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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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Examination Christmas,1875

Education Department,London - 1876 - 1010 pagina’s
...figure formed by joining the extremities of these four lines taken in order will be a rectangle. 3. 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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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pagina’s
...F(J is perpendicular to DE. Therefore, if a straight line, &o. QED, Proposition 19.— Theorem. Jf a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching liiie, the centre of the circle shall be in that line. Let the straight...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 pagina’s
...FC is perpendicular to DE. Therefore, if a straight line, &c. QED • PROPOSITION XIX. THEOREM. If a straight line touch a circle, and from the point of contact a straight line ba drawn at right angles to the touching line, the center of the circle ihali be in that line. Let...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pagina’s
...it touches it internally or externally. .. .. .. .. .. ..116 19. If a straight line be a tangent to a circle, and from the point of contact a straight line be drawn perpendicular to the tangent, the centre of the circle shall be in that line. .. .. .. .. .. .. 116...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1877 - 562 pagina’s
...from the centre. What is the locus of the middle points of all equal chords of a circle? (15.) 29. If a straight line touch a circle, and from the point...contact a straight line be drawn cutting the circle, show that the angles which this line makes with the line touching the circle shall be equal to the...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 pagina’s
...than, and DAB greater than a semicircle. Then the angles which BD makes with the touching line EF, shall be equal to the angles in the alternate segments of the circle ; that is the angle DBF shall bo equal to the angle which is in the segment DAB and the angle DBE shall...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 pagina’s
...right angle; wherefore the other, AD C, is greater than a right angle. Proposition 22. Theorem.—If a straight line touch a circle, and from the point...circle, the angles made by this line with the line ivhich touches the circle, will be equal to the angles in the alternate segments of the circle. Let...
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Parliamentary Papers, Volume 22

Great Britain. Parliament. House of Commons - 1879 - 632 pagina’s
...at right angles ; and if it cut it at right angles it shall bisect it. 6. If a straight line touches a circle, and from the point of contact a straight...circle, the angles made by this line with the line touching the circle shall be equal to the angles which are in the alternate segments of the circle....
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 23

1879 - 636 pagina’s
...it at right angles ; and if it cut it at right angles it shall bisect it. If a straight line touches a circle, and from the point of contact a straight...circle, the angles made by this line with the line touching the circle shall be equal to the angles which are in the alternate segments of the circle,...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 414 pagina’s
...sides is a right angle. 3. Describe a square that shall be equal to a given rectilineal figure. 4. If a straight line touch a circle, and from the point...straight line be drawn cutting the circle, the angles which this straight line makes with the line touching the circle shall be equal to the angles which...
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