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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 Teacher's Assistant in the "Course of Mathematics Adapted to the Method ... - Pàgina 42
1836 - 472 pàgines
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pàgines
...equal circumferences are equal to one another whether they be at the centres or the circumferences. 11. If from any point without a circle two straight lines...cuts the circle and the part of it without the circle shall be equal to the square of the line which touches it. Through two given points draw a circle which...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pàgines
...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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Parliamentary Papers, Volum 25

Great Britain. Parliament. House of Commons - 1858 - 694 pàgines
...the circumference upon thai same base, that is, upon the same part of the circumference. 10. PROP. XXXVI. — If from any point without a circle two...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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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volum 3

1858 - 398 pàgines
...at the circumference upon the same base, that is, upon the same part of the circumference. 10. PROP. XXXVI. — If from any point without a circle two...the circle, and the part of it without the circle, shall be equal to the square of the line which touches it. EXAMINATION TAPERS. 11. If any line is drawn...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - 1858 - 422 pàgines
...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 - 672 pàgines
...points of contact always passes through a fixed point in the circumference of the given circle. 14. If from any point without a circle two straight lines...cuts the circle and the part of it without the circle shall be equal to the square of the line which touches it. ALGEBRA AND GEOMETRY. I. TODHUNTER, ESQ.,...
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Return to an Address of the Honourable the House of Commons, Dated 10 ...

1859 - 414 pàgines
...any quadrilateral figure inscribed in a circle are together equal to two right angles. 9. If from a 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 10. Describe an i-osceles triangle having...
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A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - 1859 - 352 pàgines
...the other at right angles ; (3) not at right angles ; (4) when neither passes through the centre. E. If from any point without a circle two straight lines be drawn, one cutting, the other touching the circle, the rectangle of the whole cutting line and the part without...
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Cambridge Senate-house Problems and Riders for the Year 1860: With Solutions

Henry William Watson, Edward John Routh - 1860 - 240 pàgines
...to a given square; (1) when the sum, and (2) when the difference of two adjacent sides is given. 3. If, from any point without a circle, two straight...the circle, and the part of it without the circle, shall be equal to the square on the line which touches it. If two chords AB, AC be drawn from any point...
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Cambridge Senate-house Problems and Riders for the Year 1860: With Solutions

Henry William Watson, Edward John Routh - 1860 - 240 pàgines
...to a given square; (1) when the sum, and (2) when the difference of two adjacent sides is given. 3. If, from any point without a circle, two straight...the circle, and the part of it without the circle, shall be equal to the square on. the line which touches it. If two chords AB, AC be drawn from any...
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