THE straight line drawn at right angles to the diameter of a circle, from the extremity of... Books 3-9 - Page 37by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book
| Robert Potts - 1865 - 504 pages
...nearer to the center 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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...line EH is less 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,... | |
| 1868 - 410 pages
...the center 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... | |
| 1871
...opposite sides of 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... | |
| EDWARD RAVENSCROFT - 1871
...which one or more of the squares is inverted. 5. Prove, as Euclid does, that if a straight line be **at right angles to the diameter of a circle from its extremity,** it touches the circle. Prove also that if the tangent be defined as the limit of the secant it will... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 349 pages
...touches the 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... | |
| Euclides - 1872
...touches the 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** tJie extremity qf it, is a tangent to the circle. Let ABC be a ©, of which the centre is O, and the... | |
| Student teachers - 1873
...on HE is less 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,... | |
| James Martin (of the Wedgwood inst, Burslem) - 1874
...nearer to the centre 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... | |
| Robert Potts - Geometry - 1876 - 403 pages
...nearer to the center 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... | |
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