| Peter Nicholson - 1825 - 372 Seiten
...to DE. Therefore, if a straight line, &c. QED Proposition XIX. Tliearem. If a straight line touches **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 line. Let the straight... | |
| Robert Simson - 1827 - 513 Seiten
...perpendicular to I>E. Therefore, if a straight line, &c. QED PROP. XIX. THEOR. If a straight line taucJ1es **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 line. Let the straight... | |
| John Playfair - 1829 - 186 Seiten
...to DE; therefore FC is perp. to DE. Therefore, if a straight line &c. QED PROPOSITION XIX. THEOREM. **If a straight line touch a circle, and from the point of contact a straight line be drawn** perpendicular to the tangent, the centre of the circle is in that line. • ' N CG 1) c E Let the straight... | |
| Pierce Morton - 1830 - 272 Seiten
...be perpendicular to the line touching the circle. Cor. 2. (Eue. iii. 19.) If a straight line touches **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 line. Cor. 3. Tangents... | |
| John Martin Frederick Wright - 1831
...double of the square of half the line, and of the square of the line between the points of section. **8. If a straight line touch a circle, and, from the...contact, a straight line be drawn cutting the circle,** shew that the angles made by those lines will be equal to the angles in the alternate segments of the... | |
| Euclides - 1834
...adjacent angles are equal, they are t right angles. f 10 Def. 1• PROPOSITION XXXII. ¥ THEOR. — **If a straight line touch a circle, and from the point...be drawn cutting the circle, the angles which this** line makes with the line touching the circle, shall be equal to the angles which are in the alternate... | |
| John Playfair - 1835 - 316 Seiten
...to the same two ; and when the adjacent angles are equal, they are right angles. PROP. XXX. THEOR. **If a straight line touch a circle, and from the point of contact a straight line be** draion cutting the circle, the angles made by this line with the line which touches the circle, shall... | |
| 1835
...be perpendicular to the line touching the circle. Cor. 2. (Eue. iii. 19.) If a straight line touches **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 line. Cor. 3. Tangents... | |
| 1836 - 472 Seiten
...it is equal to the same two ; and when the adjacent angles are equal, they are right angles. XXXI. **If a straight line touch a circle, and from the point...straight line be drawn cutting the circle, the angles** made by this line with the line which touches the circle, shall be equal to the angles in the alternate... | |
| John Playfair - 1836 - 114 Seiten
...FC, that is, FC is perpendicular to DE. Therefore, if a straight line, &c. QED CGE PROP.. XI. 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 line. Let the straight... | |
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