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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 geometry of the three first books of Euclid, by direct proof from ... - Seite 80
von Euclides - 1856
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A School Course of Mathematics

David Mair - 1907 - 412 Seiten
...centre of the circle, that, if from a point outside a circle two straight lines are drawn, one of which cuts the circle and the other touches it, the rectangle...the whole line which cuts the circle and the part outside the circle, is equal to the square on the line which touches it. 35. Two straight lines AC...
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A School Geometry, Teile 1-4

Henry Sinclair Hall - 1908
...circle two straight lines are drawn, 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 outside the circle is equal to the square on the line which meets the circle, then the line which meets...
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Annual Calendar of McGill College and University

McGill University - 1883 - 404 Seiten
...double of the triangle. 8. If from a point without a circle two straight lines be drawn, one of which cuts the circle and the other touches it; the rectangle...the circle and the part of it without the circle, shall be equal to the square on the line which touches it 9. Inscribe a circle in a given triangle....
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The Dublin University Calendar, Band 1

Trinity College (Dublin, Ireland) - 1910
...there can he 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 the circle touches it. 8. Prove...
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1911
...the circle. (12) 10. 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...cuts the circle and the part of it without the circle will be equal to the square on the tangent. Given a circle and two points without it, describe a circle...
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Annual Report of the Department of Education of the Province of Alberta, Band 5

Alberta. Department of Education - 1911
...another. 21 — III. 8 15. 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...cuts the circle and the part of it without the circle shall be equal to the square on the line which touches it. 36 — III. STANDARD VII. ANIMAL LIFE. BOYCE,...
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912
...circle two straight lines are drawn, one of which cuts the circle while the other touohes it, then the rectangle contained by the whole line which cuts the circle and the part of it without the circle will be equal to the square on the straight line touching the circle. If tangents drawn to two circles...
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Annual Report of the Department of Education of the ..., Band 4,Teil 1911;Band 6

Alberta. Department of Education - 1912
...circle, two straight lines be drawn, one of which is a tangent to the circle and the other cuts it, then 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 on the tangent. 36— III. 7 9. ABC is a triangle right-angled at C, and...
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Special Reports on Educational Subjects, Bände 26-27

Great Britain. Board of Education - 1912 - 1032 Seiten
...circle two straight lines are drawn, one of which cuts the circle while the other touches it, then the rectangle contained by the whole line which cuts the circle and the part of it without the circle will be equal to the square on the straight line touching the circle. If tangents drawn to two circles...
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The Dublin University Calendar, Band 1

Trinity College (Dublin, Ireland) - 1918
...the opposite angle. 5. 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...equal to the square of the line which touches it. 6. How many circles can be described to touch three lines, and prove that a relation must exist between...
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