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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... "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Pągina 90
per John Playfair - 1832 - 333 pągines
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The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - 1853 - 136 pągines
...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 pągines
...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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National Society's Monthly Paper

1855
...circumference of a circle, the straight line which joins them shall fail within the circle. 3. If from any point without a circle two straight lines be drawn,...cuts the circle and the part of it without the circle shall be equal to the square of the line which touches it. SECT. IV. — 1. About a circle to describe...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...greater than the one more remote : and the greater is nearer to the centre than the less. 3. If from any point without a circle two straight lines be drawn,...the circle and the part of it without the circle, shall be equal to the square of the line which touches it. Section 4. } . About a circle to describe...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...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 be drawn,...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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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...any quadrilateral figure described in a circle, are together equal to two right angles. 12. If from any point without a circle two straight lines be drawn,...the circle, and the part of it without the circle, shall be equal to the square of the line which touches it. EUCLID (B.) DEFINE a plane superficies,...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...without a circle be drawn two straight lines whereof one cuts the circle and the other meets it, and the rectangle contained by the whole line which cuts the circle and the part without the circle be equal to the square of the other line, the latter line touches the circle. Let...
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Parliamentary Papers, Volum 25

Great Britain. Parliament. House of Commons - 1858
...upon thai same base, that is, upon the same part of the circumference. 10. PROP. XXXVI. — If from any point without a circle two straight lines be drawn,...the circle, and the part of it without the circle, shall be equal to the square of the line which touches it. 11. If any line is drawn touching a circle,...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - 1858 - 324 pągines
...to the rectangles contained by the opposite sides of the quadrilateral. If from any point outside of a circle two straight lines be drawn, one of which cuts, the circle and the other touches it, then the rectangle under the line which cuts the circle, and that part of it outside the circle, is...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 pągines
...angle, and the angle in a segment Jess than a semicircle is greater than a right angle. 6. If from any point without a circle two straight lines be drawn,...cuts the circle and the part of it without the circle shall be equal to the square of the line which touches it. 10 BOYAL MILITARY COLLEGE. 7. Inscribe an...
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