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" If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle. "
The Elements of Geometry, Symbolically Arranged - Side 79
av Great Britain. Admiralty - 1846
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 sider
...rectangle contained by the whole and one of the parts may be equal to the square on the other part. 4. If a straight line touch a circle and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. Voluntary Portion....
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 sider
...; that Is, FC Is perpendicular to DE. Therefore, if a straight line, &c. QED PROP. XIX.— THEOREM. If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. (References —...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 sider
...straight line touch a circle, and from the point of contact a straight line be drawn meeting the circle j the angles which this line makes with the line touching...which are in the alternate segments of the circle. Let the straight line EF touch the circle ABCD in B, and from the point B let the straight line BD...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 sider
...that is, FC is perpendicular to DE. Therefore, if a straight line, &c. QED PROPOSITION XIX. THEOREM. If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touch ing line, the center of the circle shall be in that line. Let the straight...
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Papers Read at the Royal Institute of British Architects

1865 - 276 sider
...or in the circumference, which shall touch a given circle. 32. Theorem. If & straight line touches a circle, and from the point of contact a straight...which are in the alternate segments of the circle. Shew from this how to describe the segment of a circle which shall contain an angle equal to a given...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 sider
...that is, FC is perpendicular to DE. Therefore, if a straight line, &c. QED PROPOSITION XIX. THEOREM. If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the center of the circle shall be in that line. Let the straight...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 sider
...FC; that is, FC is perpendicular to DE. Therefore, if a straight line, &e. QED PROP. XIX.— THEOREM. If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. (References —...
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Parliamentary Papers, Volum 52

Great Britain. Parliament. House of Commons - 1866 - 862 sider
...Proposition in Euclid, Book II., which gives the relation between the sides of an obtuse angled triangle. 8. If a straight line touch a circle, and from the point...line touching the circle shall be equal to the angles in the alternate segments of the circle. If two circles touch each other, and parallel diameters be...
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A collection of elementary test questions in pure and mixed mathematics ...

James Robert Christie - 1866 - 428 sider
...radius a, about its diameter. i • • J; >. , г.- •• . . - • I. GEOMETRY. > » •' *•"' 1. ' If a straight line touch a circle, and from the point...cutting the circle, the angles which this line makes, && . 2. The sides about the equal angles of equiangular triangles are proportionals; and those which...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1855 - 350 sider
...other line but FC can be perpendicular to DE ; FC is therefore perpendicular to DE. B PROP. XIX. THEOR. If a straight line touch a circle, and from the point of contact a stimght Imt be drawn at right angles to the touching line, the centre of the circle is in that line....
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