| John Keill - Logarithms - 1723 - 444 pages
...37- ?• AC D. And fince BD touches it, and DC is drawn from the Point of Contact D, the Angle BDC is equal to the Angle in the alternate Segment of the Circle, viz. equal f to the Angle DAG. And fince 1 31- ?• the Angle BDC is equal to the Angle DAC; if CD... | |
| Euclid, John Keill - Geometry - 1733 - 444 pages
...Circle * 37- 3A CD. And fmce BD touches it, and DC is drawn from the Point of Contact: D, the Angle BDC is equal to the Angle in the alternate Segment of the Circle, vix. equal f to the Angle DA C. And fmce t 3*- 3the Angle BDC is equal to the Angle DAC; if CDA, which... | |
| Euclides - 1845 - 546 pages
...ABC admits of a maximum. 8. It is sufficient to suggest that the angle between a chord and a tangent is equal to the angle in the alternate segment of the circle. Euc. in. 32. 9. There is some inaccuracy in the enunciation : — for if the two points be given in... | |
| Euclid, Robert Potts - Euclid's Elements - 1847 - 118 pages
...ABC admits of a maximum. 8. It is sufficient to suggest that the angle between a chord and a tangent is equal to the angle in the alternate segment of the circle. Euc. in. 32. 9. There is some inaccuracy in the enunciation : — for if the two points be given in... | |
| Francis James Jameson - Mathematics - 1851 - 144 pages
...a circle two lines be drawn, one touching and the other cutting the circle, the angle between them is equal to the angle in the alternate segment of the circle." (B) may be regarded as a direct application of the same proposition to a slightly different problem.... | |
| Euclides - 1864 - 448 pages
...the two given points. 35. It is sufficient to suggest that the angle between a chord and a tangent is equal to the angle in the alternate segment of the circle. Euc. in. 32. 36. Let AB be the given chord of the circle whose center is O. Draw DE touching the circle... | |
| Euclides - 1864 - 262 pages
...the two given points. 35. It is sufficient to suggest that the angle between a chord and a tangent is equal to the angle in the alternate segment of the circle. Euc. in. 32. 36. Let AB be the given chord of the circle whose center is O. Draw DE.touehing the circle... | |
| Robert Potts - 1865 - 528 pages
...contain the given angle. 40. It is sufficient to suggest that the angle between a chord and a tangent is equal to the angle in the alternate segment of the circle. Euc in. 32. 41. Let AB be the given chord of the circle whose center is O. Draw DE touching the circle... | |
| Euclides - 1865 - 402 pages
...of contact a straight line be drawn cutting the circle, the angle made by this line with the tangent is equal to the angle in the alternate segment of the circle ...... m. 32. D. Ililntinij to the Angles in a Circle. I. The angle at the centre of a circle is double... | |
| Robert Potts - 1868 - 434 pages
...the two given points. 35. It is sufficient to suggest that the angle between a chord and a tangent is equal to the angle in the alternate segment of the circle. Euc. m. 32. 36. Let AB be the given chord of the circle whose center is O. Draw DE touching the circle... | |
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