Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
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Page vi
... Logarithms , .. Rules for Characteristics , General Principles , Table of Logarithms , ..... Manner of Using the Table , Multiplication by Logarithms ,. Division by Logarithms , Arithmetical Complement , Raising to Powers by Logarithms ...
... Logarithms , .. Rules for Characteristics , General Principles , Table of Logarithms , ..... Manner of Using the Table , Multiplication by Logarithms ,. Division by Logarithms , Arithmetical Complement , Raising to Powers by Logarithms ...
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... log 358884 log 5672 ( a . c . ) log 89721 • OPERATION . • · 5.554954 · 3.753736 • · 5.047106 4.355796 .. 22688 , result 4. Solve the proportion , 3976 : 7952 :: 5903 : X. Applying logarithms , the logarithm of the 4th term , is equal to ...
... log 358884 log 5672 ( a . c . ) log 89721 • OPERATION . • · 5.554954 · 3.753736 • · 5.047106 4.355796 .. 22688 , result 4. Solve the proportion , 3976 : 7952 :: 5903 : X. Applying logarithms , the logarithm of the 4th term , is equal to ...
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... log a log sin C ( 749 ) - 10 = log c ; • 2.874482 log sin C ( 47 ° 03 ′ 10 ′′ ) 9.864501 • log c • • • 2.738983 . ' . c = 548.255 . Applying logarithms to Formula ( 8 ) , we have , log a log a log cos C • ( 749 ) log cos C ( 47 ° 03 ...
... log a log sin C ( 749 ) - 10 = log c ; • 2.874482 log sin C ( 47 ° 03 ′ 10 ′′ ) 9.864501 • log c • • • 2.738983 . ' . c = 548.255 . Applying logarithms to Formula ( 8 ) , we have , log a log a log cos C • ( 749 ) log cos C ( 47 ° 03 ...
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... application of Formula ( 13 ) . EXAMPLES . 1. Given A = 22 ° 37 ' , b = 216 , and a == 117 , to find B , C , C , and C. From Formula ( 13 ) , we have , α : b :: sin A sin B ; that ... application of logarithms , ( a 38 PLANE TRIGONOMETRY .
... application of Formula ( 13 ) . EXAMPLES . 1. Given A = 22 ° 37 ' , b = 216 , and a == 117 , to find B , C , C , and C. From Formula ( 13 ) , we have , α : b :: sin A sin B ; that ... application of logarithms , ( a 38 PLANE TRIGONOMETRY .
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... application of logarithms , ( a . c . ) log a log b + log sin A 10 = log sin B ; ( a . c . ) log a + - • ( 117 ) • • 7.931814 log b • · ( 216 ) • · 2.334454 log sin A ( 22 ° 37 ′ ) • • 9.584968 log sin B • • • • 9.851236 • · B = 45 ° 13 ...
... application of logarithms , ( a . c . ) log a log b + log sin A 10 = log sin B ; ( a . c . ) log a + - • ( 117 ) • • 7.931814 log b • · ( 216 ) • · 2.334454 log sin A ( 22 ° 37 ′ ) • • 9.584968 log sin B • • • • 9.851236 • · B = 45 ° 13 ...
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Common terms and phrases
AB² AC² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine six right slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence