Smoley's tables; parallel tables of logarithms and squares, diagram for solving right triangles, angles and logaithmic functions, corresponding to given bevels, common logarithms of numbers, tables of logarithmic and natural trigonometric functions, and other tables; for engineers, architects and students . 0 i 10 ^ 11 i 1^ i IS i 14 i IJ i 16 ^*c 01 TABLES OF ANGLES ANjJlOGARITHMICFUNCTIONS Gwresponding to bevels or slopes given to a base oi 12 inches. The following table bearing the above title gives the amount andlog. functions of the angle whose natural tang, is the bevel given to12. The b
Smoley's tables; parallel tables of logarithms and squares, diagram for solving right triangles, angles and logaithmic functions, corresponding to given bevels, common logarithms of numbers, tables of logarithmic and natural trigonometric functions, and other tables; for engineers, architects and students . 0 i 10 ^ 11 i 1^ i IS i 14 i IJ i 16 ^*c 01 TABLES OF ANGLES ANjJlOGARITHMICFUNCTIONS Gwresponding to bevels or slopes given to a base oi 12 inches. The following table bearing the above title gives the amount andlog. functions of the angle whose natural tang, is the bevel given to12. The bevels are given in the table by the big top figures, and frac-tions in the left column of the page, and opposite each fraction areplaced the respective log. functions and the amount of the angle indegrees, minutes and seconds. The amount of the angle A, for in-stance, corresponding to the bevel of 4| to 12, (see accompany-ing figure).. can be read on page 308 as 20^ 01 52, and the Log. functions of thatangle as Log Sine=, Log , etc. If one of the sides of the right-angle triangle a b c and the slope ofthe hypothenuse are given, the other two sides can be figured by meansof the well-known relations. d^c cosine A=a cotg Ac=b sec A =a cosec Aa=b tang, a —c sine Ahence Log3=iLog. c+Log cosine A = Log a+Log cotg a Log. c=Log. &+Log. sec a =Log a+Log cosec. aLog. a=Log. b-\-Log tang A =Log c+Log sine ALet, for example, s=4|and &=26 7|, thenLog. c = Log. &-|-Log sec. A and Log. a=Log. h-\-Log tang aIn our case. Log. b- Log. 26 7f= sec. A = Lo^c Log 6 Log tang. ALog a = ^ = = :Log28 4jr 9 8y»6 nearly 302 The parallel arrangement of the tables of Logs, and Squares canhere be taken advantage of for checking the values of a andc; namely:when taking from the table the Log. 6, take at the same time its square,which, in our case, is I
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectlogarit, bookyear1912
