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" To draw a straight line from a given point, either without or in the circumference, which shall touch a given circle. First, let A be a given point without the given circle BCD : it is required to draw a straight line from A which shall touch the circle. "
Elements of Geometry: Containing the First Six Books of Euclid: With a ... - Side 78
av John Playfair - 1819 - 317 sider
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 sider
...touches the circle in the same point.' PROPOSITION XVII. EUCLID S ELEMENTS. 1.3. t 11. 1. I 1SDef. 1. First, let A be a given point without the given circle...straight line from A which shall touch the circle. Find* the centre E of the circle, and join AE; and from the centre E, at the distance EA, describe the circle...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 sider
...point, either without a given circle, or in its circumference, to draw a straight line touching the circle. First, let A be a given point without the given circle BCD ; it is required to draw from A a straight line touching the circle. Find (III. 1) E the centre of the circle, and draw AE cutting...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 332 sider
...to the same diameter, and have their points of contact at its extremities. PROP. XVII. PROB. To draw a straight line from a given point either without...straight line from A which shall touch the circle. Find (1.3.) the centre E of the circle, and join AE ; and from the centre E, at the distance EA, describe...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 sider
...can be but one straight line, which touches the circle in the same point. PROP. XVII. PROS. To draw a straight line from a given point, either without...circumference, which shall touch a given circle. First, let the given point A be without the given circle BCD : it is required to draw from A a straight line which...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 sider
...be but one straight line which touches the circle in the same point.' PROP. XVII. PROBLEM. To draw a straight line from a given point, either without...the circumference, which shall touch a given circle. PROP. XVIII. THEOREM. PROP. XIX. THEOREM. If a straight line touch a circle, and from the point of...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 sider
...can be but one straight line which touches the circle in the same point." PROP. XVII. PKOB. To draw a straight line from a given point, either without...straight line from A which shall touch the circle. Find (m. 1.) the centre E of the circle, and join AE ; and from the centre E, at the distance AE, describe...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...circle in the same point." PROPOSITION XVII. PROB. To draw a straight line from a given point, cither without or in the circumference, which shall touch...line from A which shall touch the circle. Find (1. in.) the centre E of the circle, and join AE ; and from the centre E, at the distance EA, describe...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 sider
...point.'' PROP. XVII. PROBLEM. To draw a straight line from a given point, either without or in thf circumference, which shall touch a given circle. First,...straight line from A which shall touch the circle. Find (III. 1.) the centre E o! the circle, and join AE; and from the centre E, at the distance AE, describe...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...circle in the same point. PROPOSITION XVH.^ To draw a straight line from a given point, eitlier vnthout or in the circumference, which shall touch a given...FIRST, let a be a given point without the given circle b С d ; it is required to draw a straight line from a, which shall touch the circle. Find (iii. 1)...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...to a given square, and having its adjacent sides together equal to a given straight line. 15. Draw a straight line from a given point, either without...the circumference, which shall touch a given circle. 16. Similar triangles are to one another in the duplicate ratio of their homologous sides. 18. ABC...
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