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 . -triangle a B c (Figure 2) given b c=^7^9%^\ A C=13^7^/^ and a k=7^4j4^^ to find D E parallel to B c _^ BCXAED E= ; A C * Log D E=Log B c+Log A K—Log ACLog B c= A K= A c=l. 13500Log D E= number having the nearest Log. is 4^2i%2^ (Page 17). *) A numbe
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 . -triangle a B c (Figure 2) given b c=^7^9%^\ A C=13^7^/^ and a k=7^4j4^^ to find D E parallel to B c _^ BCXAED E= ; A C * Log D E=Log B c+Log A K—Log ACLog B c= A K= A c=l. 13500Log D E= number having the nearest Log. is 4^2i%2^ (Page 17). *) A number whose true Log. is more than 10 units, exceeds 10 billions 320 EXAMPLE m. To find the area a of a circle whose radius r=158^. lyct a be the side of a square having the same area as the circlCjthen A=7Y r2=^2. ^=^ ^-jx To obtain a^\ find the Log. of a. and the square corresponding to theLog. nearest to that found. Log a=Log r+Log >/7T. On page 63 : Log r = On page 329: Log x/7T= Log a= The nearest square will be found on page 112 to be=,which is the required area in square feet. As the absolute difference between the true area and the one 1 obtained can never exceed c/=U—;^^ ^^ 64x12 enough for all practical considerations. )2—^2^ the result is near EXAMPLE Figure 1. Given the three sides of the triangle a b c, to find A d and D C;.B D being the height of the triangle. Let A B==c; A C=j6; b c=a; a D=m and d c==n, then m= 7r< and «== 2h 2bBy the table of squares find c^-[-h^—sL^==^ca)^ and thenm=2^;n=2^^(Log 2+Log b) jvog m=-2 Log_ ^_^ _ , _.^ ^^Logii-=2Log <9-(Log2+Log6, 321 Find the IvOgs. corresponding to the nearest q:v^ and ^, to find the hypotenuse A B A b2=A C2+B C2 Bc2= c2= Sum= b2 The nearest square= (Page 39) and the root=9^8iyi6^. Should the hypotenuse a b and one of the sides, say a c, be givenand the other side bc required, subtract a c2 from a b2; the differencewill be equal to the
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectlogarit, bookyear1912
