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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 ... - Seite 73
von Robert Simson - 1762 - 466 Seiten
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 Seiten
...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 straight line and the circumference, from ihr extremity...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 Seiten
...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 line and the circumference from the extremity, so...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 228 Seiten
...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 and the circumference from the extremity so as not...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 Seiten
...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 and the circumference from the extremity so as not...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 Seiten
...tke diameter," &c. QED PROP. XVI. THEOR. The straiglit line drawn at right angles to the diet- s« 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 oftlie...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 Seiten
...PROPOSITION XVI. (Argument ad absurdum). 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 between that straight line and the circumference from the extremity, so...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 Seiten
...Wherefore the diameter, &c. QED PROP. XVI. THEOR. The straight line drawn at rig/it 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...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 Seiten
...Def the diameter, &c. QED 3PROP. 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 from the extremity between that straight line and the circumference, so...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 Seiten
...centre, the shorter it is. 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 of...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 Seiten
...diameter, &c. QED PROPOSITION XVI. THEOU. — 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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