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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 ... - Pàgina 73
per Robert Simson - 1762 - 466 pàgines
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pàgines
...diameter, &c. ui;.n. PROP. XVI. - 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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Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - 390 pàgines
...together form a complete circumference. 2. The straight line drawn at right angles to the diameter of a circle from the extremity of it falls without the circle. If AB be a fixed chord of a circle, AC and AD any two other chords making equal angles with AB; prove...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pàgines
...together equal to the square on the whole line. 3. 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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 pàgines
...diameter, &c. QED PROPOSITION XVI. 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 from the extremity between that straight line and the circumference, so...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pàgines
...the straight line PROPOSITION XVI. THEOREM. The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle ; (2) and a straight line making an acute angle with the diameter at its extremity cuts the circle....
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 pàgines
...the Neatest width, AB. PROP. 16.— THEOn. 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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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pàgines
...diameter, &c. QED PROP. XVI.— THEOREM. The straight line which is 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, which...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pàgines
...BOOK IIL PHOP. 16. PROPOSITION 16. -THEOREM. The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle; and a straight line, making an acute angle with the diameter at it* extremity, cuts the circle. (References—...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pàgines
...diameter, &c. QED PROPOSITION XVI. 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 from the extremity between that straight line and the circumference, so...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pàgines
...nearer to the centre than the less. Prop. 16. 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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