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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: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...center of the circles AB C, C DE. Therefore if two circles, &c. Q^ED PROP. PROP. VII. THEOR. Boot fin TF any point be taken in the diameter of a circle, which •*• is not the center, of all the ftraight lines which can be drawn from it to the circumferen"ce, the greateft is...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...the circles ABC, CDE. Therefore, if two circles, &c. Q..ED PROP. Bobk III. PROP. VII. THEO R. rany point be taken in the diameter of a circle, which . is not the center, of all the ftraight lines which can be drawn from it to the circumference, the greateft is...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...touch one another within, they will not have the fame center. Which was to be demonftrated. PROP. VII. If any point be taken in the diameter of a circle, which is not the center of the circle ; and from this poiut let certain ftraight lines fall upon the circle, that will...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...centre of the circles ABC, CDE. Theiefpre, if two circles, &c. QED PROP. B»k II r. PROP. VII. THEO R. IF any point be taken in the diameter of a circle, which \s not the centre, of all the ftraight lines which can he drawn from it to the circumference, the greateft...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...wherefore F is not the centre of the circles ABC, CDE. Therefore, if two circles, QED PROP. VII. THEO R. IF any point be taken in the diameter of a circle which is not the centre, of all the ftraight lines which can be drawn from it to the circumference, the greateft is that in which the centre...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...ABC, CDG. Wherefore, if two circles, &c. Q^ ED PROP. BOOK III. b »4. i. c »3. i. PROP. VII. THEOR. IF any point be taken in the diameter of a circle, which is not the centie, of all the flraight lines which can be drawn from it to the circumference, the greateft is...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...the center of the circles ABC, CDE. Therefore if two circles, &c. Q^ED Book I11. PROP. VII. THE OR. IF any point be taken in the diameter of a circle which is not the center, of all the ftraight lines vhich can be drawn from it to the circumference, the greateft is...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...wherefore F is not the centre of the circles ABC, CDE. Therefore, if two circles, &c. QED PROP. VII. THEOR. IF any point be taken in the diameter of a circle,...other part of that diameter is the least ; and, of any others, that which is nearer to the line which passes through the centre is always greater than...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...the circles ABC, CDE. cles, &c. QED Therefore, if two cirPROP. VII. THEOR. IF any point be taken jn the diameter of a circle, which is not the centre,...the other part of that diameter is the least; and of all other lines that which is nearer to the line passing through the centre is always greater than...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...If two circles touch one another internally, they shall not have the same centre. Prop. VII. Theor. If any point be taken in the diameter of a circle,...centre is, and the other part of that diameter is the leastj and, of any others, that which is nearer to the line which passes through the centre is always...
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