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" BC, contained by the whole of the cutting line, and the part of it without the circle, is equal to the square of BD which meets it ; therefore the straight line BD touches the circle ACD : (in. "
Elementary Plane Geometry: Inductive and Deductive - Página 96
por Alfred Baker - 1903 - 144 páginas
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - 1890 - 132 páginas
...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. Find the locus of points from which the tangents drawn to two intersecting circles...
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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Libro 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 páginas
...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 be a tangent to it. 'E Let...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901
...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, is equal to the square on the line which touches it. 9. Inscribe a circle in a given triangle. t0. Prove that in a right-angled triangle,...
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Annual Report of the Commissioners ..., Volumen68

1902
...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. 4. Prove that triangles...
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A Text-book of Euclid's Elements for the Use of Schools, Libro 1

Euclid - 1904 - 456 páginas
...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 be a tangent to it. 'E Let...
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Science Examinations ... Reports, Etc

1904
...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 chord of intersection is the...
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Calendar, for the Year ...

1905
...a point without a circle a tangent and a secant be drawn, then the rectangle contained by the whole secant and the part of it without the circle is equal to the square on the tangent. ((/) About a given circle circumscribe a triangle equiangular to a given triangle. (e) If two triangles...
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The Ontario High School Geometry: Theoretical

Alexander H. McDougall - 1910 - 302 páginas
...secant and the other meets the circle so that the square on the line which meets the circle is equal to the rectangle contained by the secant and the part of it without the circle, the line which meets the circle is a tangent. Hypothesis. — PA- and PBC are drawn to the circle ABC...
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Calendar

University of St. Andrews - 1891
...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 the part of it without the circle be equal to the square on the line which meets the circle, that line shall be a tangent. Describe a...
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The London University Calendar

London univ - 1874
...the circle and the other meets it; 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 of the line which meets the circle, this line shall touch the circle. 10. In a given circle inscribe...
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