Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten Seconds of the Quadrant: With Other Useful TablesHarper & brothers, 1859 - 150 páginas |
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Página 178
... of Good Hope , in latitude 34 ° 22 ′ S. , longitude 18 ° 30 ′ E. , on the shortest route . Ans . The course is S. 63 ° 48 ′ E Distance 6792 miles . EXAMPLES FOR PRACTICE . PLANE TRIGONOMETRY . Prob . 1. 178 TRIGONOMETRY .
... of Good Hope , in latitude 34 ° 22 ′ S. , longitude 18 ° 30 ′ E. , on the shortest route . Ans . The course is S. 63 ° 48 ′ E Distance 6792 miles . EXAMPLES FOR PRACTICE . PLANE TRIGONOMETRY . Prob . 1. 178 TRIGONOMETRY .
Página 179
... Prob . 4. In the triangle ABC , the angle A is given 44 ° 13 ′ 24 " , the angle B 55 ° 59 ′ 58 ′′ , and the side AC 368 , to find the remaining parts . Ans . C 79 ° 46 ′ 38 ′′ , AB = 436.844 , and BC = 309.595 . Prob . 5. In a right ...
... Prob . 4. In the triangle ABC , the angle A is given 44 ° 13 ′ 24 " , the angle B 55 ° 59 ′ 58 ′′ , and the side AC 368 , to find the remaining parts . Ans . C 79 ° 46 ′ 38 ′′ , AB = 436.844 , and BC = 309.595 . Prob . 5. In a right ...
Página 180
... Prob . 10. A ladder 40 feet long may be so placed that it shall reach a window 33 feet from the ground on one side of the street , and by turning it over , without moving the foot out of its place , it will do the same by a window 21 ...
... Prob . 10. A ladder 40 feet long may be so placed that it shall reach a window 33 feet from the ground on one side of the street , and by turning it over , without moving the foot out of its place , it will do the same by a window 21 ...
Página 181
... Prob . 17. Prove that sin . 3b = 3 sin . b - 4 sin.3 b . Prob . 18. One side of a triangle is 25 , another is 22 , and the angle contained by these two sides is half that of the angle op- posite the side 25. What is the value of the ...
... Prob . 17. Prove that sin . 3b = 3 sin . b - 4 sin.3 b . Prob . 18. One side of a triangle is 25 , another is 22 , and the angle contained by these two sides is half that of the angle op- posite the side 25. What is the value of the ...
Página 182
... Prob . 2. The base of a triangle is 20 feet , one angle at the base is 63 ° 26 ' , and the other angle at the base is 56 ° 19 ′ . It is required to draw a line parallel to the base , so as to cut off a trapezoid containing 109 square ...
... Prob . 2. The base of a triangle is 20 feet , one angle at the base is 63 ° 26 ' , and the other angle at the base is 56 ° 19 ′ . It is required to draw a line parallel to the base , so as to cut off a trapezoid containing 109 square ...
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Términos y frases comunes
9 I I altitude angle of elevation arithm base chains circle Co-sine Co-tangent complement computed correction cosecant course and distance decimal diameter diff difference of latitude difference of longitude Dist divided equal equator fifth figure find the angles find the area find the Logarithm frustum given number given the angle height Hence horizontal plane hypothenuse inches latitude and departure length LO LO LO logarithmic sine measured meridian middle latitude miles minutes Multiply natural number nautical miles parallel parallel sailing perpendicular places plane sailing Prob Prop proportional quadrant radius Required the logarithmic right-angled spherical triangle right-angled triangle Sandy Hook secant ship sails side AC spherical triangle ABC SPHERICAL TRIGONOMETRY station subtract surface tabular number tang Tangent telescope theodolite Theorem vernier vertical Vulgar Fraction wyll yards zoids ΙΙ ΙΟ
Pasajes populares
Página 20 - The circumference of every circle is supposed to be divided into 360 equal parts, • called degrees, each degree into 60 minutes, and each minute into 60 seconds, etc.
Página 163 - In any spherical triangle, the sines of the sides are proportional to the sines of the opposite angles. In the case of right-angled spherical triangles, this proposition has already been demonstrated.
Página 69 - FIND the area of the sector having the same arc with the segment, by the last problem. Find also the area of the triangle, formed by the chord of the segment and the two radii of the sector.
Página 54 - C' (89) (90) (91) (92) (93) 112. 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.
Página 69 - TO THE NUMBER OF DEGREES IN THE ARC ; So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR.
Página 73 - To find the solidity of a pyramid. RULE. Multiply the area of the base by one third of the altitude.
Página vi - The characteristic of the logarithm of ANY NUMBER GREATER THAN UNITY, is one less than the number of integral figures in the given number.
Página 184 - If a heavy sphere, whose diameter is 4 inches, be let fall into a conical glass, full of water, whose diameter is 5, and altitude 6 inches ; it is required to determine how much water will run over ? AHS.