A Treatise on Elementary TrigonometryMacmillan, 1892 - 306 páginas |
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Página 10
... less than the thirty - second part of an inch . ( The thirty - second part of an inch is less than half the height of the smallest letter on this page . ) That is to say , he is satisfied if he make no greater error than about a ...
... less than the thirty - second part of an inch . ( The thirty - second part of an inch is less than half the height of the smallest letter on this page . ) That is to say , he is satisfied if he make no greater error than about a ...
Página 11
... less than one thirty - second part of an inch . 17. The student will be able to see from the above example , that if the value of an incommensurable number is found to 4 figures , a very considerable degree of accuracy is attained ...
... less than one thirty - second part of an inch . 17. The student will be able to see from the above example , that if the value of an incommensurable number is found to 4 figures , a very considerable degree of accuracy is attained ...
Página 17
... less than the sum of the arcs , that is , is less than the circumference of the circle . Now let each of the arcs AB , BC , etc. be bisected in a , B , y , d , e , n , and let the lines Aa , aB , Bß , ßC , etc. be joined ; then the ...
... less than the sum of the arcs , that is , is less than the circumference of the circle . Now let each of the arcs AB , BC , etc. be bisected in a , B , y , d , e , n , and let the lines Aa , aB , Bß , ßC , etc. be joined ; then the ...
Página 19
... less than a thousandth part of their value . 355 118 Also 53.1415929 etc. So that may be used for with sufficient accuracy for any practical purpose . Hence 3.14159 and 355 are each used for π accord- 22 , 7 113 ing to the degree of ...
... less than a thousandth part of their value . 355 118 Also 53.1415929 etc. So that may be used for with sufficient accuracy for any practical purpose . Hence 3.14159 and 355 are each used for π accord- 22 , 7 113 ing to the degree of ...
Página 23
... less than two right angles . For example , in speaking of the angle ROP in Euclid we should always mean the angle less than two right angles , 0 R ́ not an angle measured in the opposite direction greater than two right angles . 39. In ...
... less than two right angles . For example , in speaking of the angle ROP in Euclid we should always mean the angle less than two right angles , 0 R ́ not an angle measured in the opposite direction greater than two right angles . 39. In ...
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Términos y frases comunes
algebraical angle of elevation angle ROP angular arithmetical base centre circular measure circumference circumscribing circumscribing circles common logarithms cos² cos³ cosec cosine cosine and tangent decimal described diameter distance distant object equal Express find log Find the angle Find the height Find the length Find the number find the sine formulæ fraction geometrically given that log greater Hence horizontal hypotenuse inches initial line inscribed circle isosceles triangle less Let ROP magnitude miles negative number of degrees observed opposite perimeter perpendicular positive Prove the following Quadrant radians radius regular polygon respectively revolving line right angle right-angled triangle sec² sides significant figures sin² sin³ sine square student subtended tan² tangent telescope Theodolite tower Trace the changes triangle ABC Trigono Trigonometrical Ratios vernier yards ОР
Pasajes populares
Página 14 - It follows that the ratio of the circumference of a circle to its diameter is the same for all circles.
Página 12 - A trapezoid has only two of its sides parallel ; as ABCD. (Fig. 4.) Any other four sided figure is called a trapezium. II. A figure which has more than four sides is called a polygon. A regular polygon has all its sides equal, and all its angles equal. III. The height of a triangle is the length of a perpendicular, drawn from one of the angles to the opposite side ; as CP. (Fig. 5.) The height of a four sided figure is the perpendicular distance between two of its parallel sides ; as CP.
Página 274 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...
Página 59 - At a point 200 feet from, and on a level with the base of a tower, the angle of elevation of the top of the tower is observed to be 60° ; what is the height of the tower ? 8.
Página 129 - T' formulae. 2 sin A . cos B = sin (A + B) + sin (A -B), ' 2 cos A . sin B = sin (A + B) — sin (A - B), h 1v.
Página 30 - VI. 33) angles at the centre of the same circle are to one another as the arcs on which they stand...
Página 225 - The elevation of a steeple at a place due south of it is 45°, and at another place due west of it the elevation is 15°. If the distance between the two places be a, prove that the height of the steeple is a( \/3 — 1) -^2\/3.
Página 242 - Now, twice the area of a polygon circumscribed about a circle is equal to (the radius x the perimeter).
Página 256 - Prove that sin (A + B) = sin A cos B + cos A sin B, and deduce the expression for cos (A + B).
Página 288 - Show how to solve a triangle when two sides and the included angle are given. If two sides of a triangle are 71 and 25 feet and the contained angle 69° 32...