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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 first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 páginas
...other meets the circle, and that the rectangle ab, b С, 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 (iii. 37) the circle a С d ; and beet cause bd...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...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 ; (III. 37.) 2. The straight line BD touches the circle ACD; and because BD touches...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...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 line which touches it. 3. Define similar figures, and prove that equiangular triangles are similar....
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...circle, and the other touches it ; the rectangle cnnta-iаed by the whole line which cuts the circle, and the part of it without the circle, is equal to the square of the tangent. Let D bе any point without the circle ABС, from -which the two straight lines DA...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...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 line which touches it. If D be any point without a circle ABC and DCA, DB be two straight lines...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 páginas
...circle and the other meets it, so 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 meets it, then the line which meets the circle will touch the circle. VOLUNTARY PORTION....
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...circumference, one of which cuts, and the other meets the circle, and that the rectangle AB • BC contained by the secant, and the part of it without the circle, is equal to the square on BD which meets it ; the straight line BD touches the circle ACD (III. 37) ; and because BD touches...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 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 ED which meets it ; therefore the straight line BD touches the circle A CD : (lll. 37.) and because...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...the other meets it, 4. 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 ; 5. Therefore the straight line BD touches the circle ACD. (III. 37.) 6. And because...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...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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