 | 1867 - 336 Seiten
...through its centre, and the other touches it; the rectangle contained by the whole of the cutting line, and the part of it without the circle shall be equal to the square of the touching line. If two circles cut each other, and the line joining their points of intersection be... | |
 | Euclid, John Playfair - 1853 - 336 Seiten
...GE.EH; therefore AE.EC = BE. ED. PROP. XXXVI. THEOR. bisect' any point without a circle two straight lines be drawn, one of which cuts the circle, and...touches it ; the rectangle contained by the whole line whfyh cuts the circle, and the part of it without the circle, is equal to the square of the line which... | |
 | Euclides - 1853 - 146 Seiten
...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. Let... | |
 | Royal Military Academy, Woolwich - 1853 - 400 Seiten
...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. Let... | |
 | 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
...a circle straight lines be drawn to the circumferIdem. If from a point within a circle two straight lines be drawn, one of which cuts the circle, and the other touches it. CONSEQUENCES. fThe greatest is that which j passes through the center. The remaining part of the I... | |
 | Euclides - 1853 - 334 Seiten
...CA, AF. Which was to be proved. PEOP. XXXVII. THEOE. If from any point without a circle two straight lines be drawn, one of which 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... | |
 | 1855 - 264 Seiten
...line which joins them shall fail within the circle. 3. If from any point without a circle two straight lines be drawn, one of which cuts the circle and the...equal to the square of the line which touches it. SECT. IV. — 1. About a circle to describe a triangle equiangular to a given triangle. 2. To describe... | |
 | Great Britain. Committee on Education - 1855 - 976 Seiten
...angles in the same segment of a circle are equal. 2. If from a point without a circle two straight lines be drawn, one of which cuts the circle and the...cuts the circle and the part of it without the circle is equal to the square of the line which touches it. 3. Define similar figures, and prove that equiangular... | |
 | Euclides - 1855 - 270 Seiten
...circle may be described about it. PRO P. 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 cnnta-iаed by the whole line which cuts the circle, and the part of it without the circle, is equal... | |
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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... 
