An introduction to the theory ... of plane and spherical trigonometry ... including the theory of navigation1839 |
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Αποτελέσματα 1 - 5 από τα 35.
Σελίδα 24
... falls ; bring the right hand point from 45 ° to the third term of the proportion ; this extent now in the compasses ... fall under 45 ° backward . CHAP . V. GEOMETRICAL DEFINITIONS AND INTRODUCTORY PROBLEMS , DEFINITIONS , ETC. OF ANGLES ...
... falls ; bring the right hand point from 45 ° to the third term of the proportion ; this extent now in the compasses ... fall under 45 ° backward . CHAP . V. GEOMETRICAL DEFINITIONS AND INTRODUCTORY PROBLEMS , DEFINITIONS , ETC. OF ANGLES ...
Σελίδα 29
... fall within the triangle ; and the greater segment AD , will meet the greater ( AB ) of the other two sides and the less segment DC , will meet the less of these sides ( BC ) . ( 79 ) In an equilateral or isosceles triangle , a ...
... fall within the triangle ; and the greater segment AD , will meet the greater ( AB ) of the other two sides and the less segment DC , will meet the less of these sides ( BC ) . ( 79 ) In an equilateral or isosceles triangle , a ...
Σελίδα 32
... fall on the contrary side of the diameter . Let BF be any arc ( 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 ...
... fall on the contrary side of the diameter . Let BF be any arc ( 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 ...
Σελίδα 39
... falls within the triangle ac2 AB2 + BC2 ( 13 EUCLID II . ) - 2AB . BD . 2. If the perpendicular falls without the triangle AC2AB + BC2 + 2AB . BD . ( 13 EUCLID II . ) = From the first BD = 2 A 4 AB2 + BC2 - AC2 From the second BD = 2AB ...
... falls within the triangle ac2 AB2 + BC2 ( 13 EUCLID II . ) - 2AB . BD . 2. If the perpendicular falls without the triangle AC2AB + BC2 + 2AB . BD . ( 13 EUCLID II . ) = From the first BD = 2 A 4 AB2 + BC2 - AC2 From the second BD = 2AB ...
Σελίδα 44
... fall the perpendicular CB ( 62 ) , then ABC is the triangle required . AB measured by the same scale of equal parts , which the hypothenuse was measured by , will A be 288 , and BC will be 384 . B The given parts of a triangle are ...
... fall the perpendicular CB ( 62 ) , then ABC is the triangle required . AB measured by the same scale of equal parts , which the hypothenuse was measured by , will A be 288 , and BC will be 384 . B The given parts of a triangle are ...
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.