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Books Books 81 - 90 of 168 on If a straight line touch a circle, and from the point of contact a chord be drawn,....  
" If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments. "
Books 3-9 - Page 65
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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Practical Plane Geometry: Giving the Simplest Modes of Constructing Figures ...

John Fry Heather - Geometry, Plane - 1890 - 172 pages
...Angles in the same segment of a circle are equal to one another. (Eu. III., 21.) 137. THEOR. 23. 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...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - Mathematics - 1890 - 515 pages
...given point a chord of a given circle which bisected by a given straight line. PROPOSITION 32. THEOREM. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles made by this line with the line touching the...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Randal Charles John Nixon - Geometry - 1890 - 400 pages
...As, v ABQP is a cyclic quad. A And it has been shown that PAB < rt. A . Proposition 32. THEOREM If a straight line touch a circle, and from the point of contact a straight line is drawn dividing the circle into two segments, the angles made by this line with tlie...
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Practical Plane & Solid Geometry

I. Hammond Morris - Mathematics - 1890 - 260 pages
...the point of contact is perpendicular to the line touching the circle.' Also the converse of this. ' 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...
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Report of the Secretary for Public Instruction ...

Queensland. Dept. of Public Instruction - Education - 1890
...and enunciation of tlioae propositions of Euc. Bk. III., in which this definition is made use of. 3. If a straight line touch a circle, and from the point of contact a straight line lie drawn cutting the circle, the angles which this line makes with the line touching...
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Annual Report of the Chief Superintendent of Education

New Brunswick. Education Office - 1891
...whether that angle be right, obtuse, or acute. (6) Prove the case in which the angle is obtuse. 3. (a) If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles made by this line with the line touching the...
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Report of the Secretary for Public Instruction ...

Queensland. Dept. of Public Instruction - Education - 1892
...straight line which joins their centres, being produced, shall pass through tho point of contact. 3. If a straight line touch a circle, and from the point of 8 contact a chord be drawn, the angles which this chord makes with the tangent shall be equal to the...
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Dept. of Education - Education - 1893
...whether that angle be right, obtuse, or acute. (b) Prove the case in which the angle is obtuse. 3. (a) If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles made by this line with the line touching the...
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Dept. of Education - Education - 1893
...whether that angle be right, obtuse, or acute. (6) Prove the case in which the angle is obtuse. 3. (a) If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles made by this line with the line touching the...
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Calendar, for the Year ...

1896
...thus produced and on the part produced may be equal to three times the square on the given line. 3. 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...
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