An introduction to the theory ... of plane and spherical trigonometry ... including the theory of navigation1839 |
Inni boken
Resultat 6-10 av 33
Side 1
... division by sub- traction , involution by multiplication , and the extraction of roots by division . Logarithms may therefore be considered as indices to a series of numbers in geometrical progression , where the first term is unity ...
... division by sub- traction , involution by multiplication , and the extraction of roots by division . Logarithms may therefore be considered as indices to a series of numbers in geometrical progression , where the first term is unity ...
Side 2
... division , and those of the arithmetical progression by subtraction . The same observations apply to logarithms when they are fractions ; thus if r n 2 3 4 5 6 r " , r " , denote any number , then will r ° , r " , r " , r " , & c ...
... division , and those of the arithmetical progression by subtraction . The same observations apply to logarithms when they are fractions ; thus if r n 2 3 4 5 6 r " , r " , denote any number , then will r ° , r " , r " , r " , & c ...
Side 11
... division according to the directions given in the 10th Proposition : for , the numerator denotes the power to which the given number is to be raised , and the denominator shows what root of that power is to be extracted . 25 18 What is ...
... division according to the directions given in the 10th Proposition : for , the numerator denotes the power to which the given number is to be raised , and the denominator shows what root of that power is to be extracted . 25 18 What is ...
Side 16
... divisions in the same manner to the line BD . ( 25 ) Sines . Through each of the divisions of the arc BD draw lines parallel to CD , such as 80-10 , 70-20 , & c . , and the line CB will be divided into a line of sines reckoning from c ...
... divisions in the same manner to the line BD . ( 25 ) Sines . Through each of the divisions of the arc BD draw lines parallel to CD , such as 80-10 , 70-20 , & c . , and the line CB will be divided into a line of sines reckoning from c ...
Side 17
... division on the line m n , draw diagonals to the points of division on the line op , viz . join m and the first division on or , the first division on m n , and the second on op , & c . The chief use of such a scale as this , is to lay ...
... division on the line m n , draw diagonals to the points of division on the line op , viz . join m and the first division on or , the first division on m n , and the second on op , & c . The chief use of such a scale as this , is to lay ...
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.