An introduction to the theory ... of plane and spherical trigonometry ... including the theory of navigation1839 |
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Σελίδα v
... compass . The distances of the planets from the 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 ...
... compass . The distances of the planets from the 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 ...
Σελίδα 16
... compasses in a , transfer the distances A1 , A2 , A3 , & c . to the straight line AD , and it will be a line of rhumbs containing eight points of the compass , or one fourth of the whole circumference of the compass . By subdividing ...
... compasses in a , transfer the distances A1 , A2 , A3 , & c . to the straight line AD , and it will be a line of rhumbs containing eight points of the compass , or one fourth of the whole circumference of the compass . By subdividing ...
Σελίδα 18
... compasses from m to 2 , towards H ; with one leg fixed in the point 2 , extend the other till it reaches 4 in the line mn ; move one leg of the compasses along the line 2 , 7 , and the other along the line 4 , till you come to the line ...
... compasses from m to 2 , towards H ; with one leg fixed in the point 2 , extend the other till it reaches 4 in the line mn ; move one leg of the compasses along the line 2 , 7 , and the other along the line 4 , till you come to the line ...
Σελίδα 21
... compass ; and setting them off from the right hand end of the scale towards the left . ( 42 ) The line of tangents is constructed in the same manner as that of the sines , by setting off the arithmetical complements of the tangents ...
... compass ; and setting them off from the right hand end of the scale towards the left . ( 42 ) The line of tangents is constructed in the same manner as that of the sines , by setting off the arithmetical complements of the tangents ...
Σελίδα 22
... compass , and setting them from the end of the line towards the left hand . ( 44 ) The line of versed sines is ... compasses to the sine of half the sum of the three sides , and this extent applied the same way will reach from the ...
... compass , and setting them from the end of the line towards the left hand . ( 44 ) The line of versed sines is ... compasses to the sine of half the sum of the three sides , and this extent applied the same way will reach from the ...
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.