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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 ... - Page 72
by John Playfair - 1855 - 318 pages
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...there can be but one straight lino which touches the circle at the same point. PROPOSITION 17. PROBLEM. To draw a straight line from a given point, either...without or in the circumference, which shall touch a gicen circle. First, let the given point A be without the given circle BCD: it is required to draw...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...one straight line which touches the circle in the same point." PROPOSITION XVII. PROBLEM. To drj.wa straight line from .a given point, either without...straight line from A which shall touch the circle. Find the center E of the circle, (nI. 1.) and join AE; and from the center E, at the distance EA, describe...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1868 - 426 pages
...in ascending powers of x, find the term where the coefficient of the power of x is the greatest. 12. To draw a straight line from a given point, either...the circumference, which shall touch a given circle. drawn from a given exterior point to a given circle to touch it, are equal in length. 13. In equal...
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Civil service guide

Robert Johnston (F.R.G.S.) - Civil service - 1869 - 196 pages
...rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 6. Draw a straight line from a given point, either without...the circumference, which shall touch a given circle. 7. In a circle, the angle in a semicircle is a right angle ; but the angle in a segment greater than...
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Civil service guide

Robert Johnston (F.R.G.S.) - Civil service - 1872 - 218 pages
...whole aud one of the parts shall be equal to the square of the other part. C Draw a straight line (rom a given point, either without or in the circumference, which shall touch a given circle. ~7. In a circle, the angle in a semicircle is a right angle; but the an?le in a segment greater than...
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Elements of geometry, containing the first two (third and fourth ..., Part 2

Euclides - 1872 - 102 pages
...the point B, lies outside the © ; .". DE is a tangent to the ©. Def. ix. PROPOSITION XVII. PKOBLEM. To draw a straight line from a given point, either WITHOUT or ON the circumference, which shall touch a given circle. Let A be the given pt., without the © BCD....
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...point B, lies without the © ; .'. DE is a tangent to the ©. Def. &. QED PROPOSITION XVII. PROBLEM. To draw a straight line from a given point, either WITHOUT or OK the circumference, which shall touch a given circle. Let A be the given pt., without the © BCD....
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 588 pages
...within it ; and there can be but one straight line which touches the circle at the same point. XVII. — To draw a straight line from a given point, either...which shall touch a given circle. First, let A be without BCD ; it is required to draw from A a straight line, which, shall touch the given circle. Take...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...be but one straight line which touches the circle in the same point." PROPOSITION 17. — Problem. To draw a straight line from a given point, either...straight line from A which shall touch the circle. Construction. Find the centre Eol the circle (III. 1), and join AE; and from the centre E, at the distance...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...can be but one straight line which touches the circle in the same point. Proposition 17. — Problem. To draw a straight line from a given point, either...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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