 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.  Books 3-9 - Page 65by Euclid - 1908Full view - About this book
 | 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... | |
 | 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 - 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... | |
 | 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... | |
 | 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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...a rt. Z, "> **<• .'. L BAC in the semi 0 = rt. Z. Wherefore the Z, &c. PROP. LX. THEOR. 32. 3Eu . 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... | |
 | Euclides - 1846 - 292 pages
...that is, FC is perpendicular to DE. Wherefore, If a straight line %c. < i . E. i > . 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... | |
 | 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... | |
 | Euclides - 1848 - 52 pages
...the angle in a segment less than a semicircle is greater than a right angle. PROP. XXXII. THEOREM. 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 touching the... | |
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