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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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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - Geometry - 1765 - 464 pages
...which is not greater than the diameter of the circle a. Let the given circle be ABc, and D a given line not greater than the diameter of the circle : it is...required to apply a right line in the circle ABC equal to the given right line D. Draw the diameter B c of the circle ABC; then if B c be equal to D, the thing...
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The Elements of Euclid,: In which the Propositions are Demonstrated in a New ...

Euclid - Geometry - 1776 - 318 pages
...circumference of the circle. PROP. I. P Pv O B. ]0 apply a right line in a circle, equal to a given right line, not greater than the diameter of the circle. It is required to app!) a right line in the circle ABC, equal to a given right line D, not greater than the diameter...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...which is not greater than the diameter. Let the given circle be ABC ; and D the given ftraight line, not greater than the diameter of the circle : it is required to apply in the circle ABC a ftraight line equal to the ftraight Hue D. Let BC the diameter of the circle ABC...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...greater than the diameter of the circle. Let ABC be the given circle, and Dthe 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, 1f...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 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, any diameter of the circle ABC ; then,...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 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* CB the diameter of the circle ABC; then,...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 380 pages
...straight line, not greater than the diameter. Let ABC be a given circle, and D a given straight line not greater than the diameter of the circle : it is required to place in ABC a chord equal to D. Draw BC a diameter of the circle ABC ; then, if BC be equal to D,...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 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 Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...greater than the diameter of the circle. Let ABC be the given circle, and T> 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,...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 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 BC the diameter of the circle ABC: then, if...
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