 If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments.  Calendar - Page 218by University of Allahabad - 1908Full view - About this book
 | Euclides - 1838 - 264 pages
...supposed to have been subjoined, not by Euclid, but by some one of the early editors. PROP. XIX. THEOR. If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that... | |
 | Euclides - 1840 - 192 pages
...contact (A) a straight line (AB) is drawn, cutting the circle, the angles made by this cutting line with the tangent are equal to the angles in the alternate segments of the circle. From the point of contact A draw AC perpendicular to EF, and join CB; in the segment... | |
 | Euclides - 1840 - 82 pages
...point of contact a straight line is drawn, cutting the circle, the angles made by this cutting line with the tangent are equal to the angles in the alternate segments of the circle. PROP. XXXIII. PROB. Upon a given straight line to describe a segment of a circle containing... | |
 | Euclides - Geometry - 1841 - 378 pages
...two; and when the adjacent angles are equal, they are right* angles. »iol>ef. PROP. XXXII. THEOR. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...other line but FC can be perpendicular to DE ; FC is therefore perpendicular to DE. PROP. XIX. THEOR. If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle is in that line.... | |
 | Education - 1844 - 688 pages
...opposite angles of any quadrilateral inscribed in a circle, are together equal to two right angles. 11. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; the angles which this line makes with the touching line,... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...semicircle is acute, and an angle ma segment less than a semicircle is obtuse. PROP. XXXII. THEOR. — If a straight line touch a circle, and from the point of contact a straight line be drawn dividing the circle into two segments ; the angles made by this line with the... | |
 | Euclid - Geometry - 1845 - 218 pages
...that is, FC is perpendicular to DE. Therefore, if a straight line, &c. QED PROPOSITION XIX. THEOB. — If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...BAC, FAC, is a rt. .'. L BAC in the semi 0 = rt. L • Wherefore the L, &c. PROP. LX. THEOR. 32. 3 EU. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...to the same two ; and when the adjacent angles are equal, they are right angles. PROP. XXXII. THEOR. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles made by this line with the line which touches... | |
| |
