| Euclid, Isaac Todhunter - 1867 - 400 Seiten
...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 - 400 Seiten
...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 the... | |
| Robert Potts - 1868 - 410 Seiten
...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
...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 - 349 Seiten
...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
...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
...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
...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,... | |
| Robert Potts - 1876 - 403 Seiten
...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... | |
| Edward Atkins - 1876 - 119 Seiten
...(Ax. 1). And EB is drawn from the centre (Const.) But the straight line drawn at right angles to a **diameter of a circle, from the extremity of it, touches the circle (III.** 16, cor.); ... AB Therefore AB touches the circle, and it is drawn from the touches „• ovl ti^inf... | |
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