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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 ... - Página 72
por John Playfair - 1855 - 318 páginas
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...can be but one straight line which touches a circle in the same point. PROPOSITION XYII,— PROBLEM. To draw a straight line from a given point, either without or in Ike circumference of a circle (BCD), which shall touch the circle. * 1 III. First let the given point...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...more 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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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...equal 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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National Society's Monthly Paper

1855
...more 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
...the 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 páginas
...is 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 páginas
...can be 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...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
...can be 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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