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" 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... "
A companion to Euclid: being a help to the understanding and remembering of ... - Side 61
av Euclides - 1837 - 88 sider
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 320 sider
...of EK, and the straight lineliHless than EK. Whereforq, the diameter, &$, QE J). PROP. XVI. THEOR. The straight line drawn at right angles to the diameter of a eirele, from the extremity of it, falls without the circle ; and no straight line ean be drawn between...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 sider
...D. PROP. XVI. THEOR. The straight line drawn at right angles to the diameter of See N. 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 -,...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 516 sider
...square of EK, and the straight line EH less than EK. .Wherefore the diameter, &c. QED PROP. XVI. THEOR. THE straight line drawn at right angles to the diameter...between that straight line and the circumference from ther extremity, so as not to cut the circle ; or which is the same thing, no straight line can make...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...nearer t to the centre than FG. Wherefore, the diameter, &c. y. ED PROPOSITION XVI. See N. THEOR. — The straight line drawn at right angles to the diameter of a circle, from the extremity of it, Jails without the circle ; and no straight line can be drawn from the extremity, between that straight...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 513 sider
...diameter," &c. QED PROP. XVI. THEOR. The straight line drawn at right angles to the dia- See N. meter of a circle, from the extremity of it, falls without...straight line and the circumference from the extremity of the diameter, so as not to cut the circle; or, which is the same thing, no straight line can make...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 sider
...less than " any rectilineal angle." COR. From this it is manifest, that the straight line whick is 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...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 sider
...is always greater than the more remote; and the greater is nearer to the centre than the less. XVI. The straight line drawn at right angles to the diameter of a circle, from the extremity of it, fulls without the circle ; and no straight line can be drawn between that straight line and the circumference,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 311 sider
...of EK, and the straight line EH less than EK. Wherefore the diameter, &c. QED PROP. XVI. THEOR. iTke straight line drawn at right angles to the diameter of a circle, from the extremity of zY, falls without the circle ; and no straight line can be drawn between that straight line and the...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Euclid, Robert Simson - 1838 - 416 sider
...of EK, and the straight line EH less than EK. 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 if, falls without the circle ; and no straight line can be drawn between that straight line and the...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...circumference, which doen not cut the circle. COR. From this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle from the ti Def 3. extremity of 1t, touchest the circle ; and that it '"' touches it only in one point, because,...
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