An introduction to the theory ... of plane and spherical trigonometry ... including the theory of navigation1839 |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 25
... ac is the measure of the angle aвc , and the arc DE is the measure of the ... side equal to one another , each of these equal angles is said to be a right ... side of the line AB , they are altogether equal in measure to two right angles ...
... ac is the measure of the angle aвc , and the arc DE is the measure of the ... side equal to one another , each of these equal angles is said to be a right ... side of the line AB , they are altogether equal in measure to two right angles ...
Σελίδα 26
... side of D take the equal distances AD and BD . With any extent of the ... side of GH to which the point c is , and with the distance ce and centre c describe an ... AC and GC , describe arcs crossing each other in E , the line CDE drawn ...
... side of D take the equal distances AD and BD . With any extent of the ... side of GH to which the point c is , and with the distance ce and centre c describe an ... AC and GC , describe arcs crossing each other in E , the line CDE drawn ...
Σελίδα 28
... side AC , or that opposite to the right angle B , is called the hypothenuse ; the other two , AB and BC , are called the legs , or sides , or the base and perpendicular . A Hypoth Р Base B Perp ( 68 ) The sum of the three angles of ...
... side AC , or that opposite to the right angle B , is called the hypothenuse ; the other two , AB and BC , are called the legs , or sides , or the base and perpendicular . A Hypoth Р Base B Perp ( 68 ) The sum of the three angles of ...
Σελίδα 31
... sides and angles of a triangle , since they could not com- pare a straight line ... AC is the sine of the arc Ba . The sine of an arc of 30 ° is equal to half ... side of a hexagon , which is the chord of 60 ° , is equal to the radius of ...
... sides and angles of a triangle , since they could not com- pare a straight line ... AC is the sine of the arc Ba . The sine of an arc of 30 ° is equal to half ... side of a hexagon , which is the chord of 60 ° , is equal to the radius of ...
Σελίδα 33
... side of a right - angled triangle may be consi- dered as the radius of a circle , and that the other sides will necessarily become either sines , tangents , or secants . 1st . If the hypothenuse AC be made the radius of a circle , it is ...
... side of a right - angled triangle may be consi- dered as the radius of a circle , and that the other sides will necessarily become either sines , tangents , or secants . 1st . If the hypothenuse AC be made the radius of a circle , it is ...
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.