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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... "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Pagina 152
door Robert Potts - 1860 - 361 pagina’s
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Euclid's Elements of Geometry, Boeken 1-6;Boek 11

Henry Martyn Taylor - 1895 - 657 pagina’s
...other meets it, and if the rectanyle contained by the segments of the chord mi the line which cuts the circle be equal to the square on the line which meets the circle, the line which meets the circle is a tangent to it. Let A BCD be a circle and E an external...
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Report of the Council of Public Instruction of the North-West Territories of ...

Northwest Territories Council of Public Instruction - 1897
...lines be drawn, one of which cuts the circle, and the other touches it, the reel angle 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 line which touches it. III. 3(5. (6) ABC is a triangle, right angled...
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Calendar, for the Year ...

1899
...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 on the line which touches it. Find the locus of the point such that tangents...
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Examination Papers

University of Toronto - 1900
...lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle sustained by the whole line which cuts the circle and the part of it without the circle, shall be equal to the square on the line which touches it. (III. 36.) 7. Describe a circle touching...
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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Boek 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 pagina’s
...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 is equal to the square on the line which meets the circle, then the line which meets the circle slwll...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901
...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...circle, be equal to the square on the line which meets the circle, the line which meets the circle shall touch it. 9. About a given circle, describe a triangle...
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Calendar

University of Sydney - 1902
...lines, one of which cuts the circle, and the other touches it, and if the rectangle contained by the whole line which cuts the circle and the part of it...circle be equal to the square on the line which meets the circle, the line which meets the circle shall touch it. 9. ABC is a circle whose centre is at 1)....
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Annual Report of the Commissioners ..., Volume 68

1902
...drawn, one of which cuts the circle, and the other touches it; prove that the rectangle contained by the whole line which cuts the circle and the part of it without the circle, is equal to the square of the line which touches it. 3. Inscribe a regular pentagon in a given circle....
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Science Examinations ... Reports, Etc

1904
...drawn, one of which cuts the circle and the other touches it. Show that the rectangle contained by the whole line which cuts the circle and the part of it without the circle is equal to the square on the line which touches it. Hence show that if two circles intersect, their...
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A Text-book of Euclid's Elements for the Use of Schools, Boek 1

Euclid - 1904 - 456 pagina’s
...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 is equal to the square on the line which meets the circle, then the line which meets the circle shall...
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