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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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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...than two equal straight lines to the circumference, that point is the centre of the circle. 8. Draw a straight line from a given point, either without...the circumference, which shall touch a given circle. 9. The angles in the same segment of a circle are equal to one another. 10. If two straight lines cut...
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National Society's Monthly Paper

1855
...than two equal straight lines to the circumference, that point is the centre of the circle. s,. Draw a straight line from a given point, either without...the circumference, which shall touch a given circle. 9. The angles in the same segment of a circle are equal to one another; 10. If two straight lines cut...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...points of section is equal to the square of half the line. State this result algebraically. 5. Draw a straight line from a given point, either without...the circumference, which shall touch a given circle. 6. I. 1 , on a given straight line, to describe a segment of a circle containing an angle equal to...
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Guide to the civil service examinations [by H. White]. By H. White

Henry White - 1856
...other, the straight lines joining their centres will bisect their common chord at right angles. 20 Draw a straight line from a given point, either without...the circumference, which shall touch a given circle. 21 Inscribe a circle in a given triangle. 22 If the sides of two triangles about each of their angles...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...shall be equal to a given rectilineal figure. 9. Find the centre of a given circle. 10. Draw a right line from a given point, either without or in the circumference, which shall touch a given circle. 11. The angle at the centre of a circle is double of the angle at the circumference, upon the same...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 sider
...equal to the square of the straight line which is made up of the half and the part produced. 2. Draw a straight line from a given point, either without...the circumference, which shall touch a given circle. VOLUNTARY PORTION. 1. If a solid angle be contained by three plane angles any two of them are greater...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...but one straight line which touches the circle in the same point." PROPOSITION XVII. PROBLEM. To draw a straight line from a given point, either without...First, let A be a given point without the given circle S CD ; it is required to draw a straight line from A which shall touch the circle. Find the center...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...but one straight line which touches the circle in the same point. PROPOSITION XVII. PROBLEM. To draw a straight line from a given point, either without or in the circumference, which shall be a tangent to a given circle. First, Given the circle BCD and a point A without it ; it is therefore...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...the perpendicular and the obtuse angle. 3. When is a straight line said to touch a circle ? To draw a straight line from a given point, either without...the circumference, which shall touch a given circle. 4. To describe a circle about a given triangle. 5. The sides about the equal angles of triangles which...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...4007 '84 miles ; and 4007 '84—4000 = 7'84 miles, height of the meteor. PROP. 17. — PROB. To draw a straight line from a given point, either without...the circumference, which shall touch a given circle. SOL. 1, Ш. Psts. 1, 3. 11, 1. DEM. Def. 15, 1. 4, 1. Ax. 1. Cor. 16, Ш. I. Let A be a given • without...
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