An introduction to the theory ... of plane and spherical trigonometry ... including the theory of navigation1839 |
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Σελίδα
... Sun , the Longitude by the Lunar Observations , and to other important Problems on the Sphere , and on Nautical Astronomy . BY THOMAS KEITH . THE SEVENTH EDITION , CORRECTED AND IMPROVED , BY SAMUEL MAYNARD , Author of the Key to ...
... Sun , the Longitude by the Lunar Observations , and to other important Problems on the Sphere , and on Nautical Astronomy . BY THOMAS KEITH . THE SEVENTH EDITION , CORRECTED AND IMPROVED , BY SAMUEL MAYNARD , Author of the Key to ...
Σελίδα v
... sun , their motions , eclipses , and other phenomena , are calculated by Trigono- metry ; as are likewise the distances and positions of places on the earth , with their latitudes and longitudes : it may , therefore , justly be ...
... sun , their motions , eclipses , and other phenomena , are calculated by Trigono- metry ; as are likewise the distances and positions of places on the earth , with their latitudes and longitudes : it may , therefore , justly be ...
Σελίδα xi
... sun and the moon , or between the moon and a star , by having the apparent distance and the apparent altitudes of these objects given , is shorter than any that has hitherto appeared , where the common tables only are used , besides ...
... sun and the moon , or between the moon and a star , by having the apparent distance and the apparent altitudes of these objects given , is shorter than any that has hitherto appeared , where the common tables only are used , besides ...
Σελίδα xxiv
... known meridian 5. To reduce the declination of the sun , as given in the Nautical Almanac , to any other meridian , and to any given time of the day • • 267 269 • • 270 Prob . 6. To reduce the semi - diameter or xxiv CONTENTS .
... known meridian 5. To reduce the declination of the sun , as given in the Nautical Almanac , to any other meridian , and to any given time of the day • • 267 269 • • 270 Prob . 6. To reduce the semi - diameter or xxiv CONTENTS .
Σελίδα xxv
... sun's lon- gitude , to find his right ascension and declination 2. Given the latitude of the place , and the sun's declin- ation , to find his amplitude , ascensional difference , and the time of his rising and setting 3. The latitude ...
... sun's lon- gitude , to find his right ascension and declination 2. Given the latitude of the place , and the sun's declin- ation , to find his amplitude , ascensional difference , and the time of his rising and setting 3. The latitude ...
Συχνά εμφανιζόμενοι όροι και φράσεις
acute altitude angle CAB arc BF base centre complement construction cosec cosine cotangent degrees diff difference of latitude distance division draw ecliptic equator Euclid extent will reach find the angle formulæ given angle given side greater Greenwich half the sum Hence horizon hypoth less line of numbers line of sines logarithm logarithmic sine mean arc measure meridian moon's natural number Nautical Almanac observed obtuse opposite angles parallax parallel perpendicular plane sailing Plate pole primitive PROPOSITION quadrant rad2 radius rhumb line right angles right ascension right-angled plane triangle right-angled spherical triangle right-angled triangle RULE scale of chords scale of equal SCHOLIUM secant semi-tangents side AC side opposite sin² sphere spherical angle spherical triangle ABC spherical trigonometry straight line subtract supplement Tang tangent of half three angles three sides Trigonometry versed sine
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 258 - 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 362 - 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 330 - Method of correcting the apparent distance of the Moon from the Sun, or a Star, for the effects of Parallax and Refraction.