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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 circle. "
The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick - Side 65
av Royal Military Academy, Woolwich - 1853
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A System of Land Surveying and Levelling: Wherein is Demonstrated ..., Volum 1

Peter Fleming - 1815 - 250 sider
...ibid, 27 28 29 - 30 ibid. 31 ibid. 33 ibid. Page Theorem 13. If a straight line touches a circle, and from the point of contact, a straight line be drawn, cutting the circle, the angle made by this line with the first line, shall be equal to the angle in the alternate segment of...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 sider
...angles are equal, they are right angles. \ PROP. XXXII. THEOR. If a straight line touch a circle, and from the point of contact a straight line be drawn...circle, the angles made by this line with the line which touches the circle, shall be equal to the angles in the alternate segments of the circle. Let...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1819 - 800 sider
...If a straight line touche» a circle, and from the point of contact a straight line be drawn culling the circle, the angles made by this line with the line touching the circle, shall be equal to angles which are in the alternate segments of t'le circle. Prop. XXXIII. Prob Upon a given straight...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 sider
...they are right angles. PROP. XXXII. THEOR. ."-> If a straight line touch a circle, and from the pbitit of contact a straight line be drawn cutting the circle, the angles made fry this line with the line which touches the circle, shall be equal to the angles in the alternate...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 sider
...are equal, they are right angles. Proportion XXX IL Theorem. If a straight line touches a circle, and from the point of contact, a straight line be drawn...segments of the circle. Let the straight line EF touch die circle ABCD in B, and from the point В let the straight line BD be drawn, cutting the circle :...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 sider
...angles are equal, they are f right angles. PROP. XXXII. THEOR. 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...
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A Collection of Cambridge Mathematical Examination Papers: Papers in the ...

John Martin Frederick Wright - 1831 - 282 sider
...of the square of the line between the points of section. 8. If a straight line touch a circle, and, from the point of contact, a straight line be drawn cutting the circle, shew that the angles made by those lines will be equal to the angles in the alternate segments of the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 346 sider
...they are right angles. PROP. XXXII. THEOR. .» If a straight line touch a.circle, and from thepoint 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 to the angles in the alternate segments of the circle. Let...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 sider
...right angles. f 10 Def. 1• PROPOSITION XXXII. ¥ THEOR. — 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...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 sider
...1 .) be greater than the other, PROP. 17. (Eue. iii. 32.) If a straight line touch a circle, and if from the point of contact a straight line be drawn cutting the circle, the angles which it makes with the tangent shall be equal to the angles which are Contained in the alternate segments...
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