| Great Britain. Admiralty - 1846
...rem. /. BEC = 2 . rem. /. BAC. Therefore, the angle at the centre, &c. PROP. LVI. THEOR. 21. 3Eu. The **angles in the same segment of a circle are equal to one another.** c Let F be Cr. of 0 ABCD. fig i 1st Case. Let seg. BAED> semi 0. Join BF, FD: 1:11611 ' \L BAD is at... | |
| Euclides - 1846
...double of the remaining angle BAC. Wherefore, Tlie angle at the centre %c, QED PROP. XXI. THEOR. The **angles in the same segment of a circle are equal to one another.** and, first, Let ABCD be a circle, and BAD, BED, angles in the same segment BAED : the angles BAD, BED... | |
| Euclides - 1846
...angle ACD shall be equal to double of the angle ABD. PROPOSITION XXI. THEOREM. The angles (BAD and BED) **in the same segment of a circle are equal to one another.** First — Let the segment BAD be greater than a semicircle, and let C be the centre of the circle,... | |
| Cambridge univ, exam. papers - 1847 - 80 sider
...quadrilateral figure are equal to one another, the diagonals bisect each other at right angles. a. The **angles in the same segment of a circle are equal to one another.** /3. If gold can be beaten out so thin that a grain will form a leaf of 56 square inches, how many of... | |
| Euclides - 1848
...circumference upon the same base, that is, upon the same part of the circumference. PROP. XXI. THEOREM. The **angles in the same segment of a circle are equal to one another.** PROP. XXII. THEOREM. The opposite angles of any quadrilateral figure inscribed in a circle, are together... | |
| Euclides, Thomas Tate - 1849 - 108 sider
...double of the remaining angle BDC. Therefore the angle at the centre, &c. QED PROP. XXI. THEOR. The **angles in the same segment of a circle are equal to...: And, first, let the segment BAED be greater than** a semicircle, and join BF, FD: And because the angle BFD is at the centre, and the angle BAD at the... | |
| ...the fixed straight line OA. Let this circular arc be moved into the position aOb ; then, since the **angles in the same segment of a circle are equal to one another** (Euclid, B. iii. Prop. 21), therefore the straight line 4O makes the same angle with the fixed straight... | |
| ...rectangle contained by the whole and that part, together with the square of the other part. 3. The **angles in the same segment of a circle are equal to one another.** 4. Upon a given straight line- describe a segment of a circle, which shall contain an angle equal to... | |
| 1852
...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
...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... | |
| |