An introduction to the theory ... of plane and spherical trigonometry ... including the theory of navigation1839 |
Inni boken
Resultat 1-5 av 45
Side xvii
... produced . In 1789 he published " The Complete Practical Arith- metician , " to which " A Key " was added in 1790 , for the use of students . In 1791 , an Abridgement of " The Complete Practical Arithmetician * , " for the use of young ...
... produced . In 1789 he published " The Complete Practical Arith- metician , " to which " A Key " was added in 1790 , for the use of students . In 1791 , an Abridgement of " The Complete Practical Arithmetician * , " for the use of young ...
Side 11
... produces - 26-55675 ; this divided by 18 ( Prop . X. ) 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 ...
... produces - 26-55675 ; this divided by 18 ( Prop . X. ) 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 ...
Side 16
... produce it to F , & c .; draw BE parallel to CF , and join AD and BD . ( 23 ) Rhumbs . Divide the quadrantal arc AD into eight equal parts , with one foot of the compasses in a , transfer the distances A1 , A2 , A3 , & c . to the ...
... produce it to F , & c .; draw BE parallel to CF , and join AD and BD . ( 23 ) Rhumbs . Divide the quadrantal arc AD into eight equal parts , with one foot of the compasses in a , transfer the distances A1 , A2 , A3 , & c . to the ...
Side 27
... Produce the line BD to e , with the centre D and the chord of 60 ° describe a semicircle , take the given obtuse angle from 180 ° e Take the ex- f ... e B -B and set off the remainder , viz . 30 ° from e to c , through c draw CD , then ...
... Produce the line BD to e , with the centre D and the chord of 60 ° describe a semicircle , take the given obtuse angle from 180 ° e Take the ex- f ... e B -B and set off the remainder , viz . 30 ° from e to c , through c draw CD , then ...
Side 29
... produced or ex- tended beyond the angular point , the outward angle will be equal to the two inward angles , C opposite to the angular point where 64 the side is extended . Thus in the triangle ABC , if the measure of the angles be as ...
... produced or ex- tended beyond the angular point , the outward angle will be equal to the two inward angles , C opposite to the angular point where 64 the side is extended . Thus in the triangle ABC , if the measure of the angles be as ...
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.