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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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## 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 - 72 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...

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

Rev. John Allen - 1822 - 516 σελίδες
...in D. PROP. XXXI; THEOR. The angle (BAC) in a semicircle, is a right angle; but an angle (as ABC), in a segment greater than a semicircle, is less than a right angle ; and an angle (as ADC), in a segment less them a semicircle, is greater than a right angle. Let E...

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

Peter Nicholson - 1823 - 210 σελίδες
...two right angles. THEOREM 37. 94. An angle ABD, in a semi-circle, is a right angle ; an 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...

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

James Mitchell - 1823 - 576 σελίδες
...semi-circle, or standing upon a semi-circle or diameter. An ancle in a 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,...

## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 σελίδες
...done. Proposition XXXI. 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 ÀBCD be a...

## The New American Practical Navigator: Being an Epitome of Navigation ...

Nathaniel Bowditch - 1826 - 782 σελίδες
...are .N equal to each other ; for they are all measured by the same arch, viz. half the arch AB. XLII. An angle in a segment greater than a semicircle is less than a right angle. Thus if ABC be a segment greater than a semicircle, the arch AC on which it stands must be less than a semicircle,...

## Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 266 σελίδες
...VIII. THEOREM. . . i In a circle, the angle BAC in a semicirle is a right angle ; but, the angle ABC in a segment greater than a semicircle, is less than a right angle ; and the angle ADC, in, a segment, less than a semicirle, is greater than a right angle. Produce BA...

## Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 σελίδες
...bisected. QEF PROPOSITION XXXI. THEOREM. In a circle the angle in a semicircle is a right angle, also that in a segment greater than a semicircle is less than a right angle, and that in a segment less than a semicircle is greater than a right angle, and moreover the angle...

## Elements of Geometry, Containing the First Six Books of Euclid

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...bisected. QEF PROPOSITION XXXI. THEOREM. In a circle the angle in a semicircle is a right angle, also that in a segment greater than a semicircle is less than a right angle, and that in a segment less than a semicircle is greater than a right angle, and moreover the angle...