# The Theory of Navigation and Nautical Astronomy; Together with the Elements of Plane and Spherical Trigonometry, Etc

Bell and Daldy, 1869 - 154 sider

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Side 2 - We have, then, that the sine of an angle is equal to the cosine of its complement, and conversely.
Side 19 - Plane Triangle, As the Sum of any two Sides ; Is to their Difference ; So is the Tangent of half the Sum of the two opposite Angles ; To the Tangent of half the Difference between them.
Side 113 - Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.
Side 25 - A straight line is perpendicular, or at right angles, to a plane, when it makes right angles with every straight line meeting it in that plane. 4. A plane is perpendicular...
Side 8 - Formeln cos (a + b) = cos a cos b — sin a sin b, (2) cos (a — b) = cos a cos b + sin a sin b, (3...
Side 42 - The sum of the three sides of a spherical triangle is less than the circumference of a great circle. Let ABC be any spherical triangle; produce the sides AB, AU, till they meet again in D.
Side 26 - THEOREM. Every section of a sphere, made by a plane, is a circle.
Side 128 - ... 24". Required their distance. Ans. 1090.85 yards. 9. From the top of a mountain, three miles in height, the visible horizon appeared depressed 2° 13
Side 25 - The inclination of a plane to a plane is the acute angle contained by two straight lines drawn from any the...
Side 25 - The sphere may be conceived to be generated by the revolution of a semicircle DAE...