An introduction to the theory ... of plane and spherical trigonometry ... including the theory of navigation1839 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 38.
Σελίδα x
... vertical angle of a spherical triangle upon the base , as in proposition xxv , page 173 , & c . The sixth , seventh , eighth , and ninth Chapters contain the logarithmical solutions of the various cases of Spherical Tri- gonometry . The ...
... vertical angle of a spherical triangle upon the base , as in proposition xxv , page 173 , & c . The sixth , seventh , eighth , and ninth Chapters contain the logarithmical solutions of the various cases of Spherical Tri- gonometry . The ...
Σελίδα xxiv
... VERTICAL ANGLE UPON THE BASE 174 to 182 INVESTIGATION OF GENERAL RULES FOR CALCU- LATING THE SIDES AND ANGLES OF OBLIQUE- ANGLED SPHERICAL TRIANGLES WITHOUT A PERPENDICULAR • · · 182 to 194 GENERAL FORMULE for the solution of the ...
... VERTICAL ANGLE UPON THE BASE 174 to 182 INVESTIGATION OF GENERAL RULES FOR CALCU- LATING THE SIDES AND ANGLES OF OBLIQUE- ANGLED SPHERICAL TRIANGLES WITHOUT A PERPENDICULAR • · · 182 to 194 GENERAL FORMULE for the solution of the ...
Σελίδα 29
... vertical angle , or to the complement of half the vertical angle . ( 84 ) If two straight lines intersect each other , the vertical or opposite angles will be equal . ( 85 ) If a straight line intersect two parallel straight lines , it ...
... vertical angle , or to the complement of half the vertical angle . ( 84 ) If two straight lines intersect each other , the vertical or opposite angles will be equal . ( 85 ) If a straight line intersect two parallel straight lines , it ...
Σελίδα 39
... vertical angle upon the base or upon the base produced . 1. If the perpendicular falls within the triangle ac2 AB2 + BC2 ( 13 EUCLID II . ) - 2AB . BD . 2. If the perpendicular falls without the triangle AC2AB + BC2 + 2AB . BD . ( 13 ...
... vertical angle upon the base or upon the base produced . 1. If the perpendicular falls within the triangle ac2 AB2 + BC2 ( 13 EUCLID II . ) - 2AB . BD . 2. If the perpendicular falls without the triangle AC2AB + BC2 + 2AB . BD . ( 13 ...
Σελίδα 61
... vertical arc ; and if the horizontal and vertical arcs of the in- strument be described with a radius of not less than 31 inches , the observed angles may be measured to half a minute , or the 120th part of a degree . ( 142 ) Angles ...
... vertical arc ; and if the horizontal and vertical arcs of the in- strument be described with a radius of not less than 31 inches , the observed angles may be measured to half a minute , or the 120th part of a degree . ( 142 ) Angles ...
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.