 | Euclides - 1862 - 172 pages
...centre than FG. (in. def. 5.) Wherefore, the diameter, &c. QED PROP. XVI.— THEOREM. The straight line which is 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 - 1862 - 140 pages
...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 pages
...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 pages
...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 pages
...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 - Mathematics - 1866 - 428 pages
...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 - Euclid's Elements - 1867 - 426 pages
...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 - Euclid's Elements - 1867 - 424 pages
...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 pages
...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 pages
...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... | |
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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... 
