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
| James Williamson - Mathematics - 1781
...the center is greater than any one more remote. Which was to be demonftrated. PROP. XVI. The Jlraight **line drawn at right angles to the diameter of a circle, from** the extremity, will fall without the circle ; and into the place between the ftraight line and the... | |
| John Playfair - Euclid's Elements - 1804 - 440 pages
...the flraight line EH lefs than EK. Wherefore, the diameter, &c. (^ED PROP. XVI. THE OR. THE ftraight **line drawn at right angles to the diameter of a circle, from** the extremity of it, falls without the circle ; and no ftraight line can be drawn between that ftraight... | |
| John Playfair - Trigonometry - 1806 - 311 pages
...the straight line EH is less than EK. Wherefore, the diameter, &c. QED PROP. XVI. THEOR. Book III. **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... | |
| John Mason Good, Olinthus Gilbert Gregory - 1813
...greater thin one more remote; and the greater is nearer to the centre than the less, * Prop. XVI. Theor. **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... | |
| Euclides - 1814
...square of EK, and the straight line EH less than EK. Wherefore the diameter, &c. QED PROP. XVI. THEOR. **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... | |
| John Playfair - Trigonometry - 1819 - 333 pages
...of EK, and the straight line EH less than EK. Wherefore, the diameter, &c. Q, ED PROP. XVI. THEOR. **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 drati•n between that... | |
| Henry Aldrich - 1821
...angles : if this be the case, two angles of a triangle are equal to two right angles : Therefore, if a **straight line drawn at right angles to the diameter of a circle** at its extremity does not fall without the circle, it occasions the existence of a triangle containing... | |
| Iron industry and trade - 1825
...Euclid to refer to, I will quote his IGth Proposition, Book in., which bears directly on this point. " **The straight line drawn at right angles to the diameter of a circle from** the extremity of it foils without the circle; and no straight line can lie drawn between that straight... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...and the straight line EH less than EK. Wherefore the diameter, fee. QED Proposition. XVI. Tlieorem. **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... | |
| Euclides - 1826
...Wherefore in a circle, Scc. QED PROPOSITION XVI. THEOREM. (Extracted from Dr. Simson's Edition.) The right **line drawn at right angles to the diameter of a circle from** the extremity of it falls without the circle ; and no right line can be drawn between that right line... | |
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