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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 - 146 pages
...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 - 178 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 - 176 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; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...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 - 264 pages
...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 - 976 pages
...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 - 262 pages
...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 - 1050 pages
...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 - 334 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 - 252 pages
...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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