 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.  Journal - Pagina 5151865Visualizzazione completa - Informazioni su questo libro
 | 1836 - 366 pagine
...3. In a circle the angle in a semicircle is a right angle, but 1829 the angle in a segment greater than a semicircle is less than a right angle, and...less than a semicircle is greater than a right angle. 4. If two triangles have the sides about equal angles reciprocally proportional, they are equal. 5.... | |
 | 1836 - 488 pagine
...circle, the angle in a simicircle is a right angle ; but the angle in a segment greater than a simicircle is less than a right angle; and the angle in a segment less than a simicircle is greater than a right angle. Cor. From this it is manifest, that if one angle of a triangle... | |
 | George Darley - 1836 - 172 pagine
...ART. 73. The angle in a segment greater than the semicircle is less than a right angle, ibid. ART. 74. The angle in a segment less than a semicircle is greater than a right angle,ibid. ART. 75. If a tangent and a chord of a circle be drawn from the same point, ths angle between... | |
 | John Playfair - 1836 - 488 pagine
...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 hi the segment ADC, which is less than a semicircle, is greatef than a right angle. Join AE, and produce... | |
 | John Playfair - 1837 - 332 pagine
...THEOR. 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...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 ; draw CA dividing the circle into... | |
 | Euclides - 1837 - 112 pagine
...Theorem. 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...less than a semicircle is greater than a right angle. Steps of the Demonstration to Part 1st, That the Z in ^ 0 is a right Z1. Prove that Z EAB = Z ABE ;... | |
 | Andrew Bell - 1837 - 290 pagine
...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 Bf angle. the two angles... | |
 | Euclides - 1838 - 264 pagine
...THEOR. In a circle, the angle in a semicircle is a right angle; tut the angle in a segment greater than a semicircle is less than a right angle; and...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... | |
 | Robert Simson - 1838 - 434 pagine
...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... | |
 | Euclides - 1840 - 192 pagine
...angle a Prop. 32). But L ABD=Z. AFD (m. Prop. 2i) ; therefore Z. AFD or the angle in a segment greater than a semicircle is less than a right angle. And the angle in a segment AGD less than a semicircle, is greater than a right angle. For take any point G in the segment, and... | |
| |
