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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 on Practical Surveying: Which is Demonstrated from Its First ... - Σελίδα 44
των Robert Gibson - 1818 - 478 σελίδες
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## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 σελίδες
...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, of which the diameter is BC, and 'centre E; and draw CA dividing the circle into...

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

John Mason Good - 1813
...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. 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 - 508 σελίδες
...от the 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,...be greater than half a semicircle, that is, greater thai» a right angle. Fig. 2«. / Cor. 5. An angle in a semicircle is a right angle, for the measure...

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

Euclides - 1816 - 528 σελίδες
...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, of which the diameter is BC, and centre E; and draw CA, dividing the circle into...

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

John Playfair - 1819 - 333 σελίδες
...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, of which the diameter is BC, and centre E ; draw CA dividing the circle into...

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

Robert Gibson - 1821 - 544 σελίδες
...or the angle ADB is less than half a semicircle, and consequently less than a right angle. Fig. 27. Cor. 4. An angle in a segment less than a semicircle,...greater than a right angle, for since the arc AEC tis greater than a semicircle, its half, which is the measure of the angle ABC, must be greater than...

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

George Watson - 1822 - 4 σελίδες
...195. In all plane triangles the sum of the three angles is equal to two right angles, or 180 deg. 198. An angle in a segment less 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...

## Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Euclid, Rev. John Allen - 1822 - 494 σελίδες
...(as ABC), in a segment greater than a semicircle, is less than a right angle; and an angle (as ADC), in a segment less than a semicircle, is greater than a right angle. Let E be the centre of the circle, join AE, and produce BA, as to F; and because, in the triangle EAB,...

## Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - 1823 - 576 σελίδες
...semi-circle, is a right-angle. An angle in a segment, greater than a semi-circle, is less than a right-angle. An angle in a segment, less than a semi-circle, is greater than a right-angle. ANGULAR, something relating to, or having angles. ANGULAR Motion,\* that which is performed...

## The New Practical Builder and Workman's Companion, Containing a Full Display ...

Peter Nicholson - 1823 - 596 σελίδες
...angle BAD, in a segment greater than a semi-circle, is less than a right angle ; and an angle, BED, in a segment less than a semi-circle, is greater than a right angle. Produce AB to F, draw BC to the centre, and, because CA is equal to CB, the angle CBA is equal to CAB...