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" Let ABC be the given circle, and D the given straight line, not greater than the diameter of the circle. It is required to place in the circle ABC a straight line equal to D. "
The Elements of Euclid: In which the Propositions are Demonstrated in a New ... - Page 54
by Euclid - 1776 - 264 pages
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...than the diameter of the circle. Let ABC be the given circle, and D the given straight line which is not greater than the diameter of the circle. It is required to place in the circle ABC a straight line equal to D. Find (iii. i) the centre of the circle ABC, and...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...greater than the diameter of the circle. Let ABC be the given circle, and D the given straight line, not greater than the diameter of the circle. It is required to place in the circle ABC a straight line equal to D. Draw BC the diameter of the circle ABC. Then, if...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...the circle. (References — Prop. i. 3.) Let ABC be the given circle, and D the given straight line not greater than the diameter of the circle. It is required to place in the circle ABC a straight line equal to D. CONSTRUCTION Draw BC the diameter of the circle...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...greater than the diameter of the circle. Let ABCbe the given circle, and D the given straight line, not greater than the diameter of the circle. It is required to place in the circle ABC a. straight line equal to D. Draw BCfhe diameter of the circle ABC. Then, if...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...greater than the diameter of the circle. Let ABC be the given circle, and D the given straight line, not greater than the diameter of the circle. It is required to place in. the circle AllC a straight line equal to D. Draw BC the diameter of the circle Then, if J3...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...the circle. (References — Prop. I. 3.) Let ABC be the given circle, and D the given straight line not greater than the diameter of the circle. It is required to place in the circle ABC a straight line equal to D. CONSTRUCTION Draw BC the diameter of the circle...
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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
...greater than the diameter of the circle. Let ABC be the given circle, and D the given straight line, not greater than the diameter of the circle: it is required to place in the circle ABC, a straight line equal to2>. Draw BC, a diameter of the circle ABC. Then, if...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...greater than the diameter of the circle. Let ABCbe the given circle, and D the given straight line, not greater than the diameter of the circle. It is required to place in the circle ABC a straight line equal to D. Draw .BCthe diameter of the circle ABC. Then, if...
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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...greater than the diameter of the circle. Let PQR be the given circle, and A the given straight line, not greater than the diameter of the circle. It is required to draw a chord in the circle PQR equalto A. With any point P, in the circumference PQR, as centre and...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...greater than the diameter of the circle. Let ABC be the given circle, and D the given straight line, not greater than the diameter of the circle. It is required to place in the circle ABC a straight line equal to D. Construction. Draw BC the diameter of the circle...
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