 | Nathaniel Bowditch - 1888 - 704 páginas
...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 - 756 páginas
...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 - 356 páginas
...drawn, meeting them in E and F. Prove that the triangles AEB and CFD are equiangular to one another. 6. The angle in a semi-circle is a right angle, and the...than a semi-circle is greater than a right angle. 7. If two straight lines cut one another within a circle, the rectangle contained by the segments of... | |
 | 1889 - 584 páginas
...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 - 538 páginas
...(See Ex. 347.) PROPOSITION 31. THEOREM. In a circle the angle in a semi-circle is a right angle ; but the angle in a segment greater than a semi-circle...than a 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.... | |
 | William James Milne - 1899 - 398 páginas
...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... | |
 | William James Milne - 1899 - 258 páginas
...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... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 páginas
...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 - 278 páginas
...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... | |
 | 1903 - 692 páginas
...the same side of it, the four points lie on a circle. 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. The opposite angles of any quadrilateral inscribed in a circle are supplementary ; and the converse.... | |
| |
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. 
