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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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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 354 Seiten
...to six right angles. 6. 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. Two equal circles intersect in A and B ;...
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Mathematical Papers for Admission Into the Royal Military College for the ...

Eldred John Brooksmith, Robert Moir Milne - 1890 - 144 Seiten
...the line be divided ? 2. 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...the circle, and the part of it without the circle, shall be equal to the square of the line which touches it. If from a point without a circle there be...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 Seiten
...PROPOSITION 36. THEOREM. 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...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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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890
...of which cuts the circle (but does not pass through the centre), and the other touches the circle, 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. 5. Inscribe a circle in a given regular...
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Practical Plane Geometry: Giving the Simplest Modes of Constructing Figures ...

John Fry Heather - 1890 - 172 Seiten
...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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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 400 Seiten
...cut the circle, and the other to meet it; and if the square on the line which meets it, is equal to the rectangle contained by the whole line which cuts the circle, and tlie part of it without the circle, then the line which meets the circle touches it. Let P be a pt....
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Examinations Papers

1891 - 720 Seiten
...from P to the circle. D. If from a point outside a circle two straight lines be drawn, one of which cuts the circle and the other touches it; the rectangle...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 Council of Public Instruction of the North-West Territories of ...

Northwest Territories Council of Public Instruction - 1897 - 628 Seiten
...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 on the line which meets the circle, the line which meets the circle shall be...
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Calendar, for the Year ...

1899
...SCHOLARSHIP EXAMINATION. 6. 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...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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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Bücher 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 Seiten
...circle there are 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...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 be a tangent to it....
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