 | 1863 - 830 páginas
...alternate angles equal to one another. Trisect (1) a right angle, (2) one-fourth of a right angle. 2. The angles in the same segment of a circle are equal to one another. If two circles cut each other the line joining their centres bisects their common chord ; and the common... | |
 | 1852 - 512 páginas
...ABC is trisected in the points D and E, prove tkat C D6 + DE? + E Ct = £ A B2. SECTION III.— 1. The angles in the same segment of a circle are equal to one another. 2. Upon a given straight line to describe a segment of a circle, which shall contain an angle equal... | |
 | Bengal council of educ - 1852 - 348 páginas
...the construction when one of the sides (B for instance) is not less than the sum of the other two. 2. Angles in the same segment of a circle are equal to one another. 3. If the exterior angle of a triangle made by producing one of its sides be bisected by a straight... | |
 | Royal Military Academy, Woolwich - 1853 - 400 páginas
...double of the remaining angle BDC. Therefore the angle at the centre, etc. QE o. PROPOSITION XXI. THEOR. The angles in the same segment of a circle are equal to one another. Let ABCD be a circle, and BAD, BED angles in the same segment BAED : the angles BAD, BED are equal to one... | |
 | John Smythe Memes - 1853 - 752 páginas
...you here seem to confound it. We know that the whole is greater than its part, and we know that all nto you, lest, when I came, 1 should have sorrow from t each other — we have intuition and demonstration as grounds of this knowledge ; but is there no ground... | |
 | 1855 - 264 páginas
...line from a given point, either without or in the circumference, which shall touch a given circle. 9. The angles in the same segment of a circle are equal to one another; 10. If two straight lines cut one another within a circle, the rectangle contained by the segments... | |
 | Great Britain. Committee on Education - 1855 - 976 páginas
...line from a given point, either without or in the circumference, which shall touch a given circle. 9. The angles in the same segment of a circle are equal to one another. 10. If two straight lines cut one another within a circle, the rectangle contained by the segments... | |
 | Robert Potts - 1855 - 1050 páginas
...intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. 6. The angles in the same segment of a circle are equal to one another. AB and AC are given in position, and BCis of constant length; prove that if PS and PC be drawn making... | |
 | Euclides - 1856 - 168 páginas
...case may be) is double of BAG, the sum or difference of the angles BAT, FAG. LX.— EucLin III. 21. The angles in the same segment of a circle are equal to one another. Let ABCD (Fig. 48) be a circle; BAD, BED angles in the same segment BAE D. The angles BAD, BED are equal.... | |
 | Frederick Walter Simms - 1856 - 258 páginas
...as compared with its extent, and is deduced from the well-known theorem, that all angles contained in the same segment of a circle are equal to one another.* The method is as follows: — Place a theodolite at B and another at C (figure 5, plate 7), the two... | |
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The angles in the same segment of a circle are equal to one another. 
