 | John Playfair - 1829 - 210 pàgines
...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 pàgines
...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 - 282 pàgines
...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 circle. 9. Demonstrate the proposition usually cited Ex cequo. \.Euclid, Book 5, Prop. 22.] 10. Shew that the... | |
 | John Playfair - 1832 - 358 pàgines
...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...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... | |
 | John Playfair - 1833 - 346 pàgines
...they are right angles. PROP. XXXII. THEOR. .» If a straight line touch a.circle, and from thepoint of contact a straight line be drawn cutting the circle,...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 the straight line BD... | |
 | Euclides - 1834 - 518 pàgines
...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...straight line 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... | |
 | John Playfair - 1835 - 336 pàgines
...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 pàgines
...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 - 1836 - 488 pàgines
...the same two ; and when the adjacent angles art- equal, they are right angles. PROP. XXXII. THEOR. If a straight line touch a circle, and from the point...this line with the line which touches the circle, are equal to the angles in the alternate segments of the circle. Let the straight line EF touch the... | |
 | John Playfair - 1836 - 148 pàgines
...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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If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles... 
