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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. "
A Treatise of Practical Surveying: Which is Demonstrated from Its First ... - Σελίδα 40
των Robert Gibson - 1806 - 452 σελίδες
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A Compleat Treatise of Practical Navigation Demonstrated from It's First ...

Archibald Patoun - 1734 - 414 σελίδες
...Corollary they _ are all meafured by the fame Arc, viz. half the Arc AB which each of them fubtends. Cor. 3. Hence an Angle in a Segment greater than a Semicircle is lefs than a right Angle ; thus if ADB be a Segment, greater than a Semicircle, (fee the laft Figure)...

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

Robert Gibson - 1795 - 319 σελίδες
...other, for they are all meafured by half the Arc they ftand on, viz. by half the Arc AB. Fig. 26. Cor. Plate I. Cor. 3. Hence an Angle in a Segment greater than a Semicircle is lefs than a right Angle ; thus ADB is meafured by half the Arc AB, but as the Arc AB is lefs than a...

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

John Playfair - 1806 - 311 σελίδες
...to be done. Book in PROP. XXXI. THEOR. IN a circle 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 Jess than a semicircle is greater than a right angle. Let ABCD be a circle,...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 σελίδες
...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 angle. Let ABCD be a circle,...

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

Robert Gibson - 1811 - 508 σελίδες
...each other, for they are all measured by half the arc they stand on, viz. by hall the arc AB. fig. 26. Cor. 3. Hence an angle in a segment greater than a...the arc AB is less than a semicircle, therefore half tha arc AB, or the angle ADB is less than half a semicircle, and consequently less than a right angle....

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

John Mason Good - 1813
...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 angle. Prop. XXXII. Theor....

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

Robert Gibson - 1814 - 508 σελίδες
...other, for they are all measured by balf the arc they stand on, viz. by half the arc AB. l Fig. 26. Cor. 3. Hence an angle in a segment greater than a...measured by half the arc AB, but as the arc AB is less thai* a semicircle, therefore half the arc AB, от the angle ADBis less than half a semicircle, and...

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

Euclides - 1816 - 528 σελίδες
...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 angle. Let ABCD be a circle,...

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

John Playfair - 1819 - 317 σελίδες
...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 angle. Let ABCD be a cir.de,...

Description and Use of a Diagram of Navigation: By which All Problems in ...

George Watson - 1822 - 4 σελίδες
...than a semicircle is greater than a right angle. 197. An angle in a semicircle is a right angle. 199. An angle in a segment greater than a semicircle is less than a right angle. 200. An angle at the circumference of a circle is half the angle at the centre, standing on the same...




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