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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 synoptical Euclid; being the first four books of Euclid's Elements of ... - Página 97
por Euclides - 1853
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A School Course of Mathematics

David Mair - 1907 - 412 páginas
...passes through the 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...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, Partes1-4

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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The Dublin University Calendar, Volumen1

Trinity College (Dublin, Ireland) - 1910 - 578 páginas
...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 - 250 páginas
...then the sum of the arcs AD and BC is equal to one-half of the circumference of the circle. (12) 10. If, from any point without a circle, two straight...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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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912 - 632 páginas
...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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Special Reports on Educational Subjects, Volúmenes26-27

Great Britain. Board of Education - 1912 - 1048 páginas
...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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Annual Report of the Department of Education of ..., Volumen4,Parte1911;Volumen6

Alberta. Department of Education - 1912 - 244 páginas
...determine a point such that the two tangents drawn from it may contain a given angle. 8 8. If from a point without a 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...
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The Dublin University Calendar, Volumen1

Trinity College (Dublin, Ireland) - 1918
...intercepted between the acute angle, and the perpendicular drawn to that side from the opposite angle. 5. If from any point without a circle two straight lines...the circle, and the part of it without the circle, is equal to the square of the line which touches it. 6. How many circles can be described to touch...
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Report of the examination held (Dec. 1859)-73

Cowley Oxon, dioc. school - 1860 - 318 páginas
...shall touch a given circle. 8. The angles in the same segment of a circle are equal to. one another. 9. If from any point without a circle two straight lines...the whole line which cuts the circle and the part without the circle is equal to the square of the line which touches it. 10. About a given circle describe...
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The Elements of Plane Geometry

Euclid - 1845 - 328 páginas
...on OE - sq. on OA = sq. on EC + sq. on OC - sq. on OA = sq. on EC. Hence, if, from a point outside a circle, two straight lines be drawn, one of which...the other touches it, the rectangle contained by the segments of the former line is equal to the square on the tangent. Again, let EC be a line meeting...
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