 | Euclid, Thomas Tate - 1849 - 120 pages
...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 A BCD be a. circle, of which the diameter is BC, and centre E ; and draw CA dividing the circle into... | |
 | 1850 - 400 pages
...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. 6. To describe an isosceles triangle, having each of the angles at the base double of the third angle.... | |
 | 582 pages
...angle, whilst 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, H>. Inscribe .1 circle in a given triangle. ALGEBRA. SECTION II. 1 . Add together ax — l> y, x +... | |
 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...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 greatest rectangle that can be inscribed in a circle is a square. 4. Cut off a segment from a given... | |
 | Sir Henry Edward Landor Thuillier - Surveying - 1851 - 826 pages
...the angle ADB is less than half a semicircle, and consequently less than a right angle. Cor. 4. An angle in a segment less than a semi-circle is greater than a right angle, for since the arc AEG is greater than a semi-circle, its half, which is the measure of the angle ABC,... | |
 | Charles Astor Bristed - 1852 - 470 pages
...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. 6. If a straight line be drawn parallel to one of the sides of a triangle, it will cut the other sides,... | |
 | Euclides - 1853 - 146 pages
...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...circle into the segments ABC, ADC, and join BA, AD, DC: the angle in the semicircle BAC is a right angle ; and the angle in the segment ABC, which is greater... | |
 | Euclides - Geometry - 1853 - 176 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 : wherefore, if the given triangle be acute-angled, the centre of the circle falls within it ; if it... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 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 : wherefore, if the given triangle be acute-angled, the centre of the circle falls within it ; if it... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...right angle; / BAD 'in a segment' greater than a semi-circle is less than a right angle, and / BCD ' in a segment' less than a semi-circle is greater than a right angle. Join 0D; then since OA = OD, / OAD= L ODA (26) ; and since OB=OD, / OBD = t ODB, .-. / ADB= t OAD +... | |
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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. 
