 | Euclides - 1855 - 270 Seiten
...trisection of an angle. PROP. XXXI. THEOREM. 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 anyle in a segment less than a semicircle is greater than a right angle. Let AB СD be a circle, of... | |
 | Cambridge univ, exam. papers - 1856 - 200 Seiten
...angle at the circumference, upon the same base, that is, upon the same part of the circumference. 13. In a circle, the angle in a semicircle is a right...less than a semicircle is greater than a right angle. EUCLID (B). 1. DEFINE a line, a superficies, and the centre of a circle. 2. Upon the same base, and... | |
 | Cambridge univ, exam. papers - 1856 - 252 Seiten
...the point of contact. 10. In a circle, the angle in a semicircle is a right angle; bu.t the angle iii a segment greater than a semicircle is less than a...less than a semicircle is greater than a right angle. 11. From a given circle to cut off a segment, which shall contain an angle equal to a given rectilineal... | |
 | Peter Nicholson - 1856 - 518 Seiten
...two right angles. THEOREM 37. 94. An angle ABD, in a semi-circle, is a right angle ; an angle BAD, in a segment greater than a semi-circle, is less than a right angle ; and an angle, BED, in a segment less than a semi-circle, is greater than a right angle. Produce AB to F,... | |
 | Euclides - 1856 - 168 Seiten
...in ADC and join AB, AE, AD, D C. The angle BAC is a right.angle ; the angle ABC in the segment ABC greater than a semicircle is less than a right angle ; and the angle ADC in the segment ADC less than a semicircle is greater than a right angle. Because EB is equal to... | |
 | W. Davis Haskoll - 1858 - 422 Seiten
...right angle ; and an angle in a segment greater than the semicircle is less than a right angle ; and an angle in a segment less than a semicircle is greater than a right angle. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the... | |
 | Sandhurst roy. military coll - 1859 - 672 Seiten
...are together equal to two right angles. 5. 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 Jess than a semicircle is greater than a right angle. 6. If from any point without a circle two straight... | |
 | Thomas Stantial - 1859 - 352 Seiten
...is a 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... | |
 | Robert Potts - 1860 - 380 Seiten
...arc AD is equal to the arc DB. Therefore the given arc ADB is bisected in D. Q EF PROPOSITION XXXI. THEOREM. In a circle, the angle in 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... | |
 | Civil service - 366 Seiten
...circumference upon the same base, that is, upon the same part of the circumference. PHOP. XXI. — In a circle, the angle in a semicircle is a right...less than a semicircle is greater than a right angle. ABC is a triangle of which the angle A is acute ; show that the square of BC is less than the squares... | |
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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. 
