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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... "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Page 72
by John Playfair - 1856 - 318 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...angle lefs than any rectilineal angle." CoR. From this it is manifeft that the ftraight line which is drawn at right angles to the diameter of a circle...circle ; and that it touches it only in one point, becaufe if ci 3. it did meet the circle in two, it would fall within it e. ' Alfo it is ' evident that...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...remaining angle lefs than any rectilineal anCoR. From this it is manifeft that the ftraight line which is drawn at right angles to the diameter of a circle...touches the circle ; and that it touches it only in one potnt, becaufe, if it did meet the citcle in two, it would s. 3. fall within itc. < Alfo it is rvident...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...angle lefs than any rectilineal an*gle.' CoR. From this it is manifeft that the ftraight line which is drawn at right angles to the diameter of a circle...circle ; and that it touches it only in one point, becaufe, if it did meet the circle in two, it would o i• 3. fall within it e. ' Alfo \t is evident...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...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 circumference another...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...circle from the extremity of it, touches the circle ; and that it touches it only in one point, becaufe if it did meet the circle in two, it would fall within (B. a. 3. it c. ' Alfo it is evident that there can be but one ftraight line ' which touches the circle...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...the ftraight line AG cuts the circle. CoR. From this it is msnifeft that die ftraight line whicl) is drawn at right angles to the diameter of a circle...circle ., and that it touches it only in one point, becaufe, if it did itieet the circle in two, it would fall within it c. i Alfo it is evident that there...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...within the circle. Wherefore, &c. Q^ED CoR. From this it is manifcft, that the ftraight line which is drawn at right angles to the diameter of a circle...extremity of it, touches the Circle ; and that it touches only in one K point, i9. i. a i.3 b ni BOOK III. point, becaufe, if it did meet the circle in two,...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...angle lefs than any rectilineal angle.' CoR. From this it is manifeft that the ftraight line which is drawn at right angles to the diameter of a circle...circle ; and that it touches it only in one point, becaufe if it did meet the circle in two, it would fall within it e. - Alfo it is evident that there...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...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 line and the circumference,...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...less ' than any rectilineal angle.' CoR. From this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle...because, if it did meet the circle in two, it would e 2. 3. fall within it e. < Also it is evident that there can be but one straight line which touches...
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