Elements of Geometry and Trigonometry: With Practical Applications |
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Page 18
... Cotang . .162696 1319.69 .241878 1115.78 Cotang . D. | Tang . M. 60.04 .999735 .07. M. Sine . 0 0.000000 0.000000 12345 6849 6.463726 5017.17 .000000 .00 6.463726 10.000000 Infinite . 60 5017.17 13.536274 59 2 .764756 2934.85 .000000 .00 ...
... Cotang . .162696 1319.69 .241878 1115.78 Cotang . D. | Tang . M. 60.04 .999735 .07. M. Sine . 0 0.000000 0.000000 12345 6849 6.463726 5017.17 .000000 .00 6.463726 10.000000 Infinite . 60 5017.17 13.536274 59 2 .764756 2934.85 .000000 .00 ...
Page 19
... Cotang . 0 1 8.241855 119.63 .249033 117.68 9.999934 .04 8.241921 .999932 .04 119.67 11.758079 60 .249102 117.72 .750898 59 2 .256094 115.80 .999929 .04 .256165 115.84 .743835 58 3 .263042 113.98 .999927 .04 .263115 114.02 .736885 57 4 ...
... Cotang . 0 1 8.241855 119.63 .249033 117.68 9.999934 .04 8.241921 .999932 .04 119.67 11.758079 60 .249102 117.72 .750898 59 2 .256094 115.80 .999929 .04 .256165 115.84 .743835 58 3 .263042 113.98 .999927 .04 .263115 114.02 .736885 57 4 ...
Page 20
... Cotang . I 012045 8.542819 60.04 .546422 59.55 .549995 59.06 9.999735 .07 .999731 .07 8.543084 60.12 .546691 59.62 ... Cotang . D. Tang . | M. MI Sine . D. | Cotang . 10 01237∞96 8.843585 870 20 2 ° LOGARITHMIC SINES , COSINES ,
... Cotang . I 012045 8.542819 60.04 .546422 59.55 .549995 59.06 9.999735 .07 .999731 .07 8.543084 60.12 .546691 59.62 ... Cotang . D. Tang . | M. MI Sine . D. | Cotang . 10 01237∞96 8.843585 870 20 2 ° LOGARITHMIC SINES , COSINES ,
Page 21
... Cotang . 11.280604 60 1 2 .721204 .723595 39.62 39.84 .999398 .11 .721806 39.95 .278194 59 .999391 .11 .724204 39.74 .275796 58 345678 .725972 39.41 .999384 .11 .726588 39.52 .273412 57 .728337 39.19 .999378 .11 .728959 39.30 .271041 56 ...
... Cotang . 11.280604 60 1 2 .721204 .723595 39.62 39.84 .999398 .11 .721806 39.95 .278194 59 .999391 .11 .724204 39.74 .275796 58 345678 .725972 39.41 .999384 .11 .726588 39.52 .273412 57 .728337 39.19 .999378 .11 .728959 39.30 .271041 56 ...
Page 22
... Cotang . 10 01237∞96 8.843585 30.05 .845387 29.92 9.998941 .998932 .15 8.844644 30.19 11.155356 60 .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 4 ...
... Cotang . 10 01237∞96 8.843585 30.05 .845387 29.92 9.998941 .998932 .15 8.844644 30.19 11.155356 60 .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 4 ...
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Common terms and phrases
A B C ABCD adjacent angles altitude angle equal base bisect centre chord circle circumference circumscribed cone convex surface cosec cosine Cotang cylinder diagonal diameter distance divided drawn equal Prop equilateral triangle equivalent exterior angle feet formed frustum gles greater half the sum hence homologous hypothenuse inches included angle inscribed less Let ABC line A B logarithm logarithmic sine mean proportional measured by half multiplied number of sides parallel parallelogram parallelopipedon pendicular perimeter perpendicular polyedron prism PROBLEM PROPOSITION pyramid quadrantal radii radius ratio rectangle regular polygon right angles right-angled triangle rods Scholium secant segment side A B similar sine slant height solidity solve the triangle sphere spherical polygon spherical triangle Tang tangent THEOREM triangle ABC triangle equal trigonometric functions vertex
Popular passages
Page 35 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 57 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 117 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Page 50 - If any number of magnitudes are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let A : B : : C : D : : E : F; then will A : B : : A + C + E : B + D + F.
Page 77 - Two rectangles having equal altitudes are to each other as their bases.
Page 158 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Page 313 - FRACTION is a negative number, and is one more tftan the number of ciphers between the decimal point and the first significant figure.
Page 314 - The logarithm of any POWER of a number is equal to the product of the logarithm of the number by the exponent of the power. For let m be any number, and take the equation (Art.
Page 100 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Page 244 - RULE. — Multiply the base by the altitude, and the product will be the area.