 | Euclides - 1816 - 588 σελίδες
...perpendicular to DE. Therefore if a straight , . line^&c. QED D" c PROP. XIX. THEOR. 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... | |
 | John Playfair - 1819 - 350 σελίδες
...right angle ; wherefore the other ADC is greater than a right angle. Therefore, in a circle, &c. Q,. ED COR. From this it is manifest, that if one angle of...circle, shall be equal to the angles in the alternate segments of the circle. Let the straight line EF touch the circle ABCD in B, and from the point B let... | |
 | John Playfair - 1819 - 354 σελίδες
...perpendicular to DE ; FC is therefore perpendicular to DE. Therefore, if a straight line, &c. QED 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. Let the straight line... | |
 | John Mason Good - 1819 - 800 σελίδες
...shall be perpendicular tu the line touching the circle. Prop. XIX. Theor. If a straight line touches л circle, and from the point of contact a straight line be drawn at right angles to the touchingline, the centre of the circle shall be in that line. Prop. XX. Theor.... | |
 | Euclid, Robert Simson - 1821 - 514 σελίδες
...of the greater segment is said to be greater, and the angle of the less segment is said to be less, than a right angle." COR. From this it is manifest,...circle, the angles made by this line with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.... | |
 | Peter Nicholson - 1825 - 1046 σελίδες
...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 - 546 σελίδες
...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 σελίδες
...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 σελίδες
...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 Playfair - 1832 - 358 σελίδες
...right angle; wherefore the other ADC is greater than a right angle. Therefore, in a circle, &c. QED COR. From this it is manifest, that if one angle of...the angles made by this line, with the line which touchex the circle, shall be equal to the angles in the alternate segments of the circle. Let the straight... | |
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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 the circle, shall be equal to the angles in the alternate segments of the circle. 
