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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... "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Side 97
av Euclides - 1853
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1853 - 317 sider
...been shown, AE.EC = GE.EH, and BE.ED = GE.EH; therefore AE.EC = BE. ED. PROP. XXXVI. THEOR. bisect' any point without a circle two straight lines be drawn,...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...
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The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., Bok 1

Euclides - 1853
...the rectangle BA, AE is equal to the rectangle CA, AF. Which was to be proved. PEOP. XXXVII. THEOE. If from any point without a circle two straight lines...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...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...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...
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The Elements of Euclid: With Many Additional Propositions ..., Del 1

Euclid - 1853 - 136 sider
...from any point without 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...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...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...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...of the other part. Section 3. 1. The angles in the same segment of a circle are equal. 2. If from a point without a circle two straight lines be drawn,...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...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...diagonals of any quadrilateral figure, be equal, a circle may be described about it. PRO P. XXXVI. THEOREM. If from any point without a circle two straight lines...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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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 sider
...has been shown, AE.EC = GE.EH, art BE.ED=GE.EH; therefore AE.EC = BE. ED. bisectPROP. XXXVI. THEOR. B If from any point without a circle two straight lines be drawn, one nf which cuts the circle, and the other touches it; the rectangle contamed by the whole lme which cuts...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...squares of DB and E B. Therefore the rectangle DA, DC alone is equal to the square of D B. Cor. — If from any point without a circle two straight lines be drawn cutting the circle, the rectangles contained by each straight line and the part of it without the circle...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 sider
...circle there be drawn two straight lines, one of which cuts the circle and the other meets it, so that the rectangle contained by the whole line which cuts...the circle, and the part of it without the circle, is equal to the square of the line which meets it, then the line which meets the circle will touch...
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