 | Education Ministry of - 1882 - 292 pagina’s
...figure formed by joining the extremities of these four lines taken in order will be a rectangle. 3. If a straight line touch a circle and from the point of contact a straight line be drawn meeting the circle, the angles which this line makes with the line touching the circle shall be equal... | |
 | 1883 - 248 pagina’s
...semicircle is less than a right angle, and the angle in a semicircle is a right angle. 8. Prove that, if a straight line touch a circle and from the point of contact another straight line be drawn to cut the circle, the angles which this line makes with the former... | |
 | Joseph Hughes - 1883 - 568 pagina’s
...EDG, .'.(I. 26) the angle GEA= the angle FEA. And CE, EA = BE, EA .-.CAE = BAE (I. 4). Q- E- D12. If a straight line touch a circle and from the point...straight line be drawn cutting the circle, the angles which the line makes with the line touching the circle shall be equal to the angles which are in the... | |
 | Euclid, Isaac Todhunter - 1883 - 428 pagina’s
...to DE, but FC; therefore FC is perpendicular to DE. EUCLID'S ELEMENTS. PROPOSITION 19. THEOREM. 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... | |
 | University of Cambridge - 1884 - 624 pagina’s
...that FG is equal to GB. 6. If two circles cut one another, they shall not have the same centre. 7. 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 the... | |
 | Stewart W. and co - 1884 - 146 pagina’s
...also equilateral. QEF ANSWERS TO SCHOLARSHIP QUESTIONS. which (his line makes with the line touching the circle shall be equal to the angles in the alternate segments of the circle. (b) If a tangent be defined as the limiting position of a secant, show that the tangent to a circle... | |
 | Euclides - 1884 - 434 pagina’s
...circle, and from the point of contact a chord be drawn, the angles which the chord makes with the tangent shall be equal to the angles in the alternate segments of the circle. EBF Let ABC be a circle, EF a tangent to it at the point B, and from B let the chord BD be drawn :... | |
 | Euclides - 1885 - 340 pagina’s
...XXXII.— THEOREM. If a line (EF) be a tangent to a circle, and from the point of contact (A) a chord (AC) be drawn cutting the circle, the angles made by this line with the tangent are respectively equal to the angles in the alternate segments of the circle. Dem. — (1).... | |
 | Euclid, John Casey - 1885 - 340 pagina’s
...XXXII.— THEOREM. If a line (EF) be a tangent to a, circle, and from the point of contact (A) a chord (AC) be drawn cutting the circle, the angles made by this line with the tangent are respectively equal to the angles in the alternate segments of the circle. Dem. — (1).... | |
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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. 
