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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 Elements of Geometry, Symbolically Arranged - Side 79
av Great Britain. Admiralty - 1846
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The Element of Geometry

John Playfair - 1836 - 148 sider
...FC, that is, FC is perpendicular to DE. Therefore, if a straight line, &c. QED CGE PROP.. XI. THEOR. 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. Let the straight...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 sider
...semicircle is acute, and an angle in a segment less than a semicircle is obtuse. PROP. XXXII. THEOR. IF a straight line touch a circle, and from the point of contact a straight line be drawn dividing the circle into two segments ; the angles made by this line with the tangent are equal to...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 sider
...perpendicular to DE ; FC is therefore perpendicular to DE. 74 N PROP. XIX. THEOR. If a. straight linf 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 is in that line. Let the straight line...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 sider
...drawn from F, is _L DE. PROPOSITION XIX. (Argument ad absurdum). Theorem. 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. x> cv, Suppose...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 sider
...; that is, FC is perpendicular to DE. PROPOSITION XIX. THEOREM. 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. Let the straight line...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 sider
...supposed to have been subjoined, not by Euclid, but by some one of the early editors. PROP. XIX. THEOR. 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. Let the straight...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 sider
...FC, that is, FC is perpendicular to DE. Therefore, if a straight line, &c. UED 0 PROP. XIX. THEOR. 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. Let the straight...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 sider
...besides FC, that is, FC is perpendicular to DE. Therefore, if a straight line, &c. QED PROP. XIX. THEOR. 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. and from C let...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 sider
...other line but FC can be perpendicular to DE ; FC is therefore perpendicular to DE. PROP. XIX. THEOR. 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 is in that line. Let the straight line...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 sider
...perpendicular to DE. Therefore, if a straight line, &c. QED PROP. XIX. THEOR. 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. ELEMENTS Let...
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