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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; and no straight line can be drawn from the extremity between that straight line and the circumference, so as not to cut the circle... "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Page 73
by Robert Simson - 1762 - 466 pages
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Instructions Given in the Drawing School Established by the Dublin Society ...

Joseph Fenn - Mathematics - 1769
...(A), falls without the circle ; & no flraight line can be drawn between this perpendicular (AB) &r the circumference from the extremity, fo as not to cut the circle ; alio the angle (HAD) formed by a part oí the circumference (HEA) & the diameter (AD), is greater...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 520 pages
...the 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 - 520 pages
...the 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...angle with the diameter at its extremity, or fo fmall an angle with the ftraight line which is at right angles to it, as not to cut the circle. Let ABC be...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Electronic book - 1795 - 400 pages
...diameter of a circlei from the extremity of it, falls without the circle; and no ftrajght line can L . be drawn between that ftraight line and the circumference from the extremity, fo as not to cut the circle. .. u . - ' » •• Let ABC be. a circle, the centre of which is D, and the diameter AB : and let...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 351 pages
...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...circumference from the extremity, fo as not to cut the circle. Let ABC be a circle, the centre of which is D, and the diameter AB ; the ftraight line drawn at right...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...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...angle with the diameter at its extremity, or fo fmall an angle with the ftraight line which is at right angles to it, as not to cut the circle. ' Let ABC...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Circle-squaring - 1804 - 440 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...ftraight line and the circumference, from the extremity of the diameter, fo us not to cut the circle. Let ABC be a circle, the centre of which is D, and the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 311 pages
...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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...Wherefore the diameter, &c. QED PROP. XVI. THEOR. THE straight line drawn at right angles to the dia- SeeN. 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...
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