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 ## Reports on Elementary schools

Her MAjesty' Inspectors of schools - 1850 - 912 pages
...a triangle is bisected by tbe straight Uac 4 from the vertex bisecting the base of the triangle. 7. The angle in a segment greater than a semicircle is less than a right angle — 1 it ; and find the atea of a segment of a circle containing 60°, whose radiui it 10 8. The two... ## A Collection of Problems and Examples, Adapted to the "Elementary Course of ...

Harvey Goodwin - Mathematics - 1851 - 196 pages
...which is equal to the square, find the other side. 3. 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 greatest rectangle that can be inscribed in a circle is a square. 4. Cut off a segment from a given... ## Papers for the schoolmaster, Volumes 1-6

582 pages
...circle of which it is the segment. 3. 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 t'ne right angle in a segment less than a semicircle is greater than a right angle. State the converse... ## A Manual of Surveying for India, Detailing the Mode of Operations on the ...

Sir Henry Edward Landor Thuillier - Surveying - 1851 - 828 pages
...each other or they are all measured by hp1P the arc they stand on, viz. by half the arc AB. Cor. 3. An angle in a segment greater than a semicircle is less than a right angle; thus ADB is measured by half the arc AB, but as the arc AB is less than a semi-circle, the arc AB or... ## Five Years in an English University, Volume 2

Charles Astor Bristed - 1852 - 470 pages
...the same part of the circumference. 5. 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. 6. If a straight line be drawn parallel to one of the sides of a triangle, it will cut the other sides,... ## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 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... ## The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 pages
...ad, 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... ## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...AD, 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. 3omAE, and produce... ## The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...right angle. Hence the angle in the semicircle BAC is a right angle ; the angle in the segment ABC greater than a semicircle is less than a right angle ; and the angle ADC in the segment less than a semicircle is greater than a right angle. Which was to be proved. COB.... 