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" 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 angle. "
Conditions of Recognition, Classification, and Payment of Teachers in the ... - Σελίδα 173
1923 - 237 σελίδες
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 σελίδες
...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 semicircle is greater than a right angle. Let ABCD be a circle, of which the diameter is BC, and 'centre E; and draw CA dividing the circle into...

A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - 1806 - 486 σελίδες
...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,...

A Treatise of Practical Surveying, ...

Robert Gibson - 1808 - 482 σελίδες
...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,...

The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1811 - 580 σελίδες
...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,...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813 - 714 σελίδες
...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 semicircle is greater than a right angle. Prop. XXXII. Theor. If a straight line touches я circle, an J from the point of contact a straight...

The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1814 - 558 σελίδες
...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,...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 σελίδες
...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 semicircle is greater than a right angle. Let ABCD be a circle, of which the diameter is BC, and centre E; and draw CA, dividing the circle into...

A Treatise on Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - 1818 - 502 σελίδες
...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,...

Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 σελίδες
...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 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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 σελίδες
...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 ceatre of Ihe circle falls within it : if it...




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