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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. "
Examination Papers: Moderations - Side 18
av University of Oxford - 1879
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 sider
...to DE. Therefore, if a straight line, &c. QED Proposition XIX. Tliearem. If a straight line touches 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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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 sider
...PROPOSITION XXXII. THEOREM. If a right line touches a circle, and from the point of contact another right line be drawn cutting the circle, the angles which this line makes with the touching line will be equal to those which are in the alternate segments of the circle. For let any...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 sider
...PROPOSITION XXXII. THEOREM. If a right line touches a circle, and from the point of contact another right line be drawn cutting the circle, the angles which this line makes ivith the touclung line will be equal to those which are in the alternate segments of the circle. For...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 sider
...perpendicular to I>E. Therefore, if a straight line, &c. QED PROP. XIX. THEOR. If a straight line taucJ1es 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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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 210 sider
...to DE; therefore FC is perp. 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 be drawn perpendicular to the tangent, the centre of the circle is in that line. • ' N CG 1) c E Let the straight...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 584 sider
...be perpendicular to the line touching the circle. Cor. 2. (Eue. iii. 19.) If a straight line touches 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. Cor. 3. Tangents...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 sider
...adjacent angles are equal, they are t right angles. f 10 Def. 1• PROPOSITION XXXII. ¥ THEOR. — If a straight line touch a circle, and from the point...which are in the alternate segments of the circle. Let the straight line EF touch the circle A BCD in B, and from the point B let the straight line BD...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1835 - 336 sider
...to the same two ; and when the adjacent angles are equal, they are right angles. PROP. XXX. THEOR. If a straight line touch a circle, and from the point of contact a straight line be draion cutting the circle, the angles made by this line with the line which touches the circle, shall...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 sider
...be perpendicular to the line touching the circle. Cor. 2. (Eue. iii. 19.) If a straight line touches 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. Cor. 3. Tangents...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 sider
...it is equal to the same two ; and when the adjacent angles are equal, they are right angles. XXXI. If a straight line touch a circle, and from the point...straight line be drawn cutting the circle, the angles made by this line with the line which touches the circle, shall be equal to the angles in the alternate...
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