Elements of Geometry and Trigonometry |
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Page 19
... Cotang . OH2O GOO D 8.241855 119.63 9.999934 • 04 8.241921 119.67 11.758079 | 60 249033 117.68 999932 • 04 249102 117.72 750898 59 256094 115.80 999929 · 04 256165 115.84 743835 263042 113.98 999927 • 04 263115 114.02 736885 57 269881 ...
... Cotang . OH2O GOO D 8.241855 119.63 9.999934 • 04 8.241921 119.67 11.758079 | 60 249033 117.68 999932 • 04 249102 117.72 750898 59 256094 115.80 999929 · 04 256165 115.84 743835 263042 113.98 999927 • 04 263115 114.02 736885 57 269881 ...
Page 20
... Cotang . 0 8.542819 60.04 9.999735 .07 8.543084 60.12 11.456916 60 10 1234507∞ ∞ 0 I 546422 59.55 549995 59.06 ... Cotang . 719396 40.17 D. 280604 0 Tang . M. ( 87 DEGREES . ) M. Sine D. Cosine D. Tang . D. Cotang . 20 ( 2 DEGREES ...
... Cotang . 0 8.542819 60.04 9.999735 .07 8.543084 60.12 11.456916 60 10 1234507∞ ∞ 0 I 546422 59.55 549995 59.06 ... Cotang . 719396 40.17 D. 280604 0 Tang . M. ( 87 DEGREES . ) M. Sine D. Cosine D. Tang . D. Cotang . 20 ( 2 DEGREES ...
Page 21
... Cotang . 0 8.718800 40.06 9.999404 • II 8.719396 40.17 11.280604 60 I 721204 39.84 999398 • II 721806 39.95 278194 ... Cotang . D. Tang . M. ( 86 degrees . ) M. Sine D. Cosine D. Tang . D. Cotang . SINES AND TANGENTS . ( 3 DEGREES . ) 21.
... Cotang . 0 8.718800 40.06 9.999404 • II 8.719396 40.17 11.280604 60 I 721204 39.84 999398 • II 721806 39.95 278194 ... Cotang . D. Tang . M. ( 86 degrees . ) M. Sine D. Cosine D. Tang . D. Cotang . SINES AND TANGENTS . ( 3 DEGREES . ) 21.
Page 22
... Cotang . 0123 4OO г∞ 8.843585 30.05 9.998941 .15 8.844644 30.19 11.155356 60 I 845387 29.92 998932 • 15 846455 30.07 153545 | 59 847183 29.80 998923 • 15 848260 29.95 151740 58 848971 29.67 998914 • 15 850057 29.82 149943 57 850751 ...
... Cotang . 0123 4OO г∞ 8.843585 30.05 9.998941 .15 8.844644 30.19 11.155356 60 I 845387 29.92 998932 • 15 846455 30.07 153545 | 59 847183 29.80 998923 • 15 848260 29.95 151740 58 848971 29.67 998914 • 15 850057 29.82 149943 57 850751 ...
Page 23
... Cotang . ΙΟ O 1234O700 8.940296 24.03 9.998344 • 19 8.941952 24.21 11.058048 60 I 941738 23.94 998333 • 19 943404 ... Cotang . 978380 0 Tang . M. M. Sine D. Cosine D. Tang . D. Cotang . SINES AND TANGENTS . 23 ( 5 DEGREE . )
... Cotang . ΙΟ O 1234O700 8.940296 24.03 9.998344 • 19 8.941952 24.21 11.058048 60 I 941738 23.94 998333 • 19 943404 ... Cotang . 978380 0 Tang . M. M. Sine D. Cosine D. Tang . D. Cotang . SINES AND TANGENTS . 23 ( 5 DEGREE . )
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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
adjacent angles altitude angle ACB angle BAD bisect centre chord circ circumference circumscribed common comp cone consequently convex surface cos² Cosine Cosine D Cotang cylinder diagonal diameter distance divided draw drawn equations equivalent feet figure find the area frustum given angle given line gles greater hence homologous homologous sides hypothenuse included angle inscribed circle intersect less Let ABC let fall logarithm magnitudes measured by half middle point number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpendicular plane MN polyedral angle polyedron PROBLEM PROPOSITION pyramid quadrant radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sin² sine slant height solidity sphere spherical polygon spherical triangle square described straight line Tang tangent THEOREM triangle ABC triangular prism triedral angles vertex vertices ΙΟ
Popular passages
Page 24 - If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal.
Page 38 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
Page 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Page 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Page 43 - Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon has sides, and consequently, equal to the sum of the interior angles plus the sum of the exterior angles.
Page 215 - The surface of a sphere is equal to the product of its diameter by the circumference of a great circle.
Page 107 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Page 93 - The area of a parallelogram is equal to the product of its base and altitude.
Page 231 - The angles of spherical triangles may be compared together, by means of the arcs of great circles described from their vertices as poles and included between their sides : hence it is easy to make an angle of this kind equal to a given angle.
Page 232 - F, be respectively poles of the sides BC, AC, AB. For, the point A being the pole of the arc EF, the distance AE is a 'quadrant ; the point C being the pole of the arc DE, the distance CE is likewise a quadrant : hence the point E is...