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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... "
Euclid's Elements of geometry, books i. ii. iii. iv - Seite 88
von Euclides - 1862
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 Seiten
...rectilineal angle. QED COR. From this it is manifest, that the straight line which is drawn at right angle* to the diameter of a circle from the extremity of it, touches the circle ; and that it touches it only in one point, because if it did meet the circle in two, it would fall...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1856 - 318 Seiten
...straight line AG cuts -he circle. COR. 1. From this it is manifest, that the straight line whichjs drawn at right angles to the diameter of a circle from the extremity of it, touches the circle ; and that it touches it only in one point ; because, if it did meet the circle in two, it would fall...
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Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - 59 Seiten
...point within the triangle the arcs will 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...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 Seiten
...whole and each of the parts are 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...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...line which is drawn at right angles to the radius of a circle from the extremity of it, is a tangent ; and that it touches it only in one point, because if it did meet the circle in two, it would fall within it (III. 2). Also, it is evident that there can be but one straight line which...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 Seiten
...than FG. (lll. def. 5.) Wherefore the 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...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...therefore for the oars is in the Une of 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...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...than FG. (nI. def. 5.) Wherefore the 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...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...the straight line which is at right angles to it, as not to cut the circle. Cor. The straight line which is drawn at right angles to the diameter of a circle from the extremity of it tonches the circle ; and it tonches it only in one point; also there can be but one straight line which...
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A collection of elementary test questions in pure and mixed mathematics ...

James Robert Christie - 1866 - 404 Seiten
...2. The difference of any two sides of a triangle is less than the third side. 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 between that straight line and the circumference...
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