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 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 the ...
... 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 the ...
Page 29
... logarithm of R is equal to 10 , we have , log c log a log sin C - 10 ; log a ( 749 ) 2.874482 log sin C ( 47 ° 03 ′ 10 ′′ ) 9.864501 log c⚫ 2.738983 . c = 548.255 . Applying logarithms to Formula ( 8 ) , we have 19 PLANE TRIGONOMETRY . 29.
... logarithm of R is equal to 10 , we have , log c log a log sin C - 10 ; log a ( 749 ) 2.874482 log sin C ( 47 ° 03 ′ 10 ′′ ) 9.864501 log c⚫ 2.738983 . c = 548.255 . Applying logarithms to Formula ( 8 ) , we have 19 PLANE TRIGONOMETRY . 29.
Page 30
... log b = log a + log cos C 10 ; log a ( 749 ) 2.874481 log cos C ( 47 ° 03 ′ 10 ′′ ) • log b 9.833354 2.707835 . b ... sin C ( 62 ° 21 ′ 10 ′′ ) • 9.947346 log c 2.589811- . ' . c = 388.875 ; log a ( 439 ) 2.642465 log cos C ( 62 ° 21 ...
... log b = log a + log cos C 10 ; log a ( 749 ) 2.874481 log cos C ( 47 ° 03 ′ 10 ′′ ) • log b 9.833354 2.707835 . b ... sin C ( 62 ° 21 ′ 10 ′′ ) • 9.947346 log c 2.589811- . ' . c = 388.875 ; log a ( 439 ) 2.642465 log cos C ( 62 ° 21 ...
Page 31
... log sin C - 10 ; whence , log c 10- log a = log c ( 56.293 ) log sin C = log c + ( a . c . ) log sin C ; ( a . c . ) log sin C ( 54 ° 27 ′ 39 ′′ ) log a • 1.750454 • 0.089527 1.839981 . ' . a = 69.18 . • Applying logarithms to Formula ...
... log sin C - 10 ; whence , log c 10- log a = log c ( 56.293 ) log sin C = log c + ( a . c . ) log sin C ; ( a . c . ) log sin C ( 54 ° 27 ′ 39 ′′ ) log a • 1.750454 • 0.089527 1.839981 . ' . a = 69.18 . • Applying logarithms to Formula ...
Page 32
... log e + ( a . c . ) log sin C , and , log b = log a log cos C 10 ; log c ( 358 ) ( a . c . ) log sin C ( 61 ° 13 ′ ) log a log a ( 313.776 ) 2.553883 • 0.057274 2.611157 . ... a = 408.466 ; 2.611157 log cos C ( 61 ° 13 ′ ) 9.682595 log ...
... log e + ( a . c . ) log sin C , and , log b = log a log cos C 10 ; log c ( 358 ) ( a . c . ) log sin C ( 61 ° 13 ′ ) log a log a ( 313.776 ) 2.553883 • 0.057274 2.611157 . ... a = 408.466 ; 2.611157 log cos C ( 61 ° 13 ′ ) 9.682595 log ...
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Elements of Geometry and Trigonometry: From the Works of A. M. Legendre Adrien Marie Legendre,Charles Davies No preview available - 2016 |
Common terms and phrases
AB² ABCD AC² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm 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 polygon right-angled triangle Scholium secant segment semi-circumference side BC similar Sine slant height sphere spherical angle spherical polygon spherical triangle square straight line Tang tangent THEOREM triangle ABC triangular prisms upper base vertex vertices whence
Popular passages
Page 28 - If two triangles have two sides of the one equal to two sides of the...
Page 100 - The area of a triangle is equal to half the product of its base by its altitude.
Page 99 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Page 59 - A chord is a straight line joining the extremities of an arc.
Page 124 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 214 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 43 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 52 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Page 123 - Similar triangles are to each other as the squares of their homologous sides.
Page 182 - The upper end of the frustum of a pyramid or cone is called the upper base...