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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.
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Page 79
by Euclides - 1816 - 528 pages

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

John Playfair - Euclid's Elements - 1806 - 311 pages
...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...

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

Robert Gibson - Surveying - 1806 - 452 pages
...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...

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

Robert Simson - Trigonometry - 1806 - 518 pages
...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...

## A Treatise of Practical Surveying, ...

Robert Gibson - 1808 - 440 pages
...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 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...

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

Robert Gibson - Surveying - 1811 - 508 pages
...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 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...

## Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813
...lines. Prop. XXX. Prob. To bisect a given circumference, that is, to divide it into two equal parts. Prop. XXXI. Theor. In a circle, the angle in a semicircle...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 Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...draw CD at right angles to AB, and join AD, DB : The circumference ADB is bisected in the point D. PROP. XXXI. THEOR. IN a circle, the angle in a semicircle...angle. Let ABCD be a circle, of which the diameter is EC, and centre E; and draw CA, dividing the circle into the segments ABC, ADC, and join BA, AD, DC;...

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

Robert Gibson - Electronic books - 1814 - 508 pages
...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 semicircle is less than a right angle ; thus ADB is measured by half the arc AB, but as the arc AB is less thai* a semicircle, therefore...