An introduction to the theory ... of plane and spherical trigonometry ... including the theory of navigation1839 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 45.
Σελίδα 16
... Describe a semicircle with any convenient radius CB ( Fig . I. Plate II . ) ; from the centre c draw CD perpendicular to AB , and produce it to F , & c .; draw BE parallel to CF , and join AD and BD . ( 23 ) Rhumbs . Divide the ...
... Describe a semicircle with any convenient radius CB ( Fig . I. Plate II . ) ; from the centre c draw CD perpendicular to AB , and produce it to F , & c .; draw BE parallel to CF , and join AD and BD . ( 23 ) Rhumbs . Divide the ...
Σελίδα 26
... describe arcs crossing each other in c ; a line CD , drawn through C and D , will be the perpendicular required . Otherwise . When the point D is at the end of the line GH ; with the centre D and any opening of the compasses describe an ...
... describe arcs crossing each other in c ; a line CD , drawn through C and D , will be the perpendicular required . Otherwise . When the point D is at the end of the line GH ; with the centre D and any opening of the compasses describe an ...
Σελίδα 27
... describe the arc e f Take 30 ° from the same scale of chords and set them off from e to c ; through c draw the line DC , then CDB is the angle required . To make an angle of 150 ° . Produce the line BD to e , with the centre D and the ...
... describe the arc e f Take 30 ° from the same scale of chords and set them off from e to c ; through c draw the line DC , then CDB is the angle required . To make an angle of 150 ° . Produce the line BD to e , with the centre D and the ...
Σελίδα 36
... describe a circle . The angle CBG the angle EBG equal to half the sum of the angles CAB and BCA ; for the triangles CBG and EBG have the two sides BC and CG , equal to the two sides BE and EG , and the side BG common to both , therefore ...
... describe a circle . The angle CBG the angle EBG equal to half the sum of the angles CAB and BCA ; for the triangles CBG and EBG have the two sides BC and CG , equal to the two sides BE and EG , and the side BG common to both , therefore ...
Σελίδα 37
... describe a circle , produce AC to H ; then because CFCB = CH ; AH = AC + CB the sum of the sides , and AF AC - BC the difference between the sides . A ED B Bisect AB in E , and draw CD perpendicular to GB , then GD = BD ( 3 Euclid III ...
... describe a circle , produce AC to H ; then because CFCB = CH ; AH = AC + CB the sum of the sides , and AF AC - BC the difference between the sides . A ED B Bisect AB in E , and draw CD perpendicular to GB , then GD = BD ( 3 Euclid III ...
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.