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" 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. "
Special Reports on Educational Subjects - Page 106
by Great Britain. Board of Education - 1912
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 pages
...has to the fourth ? 8. The sides about the equal angles of equiangular triangles are proportional. If a straight line touch a circle, and from the point of contact two chords be drawn, and if from the extremity of one of them a straight line be drawn parallel to...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...to the circumference, and prove that it is not equal to either of . these three straight lines. 7. 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 straight line makes with the line...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. 7. 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 Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882 - 418 pages
...intersect in E, the angles subtended by AC and BD at the centre are together double of the angle AEG. 2. 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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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1882 - 286 pages
...right angle; wherefore the other, ADC, is greater than a right angle. Proposition 22. 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 which touches...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 pages
...circle at right angles to each other. Show that they are sides of a square inscribed in the circle. 3, If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angle which this line makes with the line touching the...
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The Competitor, Volumes 3-4

1883 - 248 pages
...semicircle is less than a right angle, and the angle in a semicircle is a right angle. 8. Prove that, if a straight line touch a circle and from the point of contact another straight line be drawn to cut the circle, the angles which this line makes with the former...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 568 pages
...angle EDG, .'.(I. 26) the angle GEA= the angle FEA. And CE, EA = BE, EA .-.CAE = BAE (I. 4). Q- E- D12. If a straight line touch a circle and from the point of contact a straight line be drawn cutting the circle, the angles which the line makes with the line touching the...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...perpendicular to DE, but FC; therefore FC is perpendicular to DE. EUCLID'S ELEMENTS. PROPOSITION 19. 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...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...the two circles. Prove I BA C right. PROPOSITIOiSr 32. THEOREM. If a straight line be a tangent to a 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....
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