| Euclides - 1848 - 52 Seiten
...PROP. XXXVI. THEOREM. If from any point without a circle two straight lines be drawn, one of which **cuts the circle, and the other touches it ; the rectangle...the circle, and the part of it without the circle,** shall be equal to the square of the line which touches it. Con. If from any point without a circle,... | |
| Euclid, Thomas Tate - 1849 - 120 Seiten
...QED PROP. XXXVI. THEOB. If from any point without a circle two straight lines be drawn, one of -which **cuts the circle, and the other touches it; the rectangle...the circle, and the part of it without the circle,** shall be equal to the square of the line which touches it. Let D be any point without the circle ABC,... | |
| 1850
...a circle there be drawn two straight lines, one of which cuts the circle and the other meets it; if **the rectangle contained by the whole line which cuts...the circle, and the part of it without the circle,** be equal to the square of the line which meets it, the line which meets shall touch the circle. 2.... | |
| 1852
...points of section. 3. If from any point without a circle two straight lines be drawn, one of which **cuts the circle and the other touches it, the rectangle...cuts the circle and the part of it without the circle** shall be equal to the square of the line which touches it. PAl'BRS FOR THE SCHOOLMASTER MENSUltATION.... | |
| University of Durham - 1851
...equal to one another. 8. If from a point without a circle two straight lines he drawn, one of which **cuts the circle and the other touches it, the rectangle...the whole line which cuts the circle and the part** without the circle is equal to the square of the line which touches it. 9. To describe a circle about... | |
| Euclides - 1853 - 146 Seiten
...PROP. XXXVI. THEOEEM. If from any point without a circle two straight lines be drawn, one of which **cuts the circle, and the other touches it ; the rectangle...the circle, and the part of it without the circle,** shall be equal to the square of the line which touches it. Let D be any point without the circle ABC,... | |
| Royal Military Academy, Woolwich - 1853
...PRC-POSITION XXXVI. THEOR. If from any point without a circle, two straight lines be drawn, one of which **cuts the circle, and the other touches it ; the rectangle...the circle, and the part of it without the circle,** shall be equal to the square of the line which touches it. Let D be any point without the circle ABC,... | |
| Euclides - 1853 - 334 Seiten
...cuts the circle and the other meets it, such that the rectangle contained by the whole line cutting **the circle and the part of it without the circle is equal to the square of the** meeting line : then the meeting line shall touch the circle. Let D be any point without the circle... | |
| Euclides - 1853 - 176 Seiten
...from any point imtliout a circle two straiglit lines be drawn, one ofwliich cuts the circle, and tlie **other touches it, the rectangle contained by the whole line which cuts the circle, and the** poyrt of it without the circle, shall be equal to the square of the line which touches it. LET d be... | |
| Euclid - 1853 - 136 Seiten
...straight lines be drawn, one cutting the circle and the other meeting it, and if the rectangle under **the whole line which cuts the circle, and the part of it without the circle,** be equal in area to the square ou the line which meets it. If from a point within or without a circle... | |
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