Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 24
... logarithm required . log sin 19 ° 55 ' log tan 19 ° 55 ' Thus , · · 9.532312 • • • 9.559097 45 ° , look for the degrees at for the minutes in the right If the angle is greater than the bottom of the page , and hand column ; then follow ...
... logarithm required . log sin 19 ° 55 ' log tan 19 ° 55 ' Thus , · · 9.532312 • • • 9.559097 45 ° , look for the degrees at for the minutes in the right If the angle is greater than the bottom of the page , and hand column ; then follow ...
Page 29
... logarithm of R is equal to 10 , we have , log a log sin C ( 47 ° 03 ′ 10 ′′ ) log clog a ( 749 ) 31 ° log sin C - 10 ; • 2.874482 • 7766 9.864501 log c • · · 2.738983 19 42248 C548.255 . 552.3924 Applying logarithms to Formula ( 8 ) ...
... logarithm of R is equal to 10 , we have , log a log sin C ( 47 ° 03 ′ 10 ′′ ) log clog a ( 749 ) 31 ° log sin C - 10 ; • 2.874482 • 7766 9.864501 log c • · · 2.738983 19 42248 C548.255 . 552.3924 Applying logarithms to Formula ( 8 ) ...
Page 30
... log blog a + log cos C - 10 ; log a ( 749 ) 31 ° 2.874481 29561 log cos C ( 47 ° 03 ′ 10 ′′ ) 9.898354 log b ... sin C ( 62 ° 21 ′ 10 ′′ ) • 9.947346 log c · log a · 2.589811 c = 388.875 j ( 439 ) 2.642465 · 9.666543 log b • • 2.309008 ...
... log blog a + log cos C - 10 ; log a ( 749 ) 31 ° 2.874481 29561 log cos C ( 47 ° 03 ′ 10 ′′ ) 9.898354 log b ... sin C ( 62 ° 21 ′ 10 ′′ ) • 9.947346 log c · log a · 2.589811 c = 388.875 j ( 439 ) 2.642465 · 9.666543 log b • • 2.309008 ...
Page 31
... log a log sin C - 10 ; whence , ― log sin C = log c + ( a . c . ) log sin C ; log a = log c + 10 log c ( 56.293 ) · • · 1.750454 0.089527 log a • • • 1.839981 .. a = 69.18 . ( a . c . ) log sin C ( 54 ° 27 ′ 39 ′′ ) Applying logarithms ...
... log a log sin C - 10 ; whence , ― log sin C = log c + ( a . c . ) log sin C ; log a = log c + 10 log c ( 56.293 ) · • · 1.750454 0.089527 log a • • • 1.839981 .. a = 69.18 . ( a . c . ) log sin C ( 54 ° 27 ′ 39 ′′ ) Applying logarithms ...
Page 32
... log c + ( a . c . ) log sin C , log a = log b = log a log cos C ( 358 ) ( a . c . ) log sin °C ( 61 ° 13 ′ ) 2.553883 • • 0.057274 - 10 ; log a • log a ( 313.776 ) log cos C ( 61 ° 13 ' ) log b • 2.611157 ... a = 408.466 ; • • 2.611157 ...
... log c + ( a . c . ) log sin C , log a = log b = log a log cos C ( 358 ) ( a . c . ) log sin °C ( 61 ° 13 ′ ) 2.553883 • • 0.057274 - 10 ; log a • log a ( 313.776 ) log cos C ( 61 ° 13 ' ) log b • 2.611157 ... a = 408.466 ; • • 2.611157 ...
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Common terms and phrases
AB² ABCD altitude apothem Applying logarithms centre chord circle circumference cone consequently convex surface cosec Cosine Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area Find the logarithmic following RULE frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC linear units log cot log sin lower base lune mantissa multiplied number of sides opposite parallel parallelogram parallelopipedon perpendicular plane MN polar triangle polyedral angle polyedron principle demonstrated prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment similar six right slant height solution sphere spherical angle spherical excess spherical polygon spherical triangle square straight line subtracting Tang tangent THEOREM triangle ABC triangular prism upper base vertex volume whence write the following