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" 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. "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Pagina 81
door John Playfair - 1856 - 318 pagina’s
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 460 pagina’s
...and Jrom the point o/ contact a chord be drawn, the angles which this chord makes ii'ith the tangent shall be equal to the angles in the alternate segments of the circle. Let EF touch the given 0ABC at B, and let BD bo a chord drawn from B, the point of contact: then shall...
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - 1893 - 806 pagina’s
...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...circle, the angles made by this line with the line touching the circle must be equal to the angles which are in the alternate segments of the circle....
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - 1893 - 800 pagina’s
...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...circle, the angles made by this line with the line touching the circle must be equal to the angles which are in the alternate segments of the circle....
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An Elementary Treatise on Pure Geometry: With Numerous Examples

John Wellesley Russell - 1893 - 366 pagina’s
...the reciprocals of a pair of conjugate diameters. 30. Generalise by projection the theorem — ' If a straight line touch a circle and from the point...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...
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Examinations Papers

1895 - 802 pagina’s
...soi.dern faltig an dem kräftigen Bein. PUEE MATHEMATICS.— PABT I. The Board of Examiners. 1. 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 shall be equal to the nng-les in...
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Calendar, for the Year ...

1896 - 154 pagina’s
...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...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...
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Examinations Papers

1899 - 802 pagina’s
...circle and from the point of contact a chord be drawn, the angles which the chord makes with the tangent shall be equal to the angles in the alternate segments of the circle. State and prove the converse of this proposition. 2. Inscribe a regular hexagon in a given circle....
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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Boek 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 pagina’s
...and from the point of contact a chord is drawn, the angles which this chord, makes with the tangent shall be equal to the angles in the alternate segments of the circle. Let EF touch the given 0 ABC at B, and let BD be a chord drawn from B, the point of contact. Then shall...
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Annual Report of the Commissioners ..., Volume 66

1900 - 650 pagina’s
...jjentagon in a given circle. 2. If a line be a tangent to a circle, and from the point of contact a chord be drawn cutting the circle, the angles made by this line with the tangent are respectively equal to the angles in the alternate segmente of the circle. 3. If from a...
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The School World, Volume 3

1901 - 548 pagina’s
...line bisecting any chord of a circle at right angles passes through the centre of the circle. (5) If a straight line touch a circle, and from the point...straight line be drawn cutting the circle, the angles which this line makes with the tangent are equal to the angles in the alternate segments of the circle....
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