An introduction to the theory ... of plane and spherical trigonometry ... including the theory of navigation1839 |
Inni boken
Resultat 1-5 av 62
Side iii
... gives to the computer a greater facility and confidence in the use of tables , and has in consequence been adopted . The examples and numerical operations have all been carefully exa- mined , so that few errors of consequence are likely ...
... gives to the computer a greater facility and confidence in the use of tables , and has in consequence been adopted . The examples and numerical operations have all been carefully exa- mined , so that few errors of consequence are likely ...
Side 10
... gives 0.25527 , the number answering to which is 18 . What is the cube root of 10648 ? Logarithm of 10648 is 4.02727 , which divided by 3 gives 1.34242 , the number answering to which is 22 . What is the cube root of 0003811 ? The ...
... gives 0.25527 , the number answering to which is 18 . What is the cube root of 10648 ? Logarithm of 10648 is 4.02727 , which divided by 3 gives 1.34242 , the number answering to which is 22 . What is the cube root of 0003811 ? The ...
Side 11
... gives - 2-58649 , the number answering to which is ' 03859 . Answer . PROPOSITION XII . ( 16 ) To find a fourth proportional to three given numbers ; or to work a question in the rule of three by logarithms . RULE . Add the logarithms ...
... gives - 2-58649 , the number answering to which is ' 03859 . Answer . PROPOSITION XII . ( 16 ) To find a fourth proportional to three given numbers ; or to work a question in the rule of three by logarithms . RULE . Add the logarithms ...
Side 14
... give the number of seconds , which must be added to the de- grees and minutes corresponding to the next less number in the tables , if your given logarithm be a sine , tangent , or secant ; but if your given logarithm be a cosine ...
... give the number of seconds , which must be added to the de- grees and minutes corresponding to the next less number in the tables , if your given logarithm be a sine , tangent , or secant ; but if your given logarithm be a cosine ...
Side 17
... give the divisions of the line of longitude . If this line be laid upon the scale , close to the line of chords ( as in Fig . III . ) both inverted , so that 60 on the scale of longitude be against 0 on the chords , & c . , and any ...
... give the divisions of the line of longitude . If this line be laid upon the scale , close to the line of chords ( as in Fig . III . ) both inverted , so that 60 on the scale of longitude be against 0 on the chords , & c . , and any ...
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.