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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 79
door John Playfair - 1856 - 318 pagina’s
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A collection of elementary test questions in pure and mixed mathematics ...

James Robert Christie - 1866 - 404 pagina’s
...a, about its diameter. i • • J; >. , г.- •• . . - • I. GEOMETRY. > •' *•"' 1. ' If a straight line touch a circle, and from the point...straight line be drawn cutting the circle, the angles which this line makes, && . 2. The sides about the equal angles of equiangular triangles are proportionals;...
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Parliamentary Papers, Volume 52

Great Britain. Parliament. House of Commons - 1866
...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 in the alternate segments of the circle. If two circles touch each other, and parallel diameters be drawn, the straight line joining the opposite...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 pagina’s
...FC is perpendicular to DE. Wherefore, if a straight line &c. PROPOSITION 19. THEOREM. If a ttraight 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. Let the straight...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 pagina’s
...adjacent angles are equal, they are right angles. * [I. Definition 10. PROPOSITION 32. THEOREM. 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 the circle shall...
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The Edinburgh university calendar

Edinburgh univ - 1868
...rectangle contained by the whole line and that part, together with the square of the other part. 6. If a straight line touch a circle, and from the point...by this line with the line which touches the circle are equal to the angles in the alternate segments of the circle. 7. If two straight lines cut one another...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 pagina’s
...it may be shewn, that no other line is perpendicular to DE besides FC, 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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Elementary Geometry, Volume 2

James Maurice Wilson - 1868
...a chord AB be drawn from the point of contact A of the tangent TAS. Then will the angles BAS, BA T be equal to the angles in the alternate segments of the circle. For take any point P in the arc of the segment alternate to BAS, and join PB, PA, and produce PA to...
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Examination for women. Examination papers, with lists of syndics and examiners

Cambridge univ, exam. papers - 1870
...whole line thus produced, and the given line, may be equal to the square on the part produced. 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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The Edinburgh university calendar

Edinburgh univ - 1871
...described upon the other two sides of it, the angle contained by these two sides is a right angle. 3. If a straight line touch a circle, and from the point...the circle, the angles made by this line with the tangent are equal to the angles in the alternate segments of the circle. 4. To describe an isosceles...
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The Elements of Plane and Solid Geometry

Henry William Watson - 1871 - 285 pagina’s
...are equal in all respects, therefore DE is equal to DF, and ADE is equal to ADF. PROPOSITION 2I. If a straight line touch a circle and from the point of contact another straight line be drawn cutting the circle, the angles which the cutting line makes with the...
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