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" If any point be taken in the diameter of a circle which is not the centre, of all the straight lines which can be drawn from it to the circumference, the greatest is that in which the centre is, and the other part of that diameter is the least... "
The College Euclid: Comprising the First Six and the Parts of the Eleventh ... - Page 287
by Euclides - 1865
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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
...of the circles ABC, CDE. Wherefore, if two circles &c. QED PROPOSITION 7. THEOREM. If any point lie taken in the diameter of a circle 'which is not the...of all the straight lines which can be drawn from this point to the circumference, the greatest is that in which the centre is, and the other part of...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...not the center of the circles ABC, CDE. Therefore, if two circles, &c. QED PROPOSITION VII. THEOREM. If any point be taken in the diameter of a circle which is not the center, of all the straight lines which can be drawn from it to the circmnferenre, the greatest is...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 588 pages
...the greater ; which is impossible. Therefore F is not the centre of the circles ABC, CDE. VII. — If any point be taken in the diameter of a circle...of all the straight lines which can be drawn from this point to the circumference, the greatest is that in which the centre is, and the other part of...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...not the centre of the circles ABC, CDE. Therefore, if two circles, &c. QED PROPOSITION 7.— Theorem. If any point be taken in the diameter of a circle...centre, of all the straight lines which can be drawn fromit to the circumference, the greatest is that in which the centre is, and the other part of that...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...Theorem. the least. For BE+EF or AI'>BP And base BF > base FC Apain OF + FE >EO and.'.>ED, .•.GF>FD If any point be taken in the diameter of a circle, which is not the centre of all tlie straight lines tvhich can be drawn from this point to tlie circumference, the greatest is that...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...is impossible ; Therefore F is not the centre of the circles ABC, CDE. Proposition 7. — Theorem. If any point be taken in the diameter of a circle, which is not t/ie centre of all the straight lines which can be drawn from HIM point to t/ie circumference, the...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...of the circles ABC, CDE. Therefore, if one circle, &c. QHD, .•.FE=FD Proposition 7. — Theorem. If any point be taken in the diameter of a circle,...of all the straight lines which can be drawn from this point to the circumference, the greatest is that in which the centre is, and the other part of...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...not the center of the circles ABC, CDS, Therefore, if two circles, &c. QED PROPOSITION VII. THEOREM, If any point be taken in the diameter of a circle which it not the center, of all the straight lines uhich can be drawn from it to the circumference, the greatest...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...quadrilateral inscribed in a circle, through the middle points of those sides, meet in a point. 3. If any point be taken in the diameter of a circle...of all the straight lines which can be drawn from this point to the circumference, the greatest is that in which the centre is, and the other part of...
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Examination Papers: Moderations

University of Oxford - Education, Higher - 1879 - 584 pages
...of a given circle. 8. About a given circle, describe a triangle equiangular to a given triangle. 4. If any point be taken in the diameter of a circle...not the centre, of all the straight lines which can he drawn from this point to the circumference, the greatest is that in which the centre is, and the...
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