 | Peter Nicholson - 1825 - 1046 pagina’s
...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... | |
 | Euclides - 1826 - 226 pagina’s
...PROPOSITION XXXII. THEOREM. If a right line touches a circle, and from the point of contact another right line be drawn cutting the circle, the angles which this line makes with the touching line will be equal to those which are in the alternate segments of the circle. For let any... | |
 | Euclid - 1826 - 234 pagina’s
...PROPOSITION XXXII. THEOREM. If a right line touches a circle, and from the point of contact another right line be drawn cutting the circle, the angles which this line makes ivith the touclung line will be equal to those which are in the alternate segments of the circle. For... | |
 | Robert Simson - 1827 - 546 pagina’s
...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 - 210 pagina’s
...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 - 584 pagina’s
...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... | |
 | Euclides - 1834 - 518 pagina’s
...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...which are in the alternate segments of the circle. Let the straight line EF touch the circle A BCD in B, and from the point B let the straight line BD... | |
 | John Playfair - 1835 - 336 pagina’s
...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 - 684 pagina’s
...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 - 488 pagina’s
...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... | |
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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. 
