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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 Theory and Practice of Surveying: Containing All the Instructions ... - Σελίδα 52
των Robert Gibson - 1814 - 508 σελίδες
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## Euclidian Geometry

Francis Cuthbertson - 1874 - 349 σελίδες
...may be proved that PROPOSITION XVI. 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 A PB be a © of...

## The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...DQEF PROPOSITION 31. — Theorem. 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 A BCD be a...

## Pure mathematics, Τόμος 1

Edward Atkins - 1874
...DQJE.F. Proposition 31. — Theorem. 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 ABC be a circle,...

## Designing valve gearing

Edward J C. Welch - 1875
...in the enunciation to be, that "in a circle the angle in a semicircle is a rig/lit 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," is the basis upon...

## Annual Report

1876
...the algebraical equivalent of this proposition. 6. The angle in a semi-circle is a right angle, the angle in a segment greater than a semi-circle is less than a right angle, and in a segment less than a semi-circle it is greater than a right angle. Show how this follows from...

## Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 σελίδες
...DQEF Proposition 31. — Theorem. 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 ABC be a circle,...

## Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...right angle ; the angle in a segment less than a semicircle is greater than a right angle ; and the angle in a segment greater than a semicircle is less than a right angle. Let А В be a diameter and А С a chord of a circle, ADBE ; then Л А С В in the semicircle AC...

## Examination Christmas,1875

...the circumference. SECTION III. 1. 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. The greatest rectangle...

## Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - 413 σελίδες
...by means of the equation to a circle that the angle in a semicircle is a right angle, and that the angle in a segment greater than a semicircle is less than a right angle. 13. Find the equation to the tangent of an ellipse; prove that from a given point two tangents can...

## First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...perpendicular and the obtuse angle. 10. 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. 11. Inscribe an...