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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. "
Easy Introduction to Mathematics - Pagina 280
door Charles Butler - 1814
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The Oxford examiner, ed. by M.W.I. Shilleto, Nummers 1-5

Mary W I. Shilleto - 1882 - 418 pagina’s
...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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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 pagina’s
...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...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - 1883 - 568 pagina’s
...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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 pagina’s
...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...
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Cambridge University Examination Papers

University of Cambridge - 1884 - 624 pagina’s
...that FG is equal to GB. 6. If two circles cut one another, they shall not have the same centre. 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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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885 - 652 pagina’s
...from the centre : and those which are equally distant from the centre are equal to one another. 6. 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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Calendar of Dalhousie College and University

Dalhousie University - 1887 - 206 pagina’s
...rectangle contained by the whole and one of the parts may be equal to the square on the other part. 11. Tf 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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Calendar of Dalhousie College and University

Dalhousie University - 1888 - 212 pagina’s
...tangent to a circle is at right angles to the radius drawn from the centre to its point of contact. 5. If a straight line touch a circle, and from the point of contact any chord of the circle be drawn, the angles between the chord and the tangent are equal to the angles...
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Annual Report

Canada. Department of the Interior - 1888 - 756 pagina’s
...externally, the straight line which joins their centres shall pass through the point of contact, 9. If a straight line touch a circle, and from the point of contact a straight line b« drawn cutting the circle, the angles which this line makes with the line touching...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 356 pagina’s
...the angle A. Show that the construction is impossible unless 2C + A is less than a right 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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