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" The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. "
Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ... - Page 99
by Euclides - 1845
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...greater than a femicircle is lefs than a right angle ; and the angle in a fegment lefs than, a femicircle is greater than a right angle. \ Let ABCD be a circle, of which the diameter is BC, and center E; and draw CA dividing the circle into the fegments ABC, ADC, and join BA, AD, DC. the angle...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...right angle ; and the angle in a fegment lefs than a femieircle is greater than a right angle. i • Let ABCD be a circle, of which the diameter is BC, and center E ; and draw CA dividing the circle into the ferments ABC, ADC, and join BA, AD, DC ; the angle...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...greater than a femicircle is lefs than a right angle ; and the angle in a fegment lefs than a femicircle is greater than a right angle. Let ABCD be a circle,...centre E ; and draw CA dividing the circle into the fegments ABC, ADC, and join BA, AD, DC ; the angle in the femicirele B AC is a right angle; and the...
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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
...greater than a femicircle is lefs than a right angle ; and the angle in a fegment lefs than a femicircle is greater than a right angle. Let ABCD be a circle, of which the diameter is BC, and centre E ; arid draw CA dividing the circle into the fegments ABC, ADC, and join BA, AD, DC; the angle in the...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...angle ; and the angle in a fegment lefs than a femicircle, is greater than a right angle. Let a 5. i. Let ABCD be a circle, of which the diameter is BC, and BooK III. centre E ; and draw CA, dividing the circle into the fegments ABC, ADC, and join BA, AD,...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...greater than a" femicircle is lefs than a right angle ; and the angle in a fegment lefs than a femicircle is greater than a right angle. Let ABCD be a circle, of which the diameter is BC, and cenr ter E ; and draw CA dividing the circle into the fegments ABC, ADC, and join BA, AD, DC. the angle...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...the angle in a fegment lefs than a femicircle is greater than a right angle. to EBA ; al£o, becaufe Let ABCD be a circle, of which the diameter is BC, and centre E ; draw CA dividing the circle into the fegments ABC, ADC, and join BA, AD, DC ; the angle in the femicircle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...in a segment greater than a semicircle is less than a right angle ; and the angle in a segment Jess than a semicircle is greater than a right angle. Let...circle, of which the diameter is BC, and centre E ; draw CA dividing the circle into the segments ABC, ADC, and join BA, AD, DC ; the angle in the semicircle...
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A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - Surveying - 1806 - 486 pages
...angle ADB is less than half a semicircle, and consequently less than a right angle, fig. 26. Cor. 4. An angle in a segment less than a semicircle, is greater than a right angle, for since the arc AEC is greater than a semicircle, its half, which is the measure of the angle ABC,...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...if the centre falls without the triangle, the angle opposite to the side beyond which it is, being in a segment less than a semicircle, is greater than a right angle : wherefore, if the given triangle be acute angled, the centre of the circle falls within it ; if it...
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