Books Books 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. The Theory and Practice of Surveying: Containing All the Instructions ... - Page 38
by Robert Gibson - 1811 - 508 pages ## A Compleat Treatise of Practical Navigation Demonstrated from It's First ...

Archibald Patoun - Navigation - 1734 - 414 pages
...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 - Surveying - 1795 - 319 pages
...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... ## A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - Surveying - 1806 - 452 pages
...for they are all 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...the arc AB is less than a semicircle, therefore half the arc AB, or the angle ADB is less than half a semicircle, and consequently less than a right angle,... ## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...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,... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 320 pages
...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,... ## A Treatise of Practical Surveying, ...

Robert Gibson - 1808 - 440 pages
...for they are all measured by half the arc they stand on* viz. by half the arc AB. fig. 26. Plate I. Cor. 3. Hence an angle in a segment greater than a...the arc AB is less than a semicircle, therefore half the 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 ..., Volume 5

John Mason Good - 1813 - 722 pages
...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 - Electronic books - 1814 - 508 pages
...to each 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...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 pages
...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,... 