An introduction to the theory ... of plane and spherical trigonometry ... including the theory of navigation1839 |
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Resultat 1-5 av 55
Side viii
... contain information which will be useful on several occasions . The fifth Chapter is nearly the same as Chap . I. Book I. of the first edition , except that the formulæ have been somewhat extended . The substance of the two general ...
... contain information which will be useful on several occasions . The fifth Chapter is nearly the same as Chap . I. Book I. of the first edition , except that the formulæ have been somewhat extended . The substance of the two general ...
Side x
... contain the logarithmical solutions of the various cases of Spherical Tri- gonometry . The tenth , eleventh , and twelfth Chapters include the sub- stance of Book III . of the first edition , though the matter has undergone a ...
... contain the logarithmical solutions of the various cases of Spherical Tri- gonometry . The tenth , eleventh , and twelfth Chapters include the sub- stance of Book III . of the first edition , though the matter has undergone a ...
Side xxviii
... contained be- tween the objects , to find the horizontal angle 374 BOOK IV . THE THEORY OF NAVIGATION . CHAPTER I. Definitions and Plane sailing 203 · CHAP . II . CHAP . III . 377 to 381 Parallel and Middle Latitude sailing Mercator's ...
... contained be- tween the objects , to find the horizontal angle 374 BOOK IV . THE THEORY OF NAVIGATION . CHAPTER I. Definitions and Plane sailing 203 · CHAP . II . CHAP . III . 377 to 381 Parallel and Middle Latitude sailing Mercator's ...
Side 4
... contained in the natural whole number to which it belongs . ( 3 ) Required the logarithm of 5 . Look in the table in the column marked No. for 5 , and against it in the colum log . stands 69897. The natural num- ber containing but one ...
... contained in the natural whole number to which it belongs . ( 3 ) Required the logarithm of 5 . Look in the table in the column marked No. for 5 , and against it in the colum log . stands 69897. The natural num- ber containing but one ...
Side 10
... contain the divisor , increase it by such a number as will make it exactly divisible , and increase the logarithm also by the same number before you begin to divide . What is the square root of 3.24 ? Logarithm of 3.24 is 0.51055 ...
... contain the divisor , increase it by such a number as will make it exactly divisible , and increase the logarithm also by the same number before you begin to divide . What is the square root of 3.24 ? Logarithm of 3.24 is 0.51055 ...
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.