Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten Seconds of the Quadrant: With Other Useful TablesHarper & brothers, 1859 - 150 Seiten |
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Seite 19
... complement , and then reject 10 from the result . a - b is equivalent to 10 - b + a − 10 . To work a proportion , then , by logarithms , we must Add the complement of the logarithm of the first term to the logarithms of the second and ...
... complement , and then reject 10 from the result . a - b is equivalent to 10 - b + a − 10 . To work a proportion , then , by logarithms , we must Add the complement of the logarithm of the first term to the logarithms of the second and ...
Seite 20
... 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 complement is 90 ° — A ...
... 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 complement is 90 ° — A ...
Seite 21
... complement of that arc . Thus the arc DF , being the complement of AF , FK is the sine of the arc DF , or the cosine of the arc AF . The cotangent of an arc is the tangent of the complement of that arc . Thus DL is the tangent of the ...
... complement of that arc . Thus the arc DF , being the complement of AF , FK is the sine of the arc DF , or the cosine of the arc AF . The cotangent of an arc is the tangent of the complement of that arc . Thus DL is the tangent of the ...
Seite 22
With Other Useful Tables Elias Loomis. is the complement of the other , the sine , tangert , and secant of one of these angles is the cosine , cotangent , and cosecan of the other . D Cotan . L Cosine · Sec . I ( 27. ) The sine , tangent ...
With Other Useful Tables Elias Loomis. is the complement of the other , the sine , tangert , and secant of one of these angles is the cosine , cotangent , and cosecan of the other . D Cotan . L Cosine · Sec . I ( 27. ) The sine , tangent ...
Seite 24
... complement . The degrees for the cosines must be sought at the bottom of the page , and the minutes on the right . Thus , on page 130 , the cosine of 16 ° 42 ' is 0.957822 ; on page 118 , “ 73 ° 17 ' is 0.287639 , & c . 66 The ...
... complement . The degrees for the cosines must be sought at the bottom of the page , and the minutes on the right . Thus , on page 130 , the cosine of 16 ° 42 ' is 0.957822 ; on page 118 , “ 73 ° 17 ' is 0.287639 , & c . 66 The ...
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Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 69 - TO THE NUMBER OF DEGREES IN THE ARC ; So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR.
Seite 73 - To find the solidity of a pyramid. RULE. Multiply the area of the base by one third of the altitude.
Seite 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.
Seite 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.