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 Books Books 51 - 60 of 164 on If a straight line touch a circle, and from the point of contact a chord be drawn,.... 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. Books 3-9 - Page 65
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908 ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 403 pages
...when the adjacent angles are equal, they are right angles. (I. def. 10.) PROPOSITION XXXII. THEOEEM. 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... ## Examination Christmas,1875

...semicircle is a right angle. Construct a square equal to the difference of two given squares. • 2. If a straight line touch a circle and from the point of contact a straight line be drawn cutting the circle, the angle which mis line makes with the line touching... ## Elements of geometry, based on Euclid, Books 1-3

Edward Atkins - 1876
...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... ## Examination Papers for Science Schools and Classes

...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 of contact a straight line be drawn cutting the circle, show that the angles which this line makes with the line... ## Moffatt's scholarship answers, by T.J. Livesey (T. Page).

Moffatt and Paige - 1879
...KAE is equal to the angle BAE (I. 8), and the two lines AK, AB, are equally inclined to AE. (QED) 12. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, Hie angles which this line makes with the line touchiiig... ## Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...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 meeting the circle, the angle which this line makes with the line touching... ## In literis Graecis et Latinis

...intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. 10. 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... ## Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879
...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 make with the line touching... ## Pass school, group A (-D).

...equal circles, equal angles stand on equal arcs, whether they be at the centres or circumferences. 9. 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... 