An introduction to the theory ... of plane and spherical trigonometry ... including the theory of navigation1839 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 37.
Σελίδα x
... applying Baron Napier's rule to the solutions of the different cases of oblique- angled spherical triangles , from which several useful rules are derived . The fifth Chapter is , in substance , the same as the IVth Chapter of Book II ...
... applying Baron Napier's rule to the solutions of the different cases of oblique- angled spherical triangles , from which several useful rules are derived . The fifth Chapter is , in substance , the same as the IVth Chapter of Book II ...
Σελίδα xiv
... applied in extensive trigonome- trical surveys . Book IV . treats of the Theory of Navigation ; a subject intimately connected with Trigonometry , and immediately derived from the sphere . The work CONCLUDES with a table of the ...
... applied in extensive trigonome- trical surveys . Book IV . treats of the Theory of Navigation ; a subject intimately connected with Trigonometry , and immediately derived from the sphere . The work CONCLUDES with a table of the ...
Σελίδα 17
... applied to a larger scale of chords , as appears by Fig . III . ( 30 ) Equal parts . The divisions of the line Ac to form the miles of longitude may be considered as a scale of equal parts , and on some plane scales are laid down as ...
... applied to a larger scale of chords , as appears by Fig . III . ( 30 ) Equal parts . The divisions of the line Ac to form the miles of longitude may be considered as a scale of equal parts , and on some plane scales are laid down as ...
Σελίδα 18
... applied it to the two feet rulers , or rather to the cross - staff . Wingate drew the logarithms on two separate rules sliding against each other , to save the use of compasses . Oughtred applied the logarithms to concentric circles ...
... applied it to the two feet rulers , or rather to the cross - staff . Wingate drew the logarithms on two separate rules sliding against each other , to save the use of compasses . Oughtred applied the logarithms to concentric circles ...
Σελίδα 20
... applied to the line of equal parts , will give ( in degrees ) the meridional parts answering to the latitude of that division . Or the extent from any division to another on the line of meridional parts , applied to the line of equal ...
... applied to the line of equal parts , will give ( in degrees ) the meridional parts answering to the latitude of that division . Or the extent from any division to another on the line of meridional parts , applied to the line of equal ...
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.