 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...touches the circle. And the circle is said to be inscribed in the figure. PROPOSITION XVI. THEOREM. The straight line drawn at right angles to the diameter of a circle, from the extremity of it, is a tangent to the circle. Let ABC be a ©, of which the centre is O, and the diameter A OB. Through... | |
 | Euclides - 1872 - 102 pages
...touches the circle; and the circle is said to be inscribed in the figure. PROPOSITION XVI. THEOREM. The straight line drawn at right angles to the diameter of a circle, from tJie extremity qf it, is a tangent to the circle. Let ABC be a ©, of which the centre is O, and the... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...as not to cut the circle. COROLLARY. — Prom this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it, touches the circle ; and that it touches the circle at one point only, because if it met the circle... | |
 | Edward Atkins - 1874 - 426 pages
...5). Therefore, the diameter, <fec. QED Proposition 16. — Theorem. The straight line drawn at riyht angles to the diameter of a circle, from the extremity of it, falls without the circle; and a straight line, making an acute angle with the diameter at its extremity, cuts the circle. Let ABC... | |
 | Edward Atkins - 1874 - 428 pages
...the straight line, &c. QED COROLLARY. — From this it is manifest that the straight line which is drawn at right angles to the diameter of a circle, from the extremity of it, touches the circle (III. Def. 2) ; and that it touches it only in one point, because if it did meet... | |
 | Euclides - 1874 - 342 pages
...straight line and the perpendicular AE. QED Cor. From this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it, touches the circle (III. Def. 2) ; and that it touches it only in one point, because, if it did meet... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...straight line and the perpendicular AE. QEp COR. From this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it touches the circle ; (in. def. 2.) and that it touches it only in one point, because, if it did meet... | |
 | Edward Atkins - 1876 - 130 pages
...the straight line, <tc. QED COROLLARY. — From this it is manifest that the straight line which is drawn at right angles to the diameter of a circle, from the extremity of it, touches the circle (III. Def. 2) ; and that it touches it only in one point, because if it did meet... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...the rectangle contained by the whole and that part, together with the square on the other part. 4. The straight line drawn at right angles to the diameter...and the circumference, so as not to cut the circle. 5. Describe an isosceles triangle, having each of the angles at the base double of the third angle.... | |
 | University of Oxford - Education, Higher - 1879 - 584 pages
...the point of contact. 3. In a given circle, inscribe a triangle equiangular to a given triangle. 4. The straight line drawn at right angles to the diameter...and the circumference, so as not to cut the circle. 5. Describe a circle about a given triangle. 6. The angles in the same segment of a circle are equal... | |
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The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle... 
