Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten Seconds of the Quadrant: With Other Useful Tables |
From inside the book
Results 1-5 of 100
Page 20
... Tangent ( 20. ) The complement of an arc is what remains after sub- tracting the arc from 90 ° . Thus the arc DF is the complement of AF . The complement of 25 ° 15 ' is 64 ° 45 ' . In general , if we represent any arc by A , its ...
... Tangent ( 20. ) The complement of an arc is what remains after sub- tracting the arc from 90 ° . Thus the arc DF is the complement of AF . The complement of 25 ° 15 ' is 64 ° 45 ' . In general , if we represent any arc by A , its ...
Page 21
... tangent of an arc is the line which touches it at one extremity , and is terminated by a line drawn from the center through the other extremity . Thus AI is the tangent of the arc AF , or of the angle ACF . ( 25. ) The secant of an arc ...
... tangent of an arc is the line which touches it at one extremity , and is terminated by a line drawn from the center through the other extremity . Thus AI is the tangent of the arc AF , or of the angle ACF . ( 25. ) The secant of an arc ...
Page 22
... tangent , and secant of an arc are equal to the sine , tangent , and secant of its supplement . Thus FG is the sine of the arc AF , or of its sup- plement , BDF . Also , AI , the tan- gent of the arc AF , is equal to BM , the tangent of ...
... tangent , and secant of an arc are equal to the sine , tangent , and secant of its supplement . Thus FG is the sine of the arc AF , or of its sup- plement , BDF . Also , AI , the tan- gent of the arc AF , is equal to BM , the tangent of ...
Page 23
... tangents of the same arcs , we shall find the tangent of 10 ° equals 0.176 inch ;. 70 ° ( 6 66 20 ° 66 0.364 66 66 66 30 ° 66 0.577 66 66 66 40 ° 66 0.839 66 66 66 45 ° ( 6 1.000 66 66 66 50 ° 66 1.192 60 ° 66 60 ° 66 1.732 66 66 66 70 ...
... tangents of the same arcs , we shall find the tangent of 10 ° equals 0.176 inch ;. 70 ° ( 6 66 20 ° 66 0.364 66 66 66 30 ° 66 0.577 66 66 66 40 ° 66 0.839 66 66 66 45 ° ( 6 1.000 66 66 66 50 ° 66 1.192 60 ° 66 60 ° 66 1.732 66 66 66 70 ...
Page 24
... tangents are found in a similar manner . the tangent of 31 ° 44 ' is 0.618417 ; 66 66 65 ° 27 ' is 2.18923 . Thus The same number in the table is both the sine of an arc and the cosine of its complement . The degrees for the cosines ...
... tangents are found in a similar manner . the tangent of 31 ° 44 ' is 0.618417 ; 66 66 65 ° 27 ' is 2.18923 . Thus The same number in the table is both the sine of an arc and the cosine of its complement . The degrees for the cosines ...
Other editions - View all
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.