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" Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius... "
A Manual of Mechanics: An Elementary Text-book Designed for Students of ... - Сторінка 61
автори: Thomas Minchin Goodeve - 1886 - 228 стор.
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Plane Trigonometry for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - 1874 - 360 стор.
...that = 57 '29577951...; this ÎT therefore is the number of degrees contained in the angle which is subtended at the centre of a circle by an arc equal to the radius. 19. Thus there are two methods of forming an idea of the magnitude of an angle which is estimated by...
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First B.A. Examination, University of London: A Hand-book to the Study of ...

J. G - 1878 - 408 стор.
...numerical value of TT to five decimal places, calculate, to the nearest integer, the number of seconds in the angle subtended at the centre of a circle by an arc of length equal to that of the radius of the circle. 11. Assuming the fundamental trigonometrical formulae...
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The naval architect's and shipbuilder's pocket book of formulæ [&c.].

Clement Mackrow - 1879 - 552 стор.
...Answer : 24-2708 degrees. THE CIRCULAR MEASURE. 1st. The unit of circular measure is an angle which is subtended at the centre of a circle by an arc equal to the radius of that circle. Such an angle is equal to 2 right angles = _^80°_ = 57,0.29.8) near]y ir ,. 3*14159...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 стор.
...an hour ; and it overtakes A just on entering Q. Find the rates at which they started. 1. Show that the angle subtended at the centre of a circle by an arc equal to the radius is invariable. Taking 22 : 7 as the ratio of the circumference of a circle to its diameter, and assuming...
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Mathematical Formulae: For the Use of Candidates Preparing for the Army ...

R. M. Milburn - 1880 - 116 стор.
...Measure of any angle is the numerical ratio its subtending arc radius 7. The unit of Circular Measure is the angle subtended at the centre of a circle by an arc equal in length to the radius = i-?-=570-2957795=2o6264"-8. 7T log 57-2957795 = 1-7581226; log 206264-8=5-3144251....
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London graduation mathematics, questions in arithmetic and algebra set from ...

Thomas Kimber - 1880 - 176 стор.
...numerical value of ir to five decimal places, calculate, to the nearest integer, the number of seconds in the angle subtended at the centre of a circle by an arc of length equal to that of the radius of the circle. 17. Assuming the fundamental trigonometrical formulas...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 стор.
...triangles. 7. Find the Arithmetic, Geometric, and Harmonic means between two given straight lines. 8. The angle subtended at the centre of a circle by an arc, which is equal in length to the radius, is invariable. Express seven-sixteenths of a right angle in...
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The Bombay university calendar, Том 1

Bombay city, univ - 1880 - 754 стор.
...rectilineal figure similar and similarly situated to a given rectilineal figure of four sides. 6. Prove that the angle subtended at the centre of a circle by an arc which is equal in length to the radios is an invariable angle. Find approximately the number of degrees...
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The Cambridge Examiner, Том 3

1883 - 536 стор.
...STATICS ; HYDROSTATICS. 1. Prove that the circumference of a circle varies as its radius. Hence show that the angle subtended at the centre of a circle by an arc equal in length to the radius is an invariable angle., and find its value in degrees. 2. The angles of a...
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Introduction to Plane Trigonometry

Thomas Grenfell Vyvyan - 1882 - 150 стор.
...the circle ; that is when P= 2-nr, A = Trr*. The area of a circle of radius r is therefore Trr2. 68. The angle subtended at the centre of a circle by an arc equal in length to the radius is constant. Let the arc AB be equal to the radius OA. Let OC be perpendicular...
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