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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 Elements of Euclid; viz. the first six books,together with the eleventh ... - Page 103
by Euclides - 1841 - 351 pages
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 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 first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 147 pages
...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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The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 136 pages
...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 Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., Book 1

Euclides - Geometry - 1853
...ED. Which was to be proved. PEOP. XXXVI. THEOE. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it : then the rectangle contained by the whole line cutting the circle and the part of it without the...
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National Society's Monthly Paper

1855
...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 other...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...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - School buildings - 1855
...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 other...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
...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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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...the circle and the other touches it; e rectangle contained by the whole line which cuts the circle id the part of it without the circle, shall be equal to the uare of the line which touches it. the segment equals four right angles. A circle of known radius moves...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 318 pages
...drawn, one nf which cuts the circle, and the other touches it; the rectangle contamed by the whole lme which cuts the circle, and the part of it without the circle, is equal to the square of the line which touches it. Let D be any point without the circle ABC, and...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...be at the centres or the circumferences. 11. If from any point without a circle two straight lines be drawn one of which cuts the circle and the other...equal to the square of the line which touches it. Through two given points draw a circle which shall touch a given circle. 12. The sides about the equal...
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