 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...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... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...than the square on KE ; and therefore EH is less than the straight line EK. XVI. — The straight line drawn at right angles to the diameter of a circle from the extremity of it, falls without the circle ; and no straight line can be drawn from the extremity, between that straight... | |
 | Edward Atkins - 1874 - 426 pages
...circle. Therefore, the straight line, &c. QED COROLLARY. — From this it is manifest that the straight line which is drawn at right angles to the diameter...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 the circle in two... | |
 | Euclides - 1874 - 342 pages
...than FG (III. Def. 5). Wherefore the diameter, &c. QED PROPOSITION 16. — Theorem. The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle ; and no straight line can be drawn from the extremity between that straight... | |
 | Edward Atkins - 1874 - 428 pages
...5). Therefore, the diameter, &c. QED, Proposition 16.— Theorem. Tlie straight line drawn at rvjltt angles to the diameter of a circle, from the extremity of it, falls ivithout the circle; and a straight line, making an acute anyle with the diameter at it» extremity,... | |
 | Edward Atkins - 1876 - 130 pages
...circle. Therefore, the straight line, <tc. QED COROLLARY. — From this it is manifest that the straight line which is drawn at right angles to the diameter...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 the circle in two... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...than FG. (lli. def. 5.) Wherefore the diameter, &c. QED PROPOSITION XVL THEOREM. The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle ; and no straight line can be drawn from the extremity between that straight... | |
 | University of Oxford - Education, Higher - 1879 - 584 pages
...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 of a circle from the extremity of it, falls without the circle ; and no straight line can be drawn from the extremity, between that straight... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...less than EK; that is, BO is nearer the centre than FG. Proposition 14. Theorem.—The straight line drawn at right angles to the diameter of a circle from the extremity of it, falls without the circle; and no straight line can be drawn between it and the circumference from the... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...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 of a circle from the extremity of it falls without the circle ; and no straight line can be drawn from the extremity, between that straight... | |
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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... 
