Elements of Geometry and Trigonometry |
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Page 24
... logarithm required . log sin 19 ° 55 ' log tan 19 ° 55 ' Thus , · • • 9.532312 9.559097 If the angle is greater than 45 ° , look for the degrees at the bottom of the page , and for the minutes in the right hand column ; then follow the ...
... logarithm required . log sin 19 ° 55 ' log tan 19 ° 55 ' Thus , · • • 9.532312 9.559097 If the angle is greater than 45 ° , look for the degrees at the bottom of the page , and for the minutes in the right hand column ; then follow the ...
Page 29
... . Given a = B , c , and b . EXAMPLES . 749 , and C = 47 ° 03 ' 10 " ; required OPERATION . B = 90 ° 47 ° 03 ′ 10 ′′ = 42 ° 56 ′ 50 ′′ . Applying logarithms to formula ( 7 ) , we have . log a log sin C - 10 = log c 19 PLANE 29 TRIGONOMETRY .
... . Given a = B , c , and b . EXAMPLES . 749 , and C = 47 ° 03 ' 10 " ; required OPERATION . B = 90 ° 47 ° 03 ′ 10 ′′ = 42 ° 56 ′ 50 ′′ . Applying logarithms to formula ( 7 ) , we have . log a log sin C - 10 = log c 19 PLANE 29 TRIGONOMETRY .
Page 30
Adrien Marie Legendre. log a log sin C - 10 = log c ; log a ( 749 ) • • • 2.874482 log sin C ( 47 ° 03 ′ 10 ′′ ) 9.864501 · log c • • 2.738983 = 548.255 ( 749 ) • Applying logarithms to Formula ( 8 ) , we have , log a log a log cos C 10 log ...
Adrien Marie Legendre. log a log sin C - 10 = log c ; log a ( 749 ) • • • 2.874482 log sin C ( 47 ° 03 ′ 10 ′′ ) 9.864501 · log c • • 2.738983 = 548.255 ( 749 ) • Applying logarithms to Formula ( 8 ) , we have , log a log a log cos C 10 log ...
Page 31
... log sin C = log a ; but , 10- log sin C ( a . c . ) of log sin C ; whence , log c ( 56.293 ) ( a . c . ) log sin O ( 54 ° 27 ′ 39 ′′ ) Ơ log a · · • 1.750454 • 0.089527 1.839981 a = 69.18 Applying logarithms to Formula ( 8 ) , we have ...
... log sin C = log a ; but , 10- log sin C ( a . c . ) of log sin C ; whence , log c ( 56.293 ) ( a . c . ) log sin O ( 54 ° 27 ′ 39 ′′ ) Ơ log a · · • 1.750454 • 0.089527 1.839981 a = 69.18 Applying logarithms to Formula ( 8 ) , we have ...
Page 32
... log sin C = log a ; log c ( 358 ) • • 2.553883 • • 0.057274 log a Also , ( a . c . ) log sin C ( 61 ° 13 ′ ) 2.611157 . ' . a = 408.466 ; - = log a log cos C 10 log b ; log a log cos C ( 408.466 ) ( 61 ° 13 ' ) • 2.611157 • • 9.682595 ...
... log sin C = log a ; log c ( 358 ) • • 2.553883 • • 0.057274 log a Also , ( a . c . ) log sin C ( 61 ° 13 ′ ) 2.611157 . ' . a = 408.466 ; - = log a log cos C 10 log b ; log a log cos C ( 408.466 ) ( 61 ° 13 ' ) • 2.611157 • • 9.682595 ...
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Common terms and phrases
ABCD 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 line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half middle point number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROBLEM PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment side BC similar sine slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence