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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... "
Report of the Committee of Council on Education (England and Wales), with ... - Page 410
by Great Britain. Council on Education - 1848
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...C^_E. D, \ PROP. XVI. THEOR. * I ""HE ftraight line drawn at right angles to the dia- se«N, meter 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 from the extremity, fo...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...diameter, &c. D. PROP. XVI. THEO R. THIIE ftraight line drawn at right angles to the dia- gecNJL meter of a circle, from the extremity of it, falls without the circle ; and no Ilraight line can be drawn between that ftraight line and the circumference from the extremity, fo...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...diameter, &c. " 1. D. PROP. XVI. THEO R. THE ftraight line drawn at right angles to the dia-s«N. meter 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 from the extremity, fo...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...Wherefore the diameter, &c. QED PROP. XVI. THEOR. THE ftraight line drawn at right angles to the See N. 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 from the extremity, fo...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...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, from the extremity of...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...diameter, &c. Q^E. fl. PROP. XVI. THEOR, THE ftraight line drawn* at right angles to the dia-SeeN. meter 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 from the extremity, fo...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...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 line and the circumference, from the extremity of the diameter, so as not to...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...diameter, &c. QED PROP. XVI. THEOR. THE straight line drawn at right angles to the dia- See N. meter 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 from the extremity, so as not to cut the circle ;...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...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 line and the circumference from the extremity, so as not to cut the circle; or,...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...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 line and the circumference from the extremity, so as not to cut the circle; or,...
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