An introduction to the theory ... of plane and spherical trigonometry ... including the theory of navigation1839 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 94.
Σελίδα
... Latitude by two Altitudes of the 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 ...
... Latitude by two Altitudes of the 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 ...
Σελίδα v
... latitudes and longitudes : it may , therefore , justly be considered as the basis of Astronomy and Geography . Navigation , with all its modern improvements , depends entirely on Trigonometry , which is likewise the foundation of ...
... latitudes and longitudes : it may , therefore , justly be considered as the basis of Astronomy and Geography . Navigation , with all its modern improvements , depends entirely on Trigonometry , which is likewise the foundation of ...
Σελίδα viii
... latitude and comprehension ; where the student may have a little pre - notion of every thing , like a model towards a great building . " Convinced of the propriety of these remarks , the author has employed much time and attention in ...
... latitude and comprehension ; where the student may have a little pre - notion of every thing , like a model towards a great building . " Convinced of the propriety of these remarks , the author has employed much time and attention in ...
Σελίδα xiii
... latitudes and longitudes of places must be changed , which change would render all the different works on Geo- graphy useless ; or otherwise the Astronomers , and those in the habit of making trigonometrical calculations , must be per ...
... latitudes and longitudes of places must be changed , which change would render all the different works on Geo- graphy useless ; or otherwise the Astronomers , and those in the habit of making trigonometrical calculations , must be per ...
Σελίδα xxv
... 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 of the place , and the sun's ( or a star's ) declination being given , to find ...
... 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 of the place , and the sun's ( or a star's ) declination being given , to find ...
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.