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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 Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pągines
...respectively. Cut in O. Show that rectangle AO, OD = rectangle BO, OE. PROPOSITION 36. THEOREM. If from a 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. From any pt. D without the 0 ADC, let a...
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Practical Plane Geometry: Giving the Simplest Modes of Constructing Figures ...

John Fry Heather - 1890 - 252 pągines
...circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; and 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. (Eu....
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890 - 526 pągines
...circle shall be equal to the angles which are in the alternate segments of the circle. 4. If from n point without a circle two straight lines be drawn, one of which cuts the circle (but does not pass through the centre), and the other touches the circle, the rectangle contained by...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 442 pągines
...the Addenda. Proposition 36. THEOREM — If from any point outside a circle, two straight lines are drawn, one of which cuts the circle and the other touches it ; then the rectangle contained by the whole line which cuts the circle, and the part of it without...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - 1890 - 144 pągines
...one another, and shall have those angles equal which are opposite to the homologous sides. If from a point without a circle two straight lines be drawn, one of which touches, and the other cuts the circle ; a line drawn from the same point in any direction equal to...
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Examinations Papers

1891 - 718 pągines
...the least and PQ the greatest line that can be drawn from P to the circle. D. If from a point outside a circle two straight lines be drawn, one of which...whole line which cuts the circle and the part of it outside the circle is equal to the square on the line which touches it. ENGLISH. The Board of Examiners....
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1892 - 508 pągines
...between that straight line and the circumference, so as not to cut the circle. 'J. If from any |toint without a circle two straight lines be drawn, one...and the other touches it, the rectangle contained liy the segments of the secant shall be equal to the square on the tangent. [Prove this in the case...
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Report of the Council of Public Instruction of the North-West Territories of ...

Northwest Territories Council of Public Instruction - 1897 - 628 pągines
...reasons for your answer. (c) Draw a common tangent to two given circles. 5. (a) Prove that if from a point without a circle two straight lines be drawn, one of which cuts the circle, and the other meets it, and if the rectangle contained by the secant and its external segment be equal to the square...
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Calendar, for the Year ...

1899 - 166 pągines
...length of a seconds pendulum that loses 5 minutes a day ? GII.LIES SCHOLARSHIP EXAMINATION. 6. 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 on the line which touches it. Find the locus of the point such that tangents...
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - 1900 - 558 pągines
...circle described on any two sides of a triangle as diameters intersect on the third side. 8. If from a point without a circle two straight lines be drawn,...it, the rectangle contained by the whole line which cute the circles and the part of it without the circle shall be equal to the square on the line which...
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