 | 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 - 488 Seiten
...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 - 316 Seiten
...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 - 222 Seiten
...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 - 400 Seiten
...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 - 176 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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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 contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square... 
