Books Books 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 94
by Euclides - 1841 - 351 pages ## Examination Christmas,1875

Education Department,London - 1876 - 1010 pages
...in 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 semicircle is greater than a right angle. The greatest rectangle that can be inscribed in a circle is a square. Divide a circle into two segments,... ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1876 - 446 pages
...the angle in a lemicircle i3 a right angle ; but the angle in a segment greater than a semicircle ii less than a right angle ; and the angle in a segment...angle. Let ABCD be a circle, of which the diameter isBC, and center E, and let CA be drawn, dividing the circle into the segments ABC, ADC. Join BA, AD,... ## Annual Report

1876 - 710 pages
...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. Show how this follows from the... ## Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...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 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... ## Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 21

1877 - 684 pages
...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 than a semicircle is greater than a right angle. If from a point in the circumference of a circle any number of chords bo drawn, find the locus of their... ## Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - 452 pages
...Prove 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... ## Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 22

1878 - 634 pages
...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...less than a semicircle is greater than a right angle. The diameter AB of a circle bisects a chord PP' in M ; on AM, BM as diameters circles are described.... ## The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 pages
...if the centre falls without the triangle, the angle opposite to the side beyond which it is, being in a segment less than a semicircle, is greater than a right angle (24. cor.}. Conversely, if the given trwngle le acute-angled, tht centre of the circle falls within... ## The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...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,...than a semicircle, is greater than a right angle. ADC, and join BA, AD, DC; the angle in the semicircle BA C is a right angle; the angle in the segment... 