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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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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863
...and the other meets the circle, and the rectangle AB.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 (III. 37). Because BD touches...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864
...the centre, 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 of the line which touches the circle. Two circles intersect, AB is their common chord, a point 0 is...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...other meets the circle, and that the rectangle AB, BC, contained by the whole of the cutting line, and the part of it without the circle, is equal to the sqvare on BD which meets it ; therefore the straight line BD touches the circle A CD : (in. 37.) and...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...other meets the circle, and that the rectangle AB, 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 ; the straight line BD touches the circle ACD ; (in. 37) and because BD touches...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 páginas
...and the other meets it, and that the rectangle AB, BC, contained by the whole of the cutting line, and the part of it without the circle, is equal to the square on BD which meets it ; therefore the straight line BD touches the circle A CD. [III. 37. And, because...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 páginas
...and the other meets it, and that the rectangle AB, BC, contained by the whole of the cutting line, and the part of it without the circle, is equal to the square on BD which meets it ; therefore the straight line BD touches the circle A CD. [I II. 3 7. And, because...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 páginas
...other meets the circle, and that the rectangle AB, BC, contained by the whole of the cutting line, and the part of it without the circle, is equal to the square on BD which meets it ; therefore the straight line BD touches the circle A CD : (ilI. 37.) and because...
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An elementary course of plane geometry and mensuration

Richard Wormell - 1870 - 276 páginas
...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 is equal to the square of the tangent. 50. The line joining the centres of two circumferences is perpendicular to their common...
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The Edinburgh university calendar

Edinburgh univ - 1871
...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 of the line which touches it. 6. Prove that similar triangles are to one another in the duplicate ratio...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...other meets the circle, and that the rectangle AB, BC, contained by the whole of the cutting line, and the part of it without the circle, is equal to the square on BD which meets it; therefore 2. The straight line BD touches the circle ACD (III. 37) ; and because...
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