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, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book
| Euclides - 1841
...two; and when the adjacent angles are equal, they are right* angles. ģiol>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 - 317 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
...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,... | |
| Robert Simson - Geometry - 1845 - 199 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... | |
| James Thomson - Geometry - 1845 - 358 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... | |
| Geometry - 1846
...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... | |
| John Playfair - Euclid's Elements - 1846 - 317 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 - 1846
...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... | |
| Geometry - 1846
...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 - 1848
...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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