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

John Mason Good - 1819
...circumference, ili;ii is, to divide it into two equal parts. Prop. XXXI. Theor. In a circle, theanglein* semicircle is a right angle; but the angle in a segment...less than a semicircle is greater than a right angle. Prop. XXX IL Thcor. If a straight line touche» a circle, and from the point of contact a straight...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 333 pages
...DC ; the angle in the semicircle BAC is a right angle ; and 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 semicircle, is greater than a right angle. Join AE, and produce...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Euclid, Rev. John Allen - Astronomy - 1822 - 494 pages
...(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,...
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Description and Use of a Diagram of Navigation: By which All Problems in ...

George Watson - Navigation - 1822 - 4 pages
...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...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Euclid, Rev. John Allen - Astronomy - 1822 - 494 pages
...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 be the...
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The New Practical Builder and Workman's Companion, Containing a Full Display ...

Peter Nicholson - Architecture - 1823 - 596 pages
...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 to F,...
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Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - Mathematics - 1823 - 576 pages
...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,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...; the angle in the semicircle ВАС is a right angle ; and 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 semicircle, is greater than a right angle. Join AE, and produce...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826
...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 to F, takeE, the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 320 pages
...eirele, the angle in a semieirele is a right angle ; but the angle in a segment greater than a semieirele is less than a right angle ; and the angle in a segment less than a semieirele is greater than a. right angle. Let ABCD be a eirele, of whieh the diameter is BC, and eentre...
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