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The angles in the same segment of a circle are equal to one another.
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... - Side 81
av Euclid, Robert Simson - 1829 - 516 sider
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## The Elements of Geometry, Symbolically Arranged

...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...
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## The Elements of Euclid, the parts read in the University of Cambridge [book ...

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...
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## Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

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,...
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## The examinations for the degree of bachelor of arts, Jan., 1847

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...
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## The definitions, postulates, axioms, and enunciations of the propositions 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...
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## The first three books of Euclid's Elements of geometry, with theorems and ...

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...
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## The Family tutor

...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...
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## Papers for the schoolmaster, Volumer 1-6

...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...
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## The English Journal of Education, Volum 6

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...
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## Scholarship examinations of 1846/47 (-1853/54).

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...
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