained parallelogram Plane Trigonometry Prove radians radius Regiomontanus right triangle sec² secant Similarly sin² sin³ sine solution spherical spherical trigonometry subtends Subtract tan x tan-¹ tan² Tang tangent tower triangle ABC trigonometric functions
Page 14 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Page 167 - The circumference of a circle is supposed to be divided into 360 equal parts, called degrees; each degree into 60 minutes, and each minute into 60 seconds. Degrees, minutes, and seconds are designated by the characters °, ', ". Thus 23° 14' 35" is read 23 degrees, 14 minutes, and 35 seconds.
Page 111 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Page 133 - AB may be comFIG. 74. puted (How?). 93. V. To find the Distance of an Inaccessible Object. Let A (Fig. 75) be the position of the observer and let it be required to determine the distance from A to B. Let the pupil determine what measurements and computations are necessary in accordance with the figure. FIG. 75. 94. VI. To find the Distance between two Objects separated by an Impassable Barrier (and possibly invisible to each other).
Page 107 - B are both acute. In Fig. 56 the angle A is acute, and angle ABC obtuse. Let CD, denoted by p, be the altitude in each triangle. In Fig. 55, in the rt.
Page 21 - What is the side of a square whose area is equal to that of a circle 452 feet in diameter ? Ans. ^(452)
Page 108 - In the same way it may be proved that a : b : : sin. A : sin. B, and these two proportions may be written a : 6 : c : : sin. A : sin. B : sin. C. THEOREM III. t8. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. By Theorem II. we have a : b : : sin. A : sin. B.
Page 10 - Hence, the characteristic of an integral or mixed number is one less than the number of figures to the left of the decimal point. 5. Characteristic of a Decimal Fraction. 1 = 10°.