An introduction to the theory ... of plane and spherical trigonometry ... including the theory of navigation1839 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 16
... 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 quadrantal arc AD into eight equal parts , with one foot of the ...
... 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 quadrantal arc AD into eight equal parts , with one foot of the ...
Σελίδα 18
... engraved and graduated on a plate of brass ; from the centre two legs proceed as radii , having straight edges ; these numbers then go on 2 , 3 , 4 , 18 BOOK I. THE LOGARITHMIC LINES , 3 Of the logarithmic lines, or GUNTER'S Scale.
... engraved and graduated on a plate of brass ; from the centre two legs proceed as radii , having straight edges ; these numbers then go on 2 , 3 , 4 , 18 BOOK I. THE LOGARITHMIC LINES , 3 Of the logarithmic lines, or GUNTER'S Scale.
Σελίδα 31
... ( Plate I. Fig . 1. ) be equal arcs , then FGH is the chord of the double arc FBH ; and FGH is bisected in G ( Euclid 3. of III . ) . Therefore if FB be an arc of 30 ° , FG its sine will be half the chord of 60 ° , and the chord of 60 ...
... ( Plate I. Fig . 1. ) be equal arcs , then FGH is the chord of the double arc FBH ; and FGH is bisected in G ( Euclid 3. of III . ) . Therefore if FB be an arc of 30 ° , FG its sine will be half the chord of 60 ° , and the chord of 60 ...
Σελίδα 32
... ( Plate I. fig . 1. ) , its supplement is Fafb , bt is the tangent of the supplement , and it is equal to BT . For the right - angled triangles CBT and chi are equi - angular , and have the side cв equal to cb . For in this case the angle ...
... ( Plate I. fig . 1. ) , its supplement is Fafb , bt is the tangent of the supplement , and it is equal to BT . For the right - angled triangles CBT and chi are equi - angular , and have the side cв equal to cb . For in this case the angle ...
Σελίδα 34
... ( Plate I. Fig . 4. ) ( 109 ) In any right - angled plane triangle , if any of the three sides be made the radius of a circle ; the other sides will be either sines , tangents , or secants , of the respective angle , correspondent to that ...
... ( Plate I. Fig . 4. ) ( 109 ) In any right - angled plane triangle , if any of the three sides be made the radius of a circle ; the other sides will be either sines , tangents , or secants , of the respective angle , correspondent to that ...
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.