 | War office - 1861 - 260 pages
...line which is made up of 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.... | |
 | Euclides - 1861 - 464 pages
...be performed by Euclid's Geometry. РROP. 31. — 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 the angle in a segment less than a semicircle is greater than a right... | |
 | War office - 1861 - 714 pages
...and the greater is 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 than a right angle, and the angle in a segment less than a semicircle is greater than a right... | |
 | Euclides - 1862 - 172 pages
...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 the angle in a segment...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 pages
...given arc is bisected in D. QEF PROPOSITION 31.— 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 the angle in a segment less than a semicircle is greater than a right... | |
 | Robert Potts - 1863 - 482 pages
...of which two sides are 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 than a right angle; and the angle in a segment less than a semicircle is greater than a right... | |
 | Euclides - 1863 - 122 pages
...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 ADC, and join AB, AD, DC, and AC. Also join AE, and produce BA to... | |
 | Euclides - 1864 - 262 pages
...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 the angle in a segment...angle. Let ABCD be a circle, of which the diameter is BC, and center E, and let CA be drawn, dividing the circle into the segments ABC, ADC. Join BA,... | |
 | Henry White - 1864 - 156 pages
...in the circumference, 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 than a right angle; and the angle in a segment less than a semicircle is greater than a right... | |
 | Euclides - 1864 - 448 pages
...given arc ADB is bisected 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 right angle; and the angle in a segment less than a semicircle is greater than a right... | |
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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. 
