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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. "
Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ... - Página 176
por Euclides, James Hamblin Smith - 1879 - 349 páginas
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Examination Papers: Moderations

University of Oxford - 1879
...the circle of which it is a segment. 9. 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 semicircle is greater than a right angle. 10. If two straight lines cut one another within a circle, the rectangle contained by the segments...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...equal to the square on half the line. 7. 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 semicircle is greater than a right angle. 8. Describe a square on a given straight line. 9. Divide a given straight line into two parts, so that...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...in the circumference. Section III. 1. In a circle, the angle in a semi-circle is a right angle; but the angle in a segment greater than a semi-circle...than a semi-circle is greater than a right angle. The greatest rectangle that can be inscribed in a circle is a square. , 2. From a given circle to cut...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 266 páginas
...therefore BC is equal (I. 7) to EF. Proposition 21. Theorem.—The angle in a semicircle is a right angle; the angle in a segment greater than a semicircle,...than a semicircle, is greater than a right angle. ADC, and join BA, AD, DC; the angle in the semicircle BA C is a right angle; the angle in the segment...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880
...the circumference upon the same base. 4. 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 semicircle is greater than a right angle. Circles are described on the sides of a triangle as diameters. Show that their points of intersection...
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American Practical Navigator

1880
...are ei/ttat to each other ; for they are all measured by the same arc, viz. half the arc AR XLH. An angle in a segment greater than a semicircle is less than a right angle. Thus, if ABC be a segment greater than a semicircle, the arc AC on which it stands must be less than...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 páginas
...when the centre falls without the triangle, the angle opposite to the side beyond which it is, being in a segment less than a semicircle, is greater than a right angle. [III. 31. Therefore, conversely, if the given triangle be acuteangled, the centre of the circle falls...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...hke manner, by drawing a straight line from the point A, within the angle BAC, it may be shown that the angle in a segment greater than a semicircle is less than a rigbt angle. l,-Itrase. — To draw a perpendicular to a straight line from one of its extremities...
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The Oxford examiner, ed. by M.W.I. Shilleto, Temas1-5

Mary W I. Shilleto - 1882
...centre than tie less. Show that all equal chords in a circle will be touched by another circle. 3. In a circle, the angle in a semicircle is a right...less than a semicircle is greater than a right angle. The greatest rectangle that can be inscribed in a circle is a square. 4. Inscribe a regular quindecagon...
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The Competitor, Volúmenes1-2

1882
...with the squares on the other part. 3. In a circle, the angle in a semicircle is a right angle ; but the angle in a segment greater than a semicircle,...less than a semicircle is greater than a right angle. 4. Inscribe a regular equilateral and equiangular pentagon in a given circle. 5. Similar triangles...
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