 | Thomas Stantial - 1859 - 352 σελίδες
...right angle ; the angle in a segment less than a semicircle is greater than a right angle ; and the angle in a segment greater than a semicircle is less than a right angle. C. For the proof of this proposition what ascertained facts of circles are needed ? State also a corollary... | |
 | Horatio Nelson Robinson - 1860 - 470 σελίδες
...one half of the same arc Hence the theorem. THEOREM IX. An angle in a semicircle is a right angle ; an angle in a segment greater than a semicircle is less than a right angle; and an angle in a segment less than a semicircle is greater than a right angle. (Th. 8) ; that is,... | |
 | Joseph Charles Parkinson - 1860 - 154 σελίδες
...circumference. 12. PROP. XXXI. — 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 angle. 13. ABC is a triangle... | |
 | Robert Potts - 1860 - 380 σελίδες
...D. Q EF 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 right angle ; and the angle in a segment less than a semicircle is greater than a right angle. Let ABCD be a circle,... | |
 | Civil service - 366 σελίδες
...the circumference. PHOP. XXI. — 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 angle. ABC is a triangle... | |
 | John Paxton Hall - 1860 - 186 σελίδες
...circumference. PEOP. XXXI. — In a circle, the angle in a semicircle is a right angle ; but the angle is 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. ABC is a triangle... | |
 | Woolwich roy. military acad - 1861 - 572 σελίδες
...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 than a right angle, and the angle in a segment less than a semicircle is greater than a right angle. If two chords AB,... | |
 | War office - 1861 - 714 σελίδες
...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 angle. 10 DIRECT COMMISSIONS.... | |
 | War office - 1861 - 260 σελίδες
...fall upon it from the opposite angle. 3. Show that 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. 4. Define similar... | |
 | Euclides - 1861 - 464 σελίδες
...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 angle. COTS. 10, I. Psts.... | |
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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. 
