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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. "
A companion to Euclid: being a help to the understanding and remembering of ... - Side 72
av Euclides - 1837 - 88 sider
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 sider
...is, FC is perpendicular to DE. Therefore, if a straight line, &c. QED PROPOSITION XIX. THEOREM. // 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 in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 sider
...to DE. Therefore, if a straight line, &c. QED PROPOSITION XIX. THEOB. — 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 - 1845 - 382 sider
...angle ma 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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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 sider
...DE, ie FC J_ DE. Therefore if a str. line, &c. PROP. LIV. THEOR. 19. 3E u. 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 str. line...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 sider
...to DE. Wherefore, If a straight line %c. < i . E. i > . 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 sider
...perpendicular to DE ; FC is therefore perpendicular to DE. ELEMENTS 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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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 sider
...DE, ie FC J_ DE. Therefore if a str. line, &c. PROP. LIV. THEOR. 19. 3Eu. 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 str. line...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 sider
...which shall touch a given circle. PROP. XVIII. THEOREM. PROP. XIX. THEOREM. 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. PROP. XX. THEOREM....
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 sider
...FC, that is, FC is perpendicular to DE. Therefore, if D 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. Let the straight...
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The Elements of Euclid: With Many Additional Propositions ..., Del 1

Euclid - 1853 - 176 sider
...of a circle have the same part ff the circumference for its base as an angle at the circumference. If a straight line touches a circle, and from the...contact a straight line be drawn cutting the circle. They shall stand upon equal parts of the circumference, whether they be at the center or the circumfer...
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