 | Euclid, Isaac Todhunter - 1867 - 426 pàgines
...than the straight line EK. 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... | |
 | Euclid, Isaac Todhunter - 1867 - 424 pàgines
...angle. [Axiom, 1. And EB is drawn from the centre ; but the straight line drawn at right angles to a diameter of a circle, from the extremity of it, touches the circle; [III. 16, Corollarytherefore AB touches the circle. And AB is drawn from the given point AQEF But if... | |
 | Robert Potts - 1868 - 434 pàgines
...than FG. (llI. def. 6.) Wherefore the diameter, &c. QEI). PROPOSITION XVI. THEOREM. Tht straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle ; andno straight line can be drawn from the extremity between that straight... | |
 | Civil service - 1871 - 264 pàgines
...parallelograms are equal to one another. 2. When does a straight line touch a circle ? The straight line drawn at right angles to the diameter of a circle from the extremity of it, touches the circle. 3. If two triangles have one angle of the one equal to one angle of the other, and the sides about... | |
 | Euclides, James Hamblin Smith - 1872 - 376 pàgines
...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 - 1873 - 588 pàgines
...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... | |
 | Euclides - 1874 - 342 pàgines
...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 pàgines
...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 pàgines
...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 the circle in two... | |
 | Robert Potts - 1876 - 446 pàgines
...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... | |
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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... 
