 | Euclides - 1845 - 546 pages
...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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...no other line but FC is J_ 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... | |
 | Euclides - 1846 - 292 pages
...that is, FC is perpendicular 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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...other line but FC is J_ 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... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...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... | |
 | Euclides - 1848 - 52 pages
...or in the circumference, 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.... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...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... | |
 | Euclides - 1853 - 146 pages
...FC; that is 5. FC is perpendicular to DE. Therefore, if a straight line, &c. QED 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. Let the straight... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...that is, FC is perpendicular to DE. Therefore, if a straight line, etc. QED PROPOSITION 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... | |
 | Euclid - Geometry - 1853 - 176 pages
...part ff the circumference for its base as an angle at the circumference. If a straight line touches a circle, and from the point of 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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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. 
