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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: Chiefly from the Text of Dr. Simson, with ... - Pàgina 144
per Robert Potts - 1876 - 403 pàgines
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A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - 1806 - 486 pàgines
...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 - 1806 - 546 pàgines
...bisected in D. Which was to be clone. C PROP. XXXI. THEOR. IN a circle, the angle in a semicircle is a right angle ; but 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...
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A Treatise of Practical Surveying, ...

Robert Gibson - 1808 - 482 pàgines
...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 Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1811 - 580 pàgines
...angle ADB is less than half a semicircle, and consequently less than a right angle. Fig. sr. 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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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813 - 714 pàgines
...is, to divide it into two equal parts. Prop. XXXI. Theor. In a circle, the angle in a semicircle is a right angle; but 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...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1814 - 558 pàgines
...angle ADBis less than half a semicircle, and consequently less than a right angle. Fig. У!. 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: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pàgines
...is bisected in D. Which was to be done. PROP. XXXI. THEOR. IN a circle, the angle in a semicircle is a right angle; but 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...
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A Treatise on Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - 1818 - 502 pàgines
...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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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pàgines
...the angle in a semicircle is a right angle ; but the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment...semicircle is greater than a right angle. Let ABCD be a cir.de, of which the diameter is BC, and centre E ; draw CA dividing the circle into the segments ABC,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 pàgines
...is bisected in D. Which was to be done. PROP. XXXI. THEOR. hi a circle, the angle in a semicircle is a right angle ; but 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...
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