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. Pure mathematics - Página 281por Edward Atkins - 1874Vista completa - Acerca de este libro
| Woolwich roy. military acad - 1861 - 572 páginas
...fourth converging fraction to VJI . • 7. In a circle the angle in a semicircle is a right angle, the **angle in a segment greater than a semicircle is less...less than a semicircle is greater than a right angle.** If two chords AB, CD in a circle cut each other at right angles, the sum of the opposite arcs AC and... | |
| War office - 1861 - 714 páginas
...nearer to the centre than the less. 2. In a circle the angle in a semicircle is a right angle; but the **angle in a segment greater than a semicircle is less...less than a semicircle is greater than a right angle.** 10 DIRECT COMMISSIONS. VOLUNTAKY PORTION. 1. Similar triangles are to one another in the duplicate... | |
| War office - 1861 - 260 páginas
...the half and the part produced. 3. 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.** 4. To describe an equilateral and equiangular hexagon in a given circle. 5. If two triangles have one... | |
| Euclides - 1862 - 172 páginas
...bIsected in D. PROP. XXXI.— 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...less than a semicircle is greater than a right angle.** (References — Prop. i. 5, 17, 32 ; in. 22.) Let ABCD be a circle, of which the diameter is BC, and... | |
| Euclides - 1862 - 140 páginas
...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.** (III. 31.) Wherefore, conversely, if the given triangle be acute-angled, the centre of the circle falls... | |
| Robert Potts - 1863 - 482 páginas
...parallel to two sides of AB CD. 4. In a circle, the angle in a semicircle is a right angle ; but the **angle in a segment greater than a semicircle is less...less than a semicircle is greater than a right angle.** The circumferences of three unequal circles, whose centres are A, B, C, pass through a common point... | |
| Euclides - 1863 - 122 páginas
...(THEouEM.)—In a circle (ABCD), the angle in a semicircle (BAC) is a right angle; theannlein a segment (ABC) **greater than a semicircle is less than a right angle; and the angle** (ADC) in a segment less than a semicircle is greater than a right emgle. Take any point Din the arc... | |
| Euclides - 1864 - 262 páginas
...in DQEF PROPOSITION XXXI. 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 semicircle is greater than a right angle. Let** ABCD be a circle, of which the diameter is BC, and center E, and let CA be drawn, dividing the circle... | |
| Euclides - 1864 - 448 páginas
...in DQEF PROPOSITION XXXI. THEOREM. In a circle, the angle in a semicircte is a right angle ; but 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 eenter E. and let CA be drawn, dividing the circle... | |
| Robert Johnston (F.R.G.S.) - 1869 - 196 páginas
...which shall touch a given circle. 7. In a circle, the angle in a semicircle is a right angle ; but the **angle in a segment greater than a semicircle is less...less than a semicircle is greater than a right angle.** ALGEBRA. I. Specimen Paper, (Time, 8 hours.) 1. Fiud (1) the sum, (2) the difference, of the two expressions—... | |
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