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" If from a point without a 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... "
A companion to Euclid: being a help to the understanding and remembering of ... - Page 77
by Euclides - 1837 - 88 pages
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...CA, AF: for each of them is equal to the square on the straight line AD, which touches the circle. PROPOSITION XXXVII. THEOREM. If from a point without...and the other meets it ; if the rectangle contained hy tin whole line which cuts the circle, and the part of it without the circle, be equal to the square...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...which touches the circle. PROPOSITION 37.— THEOREM. If from a point without a circle there be dfawn 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...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...CA, AF: for each of them is equal to the square on the straight line AD, which touches the circle. PROPOSITION XXXVII. THEOREM. If from a point without a circle there be drawn two straight lines, one nf which cuts the circle, and the other mects it ; if the rectangle contained bg the whole line which...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...CA, AF: for each of them is equal to the square on the straight line AD, which touches the circle. PROPOSITION XXXVII. THEOREM. If from a point without a circle there be drawn two straight tinea, one of which cuts the circle, and the other meets it ; if the rectangle contained by the whole...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...CA, AF: for each of them is equal to the square on the straight line AD, which touches the circle. PROPOSITION XXXVII. THEOREM. If from a point without...the other meets it ; if the rectangle contained by tlie whole line which outs tfa circle, and the part of it without the circle, be equal to the square...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...the circle, is equal to the square on the line which tonches it ........ m. 36. 5. And conversely, if from a point without a circle there be drawn two...the circle, and the other meets it; if the rectangle under the whole line which cuts the circle, and the part of it without the circle, be equal to the...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...the square on the straight line AD, which touches the circle. PROPOSITION 87. THEOREM. If from any point without a circle there be drawn two straight...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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...AD, which touches the circle. PROPOSITION 87. THEOREM. If from any point without a circle there lie 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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...circle. PROPOSITION XXXVII. THEOREM. /f from a point without a circle there be drawn two straight 'ines, one of which cuts the circle, and the other meets...the rectangle contained by the whole line which cuts ike circle, and the part of it without the circle, he equal lo the square on the line which meets it,...
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Papers for the schoolmaster, Volume 4

1868 - 344 pages
...the locus of the vertices of all triangles on the same base and having the name vertical angle. 2. If from a point without a circle there be drawn [two straight lines cutting it, the rectangles contained by the whole lines and the parts of them without the circle, shall...
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