Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous Practical Problems |
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Page 21
... Tang . Sine . 00.000000 D. 10 " Cosine . D. 10'1 Tang . D. 10 " Colang . 10.000000 0.000000 Infinite . 16.463726 000000 6.463726 2 764756 000000 764756 3 940347 000000 940847 4 7.065786 000000 7.065786 N.sine . N. cos . 13.536274 00029 ...
... Tang . Sine . 00.000000 D. 10 " Cosine . D. 10'1 Tang . D. 10 " Colang . 10.000000 0.000000 Infinite . 16.463726 000000 6.463726 2 764756 000000 764756 3 940347 000000 940847 4 7.065786 000000 7.065786 N.sine . N. cos . 13.536274 00029 ...
Page 22
... Tang . D 10 " Corang . N. sine . N. cos . 08.241855 19.999934 8.241921 11.758079 01742 99985 60 1196 0.4 1197 1 ... Tang . N. cos . N.sine . 88 Degrees . Sine D. 10 " Cosine . D. 10 " Tang 22 TABLE II . Log . Sines and Tangents . ( 10 ) ...
... Tang . D 10 " Corang . N. sine . N. cos . 08.241855 19.999934 8.241921 11.758079 01742 99985 60 1196 0.4 1197 1 ... Tang . N. cos . N.sine . 88 Degrees . Sine D. 10 " Cosine . D. 10 " Tang 22 TABLE II . Log . Sines and Tangents . ( 10 ) ...
Page 23
... Tang . [ D. 10 " Cotang . N. sine.IN. cos . 08.542819 9.999735 600 0.7 1 546422 999731 595 0.7 2 549995 999726 8.543084 546691 550268 602 596 591 0.7 591 3 553539 586 999722 553817 0.8 587 4 557054 999717 557335 581 0.8 582 5 560540 ...
... Tang . [ D. 10 " Cotang . N. sine.IN. cos . 08.542819 9.999735 600 0.7 1 546422 999731 595 0.7 2 549995 999726 8.543084 546691 550268 602 596 591 0.7 591 3 553539 586 999722 553817 0.8 587 4 557054 999717 557335 581 0.8 582 5 560540 ...
Page 24
... Tang . JD . 10 Cotang . N. sine N. cos . 03.718800 9.999404 3.719396 401 1.1 721204 999398 398 2 1.1 723595 999391 721806 724204 402 399 396 397 725972 999384 726588 394 1.1 395 728337 999378 728959 392 5 1.1 393 730388 999371 731317 ...
... Tang . JD . 10 Cotang . N. sine N. cos . 03.718800 9.999404 3.719396 401 1.1 721204 999398 398 2 1.1 723595 999391 721806 724204 402 399 396 397 725972 999384 726588 394 1.1 395 728337 999378 728959 392 5 1.1 393 730388 999371 731317 ...
Page 25
... Tang . D. 10 " Cotang . IN . sine.IN. cos . 08.843585 9.998941 300 8.844644 11.155356 06976 99756 60 1.5 302 845387 998932 846455 299 153545 1.5 07005 99754 59 301 2 847183 998923 848260 298 1.5 299 3 848971 998914 850057 297 1.5 298 4 ...
... Tang . D. 10 " Cotang . IN . sine.IN. cos . 08.843585 9.998941 300 8.844644 11.155356 06976 99756 60 1.5 302 845387 998932 846455 299 153545 1.5 07005 99754 59 301 2 847183 998923 848260 298 1.5 299 3 848971 998914 850057 297 1.5 298 4 ...
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Common terms and phrases
ABCD altitude angle opposite axis bisected chord circle circumference circumscribed common cone convex surface cos.a cos.c Cosine Cotang diagonal diameter dicular difference distance divided draw equal angles equation equiangular equivalent find the angles four magnitudes frustum given line greater half Hence the theorem homologous hypotenuse included angle inscribed intersect isosceles less Let ABC logarithm measured multiplied N.sine number of sides opposite angles parallelogram parallelopipedon pendicular perpen perpendicular plane ST polyedron PROB PROBLEM produced Prop proportion PROPOSITION prove pyramid quadrantal radii radius rectangle regular polygon right angles right-angled spherical triangle right-angled triangle SCHOLIUM secant segment similar sin.a sin.b sin.c sine solid angles sphere SPHERICAL TRIGONOMETRY square straight line Tang tangent three angles three sides triangle ABC triangular prisms Trigonometry vertex vertical angle volume
Popular passages
Page 322 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Page 30 - Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 123 - In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given circle, and DEF the given triangle ; it is required to inscribe in the circle ABC a triangle equiangular to the triangle DEF.
Page 58 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.
Page 29 - If one side of a triangle is produced, the exterior angle is equal to the sum of the two interior and opposite, angles; and the three interior angles of every triangle are equal to two right angles.
Page 41 - 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 96 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Page 65 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Page 77 - FGL ; (vi. 6.) and therefore similar to it ; (vi. 4.) wherefore the angle ABE is equal to the angle FGL: and, because the polygons are similar, the whole angle ABC is equal to the whole angle FGH ; (vi.
Page 113 - From a given point, to draw a line parallel to a given line. Let A be the given point, and BC the given line.