An introduction to the theory ... of plane and spherical trigonometry ... including the theory of navigation1839 |
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Σελίδα xx
... hour the exercise of those strong mental faculties , and of those kind and gentle manners , which had so much endeared him to his family and friends . Mr. Keith left behind him , nearly completed , a new work on the science of Geography ...
... hour the exercise of those strong mental faculties , and of those kind and gentle manners , which had so much endeared him to his family and friends . Mr. Keith left behind him , nearly completed , a new work on the science of Geography ...
Σελίδα xxv
... hour of the day 6. The difference of longitude between two places , both in one parallel of latitude , being given , to find the distance between them , & c . • • 293 295 • 297 CHAP . XII . THE APPLICATION OF RICAL TRIANGLES TO OBLIQUE ...
... hour of the day 6. The difference of longitude between two places , both in one parallel of latitude , being given , to find the distance between them , & c . • • 293 295 • 297 CHAP . XII . THE APPLICATION OF RICAL TRIANGLES TO OBLIQUE ...
Σελίδα xxvi
... hour of the day 14. Continued . The construction of the xvith of the REQUISITE TABLES , used in finding the latitude by two altitudes of the sun ( Note ) 15. Given the latitude of the place , the declination and the altitude of a known ...
... hour of the day 14. Continued . The construction of the xvith of the REQUISITE TABLES , used in finding the latitude by two altitudes of the sun ( Note ) 15. Given the latitude of the place , the declination and the altitude of a known ...
Σελίδα xxvii
... hour angle . 360 14. The error in the altitude of any tower , or other object , is to the error committed in taking the angle of elevation , as double the height of the observed object , is to the sine of double the angle of ele- vation ...
... hour angle . 360 14. The error in the altitude of any tower , or other object , is to the error committed in taking the angle of elevation , as double the height of the observed object , is to the sine of double the angle of ele- vation ...
Σελίδα 12
... hours . Ans . 4m 50.6 . 18. Find a fourth proportional to 23h 12m 375 ; 24 hours ; and 7h 59m 34s . Ans . 8h 15m 53s . CHAP . III . THE USE OF THE TABLES OF SINES AND TANGENTS . * PROPOSITION 1 . ( 17 ) To find the natural sine or ...
... hours . Ans . 4m 50.6 . 18. Find a fourth proportional to 23h 12m 375 ; 24 hours ; and 7h 59m 34s . Ans . 8h 15m 53s . CHAP . III . THE USE OF THE TABLES OF SINES AND TANGENTS . * PROPOSITION 1 . ( 17 ) To find the natural sine or ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 23 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Σελίδα 330 - Method of correcting the apparent distance of the Moon from the Sun, or a Star, for the effects of Parallax and Refraction.