An introduction to the theory ... of plane and spherical trigonometry ... including the theory of navigation |
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Συχνά εμφανιζόμενοι όροι και φράσεις
acute added altitude Answer apparent applied base CALCULATION called centre chords circle compasses complement consequently CONSTRUCTION contained cosec cosine cotangent declination describe difference distance divided division double draw equal equations EXAMPLE extent extremes falls feet figure find the angle formed given gives greater Greenwich half height hence horizon hour hypothenuse latitude less logarithm longitude manner mean measure meridian middle miles natural noon North object oblique observed obtuse opposite parallel perpendicular plane triangle Plate pole PRACTICAL primitive PROBLEM projected proportional PROPOSITION quadrant radius remainder Required right angles right ascension RULE scale secant side side ac similar sine species sphere star subtract sun's supplement Suppose taken tangent term third triangle ABC true versed sine vertical yards
Δημοφιλή αποσπάσματα
Σελίδα 109 - 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.
Σελίδα 141 - Consequently, a line drawn from the vertex of an isosceles triangle to the middle of the base, bisects the vertical angle, and is perpendicular to the base.
Σελίδα 33 - An angle at the circumference of a circle is measured by half the arc that subtends it. Let BAC be an angle at the circumference : it has for its measure half the arc "BC, which subtends it.
Σελίδα 29 - The sine, or right sine, of an arc, is the line drawn from one extremity of the arc, perpendicular to the diameter passing through the other extremity. Thus, BF is the sine of the arc AB, or of the arc BDE.
Σελίδα 256 - The HORIZON is a great circle which separates the visible half of the heavens from the invisible ; the earth being considered as a point in the centre of the sphere of the fixed stars.
Σελίδα 116 - C = sin. A sin. B sin. C; dividing both sides of this equation by cos. A cos. B cos. C, we have sin. A sin. B sin. C _ sin.
Σελίδα 360 - Now it is plain, that if any great circle of the sphere (as 1, 2, 3.) be divided into any number of equal parts, and through the points of division...
Σελίδα 23 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Σελίδα 328 - Method of correcting the apparent distance of the Moon from the Sun, or a Star, for the effects of Parallax and Refraction.