 | Industrial arts - 1825 - 486 pages
...that is, the angle BAG is equal to half the number of degrees the arc AC measures, for the angle GDA is equal to half the angle at the centre of the circle (by Theorem n. Part п.), which is the measure of the arc AC. GAS (To be continued.} INQUIRIES. NO.... | |
 | Ferdinand Rudolph Hassler - Geometry - 1828 - 176 pages
...the figure itself will be a regular square inscribed in the circle. § 50. THEOREM. The angle made by a tangent and a chord is equal to half the angle at the centre subtended by that chord. Demonstr. From the centre C, draw the CD, perpendicular to the chord BA; this... | |
 | Ferdinand Rudolph Hassler - Geometry - 1828 - 180 pages
...the figure itself will be a regular square inscribed in the circle. § 50. THEOREM. The angle made by a tangent and a chord is equal to half the angle at the centre subtended by that chord. APPLIC. In the circle BAE, (figure 56,) the chord BA, and the tangent FAG,... | |
 | Charles Davies, William Guy Peck - Mathematics - 1859 - 622 pages
...method by Acjlcclions : This method depends upon the following elementary principles of Geometry : 1. The angle formed by a tangent and a chord is equal...the angle at the centre of the circle subtended by thc chord. 2. Thc angle of deflection formed by any cwo equal chords, meeting on the circumference,... | |
 | Mathematics - 1859 - 476 pages
...straight lines, two and two. Since each of these lines is a common chord to two of the circles, and since the angle formed by a tangent and a chord is equal to the inscribed angle measured by the same arc, we have ABD = DAE and A CD = DAF. .-. ABD= the angle... | |
 | Charles Davies, William Guy Peck - Mathematics - 1865 - 592 pages
...mclkod by deflections : This method depends upon the following elementary principles of Geometry : 1. The angle formed by a tangent and a chord is equal...deflection formed by any two equal chords, meeting on the circumference, is equal to the angle at the centre subtended by either chord. 3. A line bisecting... | |
 | William John Macquorn Rankine - Civil engineering - 1867 - 858 pages
...between the line drawn from one end of the arc and the prolongation of the line from the other end, that is equal to half the angle at the centre of the circle. When the point at which the angle is measured is one of the ends of the arc, as A, it is the angle... | |
 | William John Macquorn Rankine - Civil engineering - 1872 - 810 pages
...between the line drawn from one end of the arc and the prolongation of the line from the other end, that is equal to half the angle at the centre of the circle. When the point at which the angle is measured is one of the ends of the arc, as A, it is the angle... | |
 | United States. Army. Corps of Engineers - Military engineering - 1873 - 350 pages
...5.63211 6.33613 Lat. 45° 8 9 U VI &J a o • л 1Л cu 3 i 6o 45 | 30 15 К 5' e ñ СЛ • XIX.— To trace Railroad Curves by means of Deflections....tangent and a chord is equal to half the angle at the center of the circle subtended by the chord. 2. The angle of deflection formed by any two equal chords... | |
 | William John Macquorn Rankine - Civil engineering - 1883 - 840 pages
...between the line drawn from one end of the arc and the prolongation of the line from the other end, that is equal to half the angle at the centre of the circle. When the point at which the angle it measured is one of the ends of the arc, as A, it is the angle... | |
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To trace Railroad Curves by means of deflections. General Propositions. 1. The angle formed by a tangent and a chord is equal to half the angle at the centre of the circle, subtended by the chord. 2. The angle of deflection formed by any two equal chords... 
