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" 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 the circle, shall be equal to the angles which are in the alternate segments of the... "
Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ... - Page 69
by Euclid - 1845 - 199 pages
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...when the 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 be drawn cutting the circle, the angles which this line makes with the line touching the circle shall be equal...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...the 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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...when the adjacent angles are equal, they are right angles. (I. def. 10.) PROPOSITION XXXII. THEOREM. If a, straight line touch a circle, and from the point of contact a straight line be drawn meeting the circle ; the angles which this line makes with the line touching the circle shall be equal...
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The Edinburgh university calendar

Edinburgh univ - 1868 - 336 pages
...square of the other part. 5. The angles in the same segment of a circle 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 made by this line with the line which touches the circle shall be equal...
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Examination for women. Examination papers, with lists of syndics and examiners

Cambridge univ, exam. papers - 1870 - 272 pages
...the 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 of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle shall be equal...
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The Edinburgh university calendar

Edinburgh univ - 1871 - 392 pages
...which you appeal. tained by the whole and that part together with the square of the other part. 4. 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 the circle, are equal...
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The Elements of Plane and Solid Geometry

Henry William Watson - Geometry - 1871 - 320 pages
...triangles 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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...points of intersection in each circle with its centre, will all be parallel. PROPOSITION XXXII. 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 urith the line touching the circle must be equal to...
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Elements of geometry, containing the first two (third and fourth ..., Part 2

Euclides - 1872 - 102 pages
...circles touched by both lines lie in two lines at right angles to each other. PROPOSITION XIX. THEOREM. If a straight line touch a circle, and from the point of contact a straight line be draicn at right angles to the touching line, the centre of the circle must be in that line. Let the...
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The Bombay university calendar, Volume 1

Bombay city, univ - 1873 - 614 pages
...5. If a straight line touch a circle, and a straight line be -"• drawn from the point of contact at right angles to the touching line, the centre of the circle shall be in that line. 6. If the equation to a circle referred to oblique axes be 7 •"" + -f* .+ 2 *y COB w + A* + By +...
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