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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. "
Pure mathematics - Página 281
por Edward Atkins - 1874
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861 - 572 páginas
...fourth converging fraction to VJI . • 7. In a circle the angle in a semicircle is a right angle, the angle in a segment greater than a semicircle is less...less than a semicircle is greater than a right angle. If two chords AB, CD in a circle cut each other at right angles, the sum of the opposite arcs AC and...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 páginas
...nearer to the centre than the less. 2. In a circle the angle in a semicircle is a right angle; but the angle in a segment greater than a semicircle is less...less than a semicircle is greater than a right angle. 10 DIRECT COMMISSIONS. VOLUNTAKY PORTION. 1. Similar triangles are to one another in the duplicate...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 páginas
...the half and the part produced. 3. 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 right angle. 4. To describe an equilateral and equiangular hexagon in a given circle. 5. If two triangles have one...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 páginas
...bIsected in D. PROP. XXXI.— THEOREM. In a circle, the angle in a semicircle is a right angle ; but the angle in a segment greater than a semicircle is less...less than a semicircle is greater than a right angle. (References — Prop. i. 5, 17, 32 ; in. 22.) Let ABCD be a circle, of which the diameter is BC, and...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 páginas
...if 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.) Wherefore, conversely, if the given triangle be acute-angled, the centre of the circle falls...
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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volumen2

Robert Potts - 1863 - 482 páginas
...parallel to two sides of AB CD. 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...less than a semicircle is greater than a right angle. The circumferences of three unequal circles, whose centres are A, B, C, pass through a common point...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 páginas
...(THEouEM.)—In a circle (ABCD), the angle in a semicircle (BAC) is a right angle; theannlein a segment (ABC) greater than a semicircle is less than a right angle; and the angle (ADC) in a segment less than a semicircle is greater than a right emgle. Take any point Din the arc...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 páginas
...in DQEF PROPOSITION XXXI. THEOREM. 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. Let ABCD be a circle, of which the diameter is BC, and center E, and let CA be drawn, dividing the circle...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 páginas
...in DQEF PROPOSITION XXXI. THEOREM. In a circle, the angle in a semicircte 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. Let ABCD be a circle, of which the diameter is BC, and eenter E. and let CA be drawn, dividing the circle...
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Civil service guide

Robert Johnston (F.R.G.S.) - 1869 - 196 páginas
...which shall touch a given circle. 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...less than a semicircle is greater than a right angle. ALGEBRA. I. Specimen Paper, (Time, 8 hours.) 1. Fiud (1) the sum, (2) the difference, of the two expressions—...
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