 | Euclides - 1862 - 140 σελίδες
...to the centre than FG. (ILL def. 5.) BOOK IIL PHOP. 16. 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 a straight line, making an acute angle with the diameter at it* extremity,... | |
 | Euclides - 1864 - 448 σελίδες
...than FG. (nI. def. 5.) Wherefore the diameter, &c. QED PROPOSITION XVI. 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... | |
 | Euclides - 1865 - 402 σελίδες
...with the straight line which is at right angles to it, as not to cut the circle. Cor. The straight line which is drawn at right angles to the diameter of a circle from the extremity of it tonches the circle ; and it tonches it only in one point; also there can be but one straight line which... | |
 | Robert Potts - 1865 - 528 σελίδες
...than FG. (in. def. 5.) Wherefore the diameter, &c. QED PROPOSITION XVI. 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... | |
 | James Robert Christie - 1866 - 428 σελίδες
...2. The difference of any two sides of a triangle is less than the third side. 3. 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 that straight line and the circumference... | |
 | Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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... | |
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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... 
