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" ... a circle. 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 opposite angles of any quadrilateral... "
The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ... - Page 135
by Euclides - 1833
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Annual Report

1876 - 710 pages
...twice the rectangle contained by the two parts. Give 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....
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...supplement of the sum of Ç DB and DB С. Consequently Л D С В is the supplement of Л DAB. THEOREM XXXV. The angle in a semicircle is a 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...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 21

1877 - 678 pages
...and produced to F, and if CH be produced to meet BF in L, prove that CL is perpendicular to BF. 6. In a circle, the angle in a semicircle is a right angle ; the angle iu a segment greater than a semicircle is less than я right angle ; and the angle in a segment less...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 22

1878 - 632 pages
...opposite to the right angle C. Show that WRITEBÏ. the angle AFB is half the sum of A and B. June 1877' 2. In a circle 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...
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Parliamentary Papers, Volume 22

Great Britain. Parliament. House of Commons - Great Britain - 1879 - 632 pages
...D. PB and PC are produced to cut the circles in R and S. Shew that the angles AQR, DQS are equal. 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 the angle in a segment less than a semi-circle is greater than a right...
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Report of Her Majesty's Civil Service Commissioners, Together ..., Volume 23

Great Britain. Civil Service Commission - 1879 - 620 pages
...D. PB and PC are produced'to cut the circles in B and S. Shew that the angles AQR, DQS are equal. 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 the angle in a segment less than a semi-circle is greater than a right...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...BG, GC are equal to EH HF; therefore BC is equal (I. 7) to EF. Proposition 21. Theorem.—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...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 568 pages
...within certain limits, and draw the longest and shortest chords that can be drawn through the point. 5. In a circle the angle in a semicircle is a right angle. The circle ABC passes through the centre of the circle DBC ; find the point of intersection of the tangents...
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The Practical Teacher, Volume 2

Education - 1883 - 654 pages
...within certain limits, and draw the longest and shortest chords that can be drawn through the point. 5. In a circle the angle in a semicircle is a right angle. The circle ABC passes through the centre of the circle DBC ; find the point of intersection of the tangents...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884 - 148 pages
...terminated by the circumferences, so that the chords so intercepted in each circle may be equal. 7. 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...
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