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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 [book 1-6] with corrections, by J.R. Young - Side 105
av Euclides - 1838
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 sider
...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 - 1775 - 520 sider
...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 - 520 sider
...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 - 1795 - 400 sider
...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 - 1799 - 351 sider
...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 - 1804
...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 ...

Euclid, John Playfair - 1804 - 440 sider
...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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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 sider
...AD, DC; the angle in the semicircle BAC la a right angle ; and the angle in the segment ABO, which is greater than a semicircle, is less than a right angle ; and the angle in the segment ADC, which is less than a semicircle, is greater than a right an^le. Join AE, and produce...
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A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - 1806 - 452 sider
...measured by half the arc they stand on. viz. bv half the arc AB. ftg. 26. . Plate I. Cor. 3. Hence an angle in a segment greater than a semicircle is less than a right angle ; thus ADB is measured by half the arc AB, but as the arc AB is less than a semicircle, therefore half...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 sider
...AD, DC ; the angle in the semicircle BAG is a right angle ; the angle in the segment ABC, which is greater than a semicircle, is less than a right angle ; and the angle in the segment ADC, which is less than a semiciriite is greater than a right angle. Join £iE, and produce...
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