 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.  Parliamentary Papers - Page 495by Great Britain. Parliament. House of Commons - 1879Full view - About this book
 | Scottish school-book assoc - 1845 - 444 pages
...to AB. PROPOSITION LII. — THEOREM. An angle ADB in a semicircle is a right angle, and an angle DBA in a segment greater than a semicircle is less than a right angle, and an angle AED in a segment less than a semicircle is greater than a right angle. and v DC=CB, the ZCBD... | |
 | London univ - 1846 - 326 pages
...(2.) &— xy=48y\ xy— y*=3x J ' (3.) *+— a«=0. 9. The angle in a semicircle is a right angle, the angle in a segment greater than a semicircle is...less than a semicircle is greater than a right angle. 10. Inscribe in a given circle an equilateral and equiangular hexagon. 1 1 . Define the sector of a... | |
 | Euclides - 1846 - 292 pages
...bisected in DQEF PROP. XXXI. THEOR. In any circle, tJie angle in a semicircle is a right angle, and the angle in a segment greater than a semicircle is...less than a semicircle is greater than a right angle. Let ABCD be a circle, of which the diameter is BC, and centre E ; and draw CA, dividing the circle... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 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... | |
 | Nathaniel Bowditch - 1846 - 854 pages
...are ernial to each other ; for they are all measured by the same arc, viz. half the arc AB. XLII. An angle in a segment greater than a semicircle is less than a right angle. Thus, if ABC be a segment greater than a semicircle, the arc AC on which it stands must be 1еяч... | |
 | Euclides - 1846 - 272 pages
...21. B. 3.), and therefore the angle ABC is also less than a right angle. PART 3. — The angle ABC in a segment less than a semicircle is greater than a right angle. For assume in the opposite circumference any point D, and draw DA and DC. Therefore since in the quadrilateral... | |
 | Euclides - 1848 - 52 pages
...PROBLEM. To bisect a given circumference, that is, to divide it into two equal parts. PROP. XXXI. THEOREM. In a circle, the angle in a semicircle is a right...less than a semicircle is greater than a right angle. PROP. XXXII. THEOREM. If a straight line touch a circle, and from the point of contact a straight line... | |
 | Great Britain. Council on Education - Education - 1848 - 532 pages
...different combinations that may be made of n different things, taking r of them together. Section 3. 1. In a circle the angle in a semicircle is a right angle,...less than a semicircle is greater than a right angle. 3. Similar triangles are to each other in the duplicate ratio of their homologous (or corresponding)... | |
 | J. Goodall, W. Hammond - 1848 - 390 pages
...different combinations that may be made of n different things, taking r of them together. SECTION III. 1. In a circle the angle in a semicircle is a right angle,...less than a semicircle is greater than a right angle. 2. Describe a circle in a given triangle. 3. Similar triangles are to each other in the duplicate ratio... | |
 | Great Britain. Committee on Education - Education - 1848 - 514 pages
...squares of the sides of the parallelogram. 3. In a circle, the angle in a semicircle is a right anyle ; but the angle in a segment greater than a semicircle is less than a right angle, and llie angle in a segment less than a semicircle is greater than a right angle. 4. To describe a circle... | |
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