Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten Seconds of the Quadrant: With Other Useful Tables |
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Page 23
... lengths of those lines for different angles in a circle whose radius is unity . Thus , if we describe a circle with a radius of one inch , and divide the circumference into equal parts of ten degrees , we shall find the sine of 10 ...
... lengths of those lines for different angles in a circle whose radius is unity . Thus , if we describe a circle with a radius of one inch , and divide the circumference into equal parts of ten degrees , we shall find the sine of 10 ...
Page 43
... length , and parallel to each other . This instrument is useful for drawing a line parallel to a given line , through a given point . For this purpose , place the edge of one of the flat rules against the given line , and move the other ...
... length , and parallel to each other . This instrument is useful for drawing a line parallel to a given line , through a given point . For this purpose , place the edge of one of the flat rules against the given line , and move the other ...
Page 44
... length , containing a line of equal parts , chords , sines , tan- gents , & c . For a scale of equal parts , a line is divided into inches and tenths of an inch , or half inches and twentieths . When smaller fractions are required ...
... length , containing a line of equal parts , chords , sines , tan- gents , & c . For a scale of equal parts , a line is divided into inches and tenths of an inch , or half inches and twentieths . When smaller fractions are required ...
Page 45
... lengths of the sines to every degree of the quadrant , to the same ra- dius as the line of chords . The line of tangents and the line of secants are constructed in the same manner . Since the sine of 90 ° is equal to radius , and the ...
... lengths of the sines to every degree of the quadrant , to the same ra- dius as the line of chords . The line of tangents and the line of secants are constructed in the same manner . Since the sine of 90 ° is equal to radius , and the ...
Page 47
... lengths upon the same scale of equal parts which was used in laying off the base . Ex . 1. Given the angle A , 45 ° 30 ′ , the angle B , 35 ° 20 ' , and the side AB , 43 ? rods , to construct the triangle , and find A the lengths of the ...
... lengths upon the same scale of equal parts which was used in laying off the base . Ex . 1. Given the angle A , 45 ° 30 ′ , the angle B , 35 ° 20 ' , and the side AB , 43 ? rods , to construct the triangle , and find A the lengths of the ...
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Common terms and phrases
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
Popular passages
Page 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.
Page 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.
Page 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.
Page 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.
Page 69 - TO THE NUMBER OF DEGREES IN THE ARC ; So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR.
Page 73 - To find the solidity of a pyramid. RULE. Multiply the area of the base by one third of the altitude.
Page 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.
Page 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.