An introduction to the theory ... of plane and spherical trigonometry ... including the theory of navigation1839 |
Inni boken
Resultat 1-5 av 53
Side xxviii
... Middle Latitude sailing Mercator's sailing 382 to 383 384 to 393 TABLES . I. A Table of the LOGARITHMS of numbers , from a unit to ten thousand • 393 to 408 409 to 417 II . A Table of NATURAL SINES to every degree and minute of the ...
... Middle Latitude sailing Mercator's sailing 382 to 383 384 to 393 TABLES . I. A Table of the LOGARITHMS of numbers , from a unit to ten thousand • 393 to 408 409 to 417 II . A Table of NATURAL SINES to every degree and minute of the ...
Side 18
... middle of the scale with 1 , 2 , 3 , 4 , towards the right hand , and back again with the numbers 5 , 6 , 7 , from the right hand towards the left . To take off any number of points below 4 , we must begin at 1 and count towards the ...
... middle of the scale with 1 , 2 , 3 , 4 , towards the right hand , and back again with the numbers 5 , 6 , 7 , from the right hand towards the left . To take off any number of points below 4 , we must begin at 1 and count towards the ...
Side 19
... middle 1 and the numbers 2 , 3 , 4 , & c . which follow it . The subdivisions of these scales are likewise similar ... middle 1 is 10 , and the 2 , 3 , 4 , & c . following stand for 20 , 30 , 40 , & c . , and the ten at the right hand is ...
... middle 1 and the numbers 2 , 3 , 4 , & c . which follow it . The subdivisions of these scales are likewise similar ... middle 1 is 10 , and the 2 , 3 , 4 , & c . following stand for 20 , 30 , 40 , & c . , and the ten at the right hand is ...
Side 25
... middle letter always stands at the angular point , and the other two letters at the extremities of the lines which form the angle ; thus the angle ABC is formed by the lines AB and CB , and that of abc by the lines aв and CB , & c ...
... middle letter always stands at the angular point , and the other two letters at the extremities of the lines which form the angle ; thus the angle ABC is formed by the lines AB and CB , and that of abc by the lines aв and CB , & c ...
Side 37
... middle of the base ; this dis- tance , added to half the base , gives the greater segment , and being subtracted leaves the less . Let ABC be the triangle , with c as a centre , and the radius CB = the least side , describe a circle ...
... middle of the base ; this dis- tance , added to half the base , gives the greater segment , and being subtracted leaves the less . Let ABC be the triangle , with c as a centre , and the radius CB = the least side , describe a circle ...
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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...
Side 23 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Side 330 - Method of correcting the apparent distance of the Moon from the Sun, or a Star, for the effects of Parallax and Refraction.