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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... "
Elements of Geometry: Containing the First Six Books of Euclid: With a ... - Side 77
av John Playfair - 1819 - 317 sider
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Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - 59 sider
...pass through one point within the triangle the arcs will together form a complete circumference. 2. The straight line drawn at right angles to the diameter...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 - 1869 sider
...contained by the 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...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. VOLUNTARY...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...is less than the square on EK, EH is less than EK. henee the straight line PROPOSITION XVI. THEOREM. The straight line drawn at right angles to the diameter...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 Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...straight line and the perpendicular AE. QED COB. From this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it touches the circle ; (In. def. 2.) and that it touches it only in one point, because, if it did meet...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...The best position 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...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 ;...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...FG. (in. def. 5.) Wherefore, the diameter, &c. QED PROP. XVI.— THEOREM. The straight line which is drawn at right angles to the diameter of a circle,...without the circle ; and no straight line can be drawn from the extremity between that straight line and the circumference, which does not cut the circle,...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...equal to DA; therefore DH is less than DK. 4. Therefore the point H is within the circle. which is drawn at right angles to the diameter of a circle, from the extremity of it, touches the circle (III. def. 2); and that it touches it only in one point, because if it did meet...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...nearer to the center than FG. (iil. def. 5.) Wherefore the diameter, &c. Q.KD. PROPOSITION XVI. THEOREM. The straight line drawn at right angles to the diameter...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 :...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...straight line and the perpendicular AE. QED COR. From this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it touches the circle ; (ln. def. 2.) and that it touches it only in one point, because, if it did meet...
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The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...than any rectilineal angle." QED Cor. — From this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle, from the extremity of it, touches the circle ; (m. def. 2) and that it touches it only in one point, because, if it did meet...
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