 | Nathaniel Bowditch - 1888 - Liczba stron: 704
...are equal to each other; for they are all measured by the same arc, viz : half the arc AB. XVI. 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 less than... | |
 | Canada. Department of the Interior - 1888 - Liczba stron: 756
...a right angle ; that in a segment greater than a semi circle is less than an right angle, and that in a segment less than a sem-icircle is greater than a right angle1 9. Use the above proposition in a practiual method for drawing from a given point at or near... | |
 | E. J. Brooksmith - 1889 - Liczba stron: 356
...is always greater than one more remote ; and the greater is nearer to the centre than the less. 7. In a circle the angle in a semicircle is a right angle,...less than a semicircle is greater than a right angle. Two circles, whose centres are 0, O', touch each other in the point A, and are met by a common tangent... | |
 | 1889 - Liczba stron: 584
...without a circle a straight line touching the circle. 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. ENGLISH. The Board qf Examiner*. Vote.— Fay particular attention to the spelling: and punctuation... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - Liczba stron: 538
...and C, and drawing the external bisector of the angle ABC. (See Ex. 347.) PROPOSITION 31. THEOREM. In a circle the angle in a semi-circle is a right...semicircle is greater than a right angle. Let ABCD be a 0 of which BC is a diamr. and E the centre, and let CA be drawn dividing the 0 into segts. ABC, ADC.... | |
 | Euclid - 1892 - Liczba stron: 460
...circumference, of a circle. PROPOSITION 31. THEOREM. Tlie amJle in a semicircle is a right angle : the angle in a segment greater than a semicircle is...than a right angle. Let ABCD be a circle, of which BC is a diameter, and E the centre; and let AC be a chord dividing the circle into the segments AB(3,... | |
 | William James Milne - 1899 - Liczba stron: 258
...in a segment greater than a semicircle is lens than a right angle. 229. Cor. IV. An angle \nscribed in a segment less than a semicircle is greater than a right angle. Proposition XVIII 230. Draw a circle and two intersecting chords ; construct an inscribed angle equal... | |
 | William James Milne - 1899 - Liczba stron: 398
...227. Cor. II. An angle inscribed in a semicircle is a right angle. 228. Cor. III. An angle inscribed in a segment greater than a semicircle is less than a right angle. Proposition XVIII 230. Draw a circle and two intersecting chords ; construct an inscribed angle equal... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - Liczba stron: 330
...properties of a tangent to a circle. PROPOSITION 31. 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. The angle in a segment less than a semicircle is greater than a right angle. F/ Let ABCD be a circle,... | |
 | Edward Brooks - 1901 - Liczba stron: 278
...one-half of the semi-circumference AEC (Th. XVIII.). COR. 2 — Any tingle, as ABC, ADC, etc., inscribed in a segment greater than a semi-circle, is less than a right angle. For it is measured by less than onehalf of a semi-circumference. COR. 3. — Any angle, AEC, inscribed... | |
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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. 
