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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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The American Practical Navigator: Being an Epitome of Navigation and ...

Nathaniel Bowditch - 1888 - 647 páginas
...are equal to each other; for they are all measured by the same arc, viz : half the arc AB. XVI. 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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Annual Report

Canada. Department of the Interior - 1888
...a right angle ; that in a segment greater than a semi circle is less than an right angle, and that in a segment less than a sem-icircle is greater than a right angle1 9. Use the above proposition in a practiual method for drawing from a given point at or near...
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Examinations Papers

1889
...without a circle a straight line touching the circle. 9. The angle in a semicircle is a right angle, the angle in a segment greater than a semicircle is...less than a semicircle is greater than a right angle. ENGLISH. The Board qf Examiner*. Vote.— Fay particular attention to the spelling: and punctuation...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 páginas
...(See Ex. 347.) PROPOSITION 31. THEOREM. 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 semicircle is greater than a right angle. Let ABCD be a 0 of which BC is a diamr. and E the centre, and let CA be drawn dividing the 0 into segts....
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Plane and Solid Geometry

William James Milne - 1899 - 384 páginas
...227. Cor. II. An angle inscribed in a semicircle is a right angle. 228. Cor. III. An angle inscribed in a segment greater than a semicircle is less than a right angle. Proposition XVIII 230. Draw a circle and two intersecting chords ; construct an inscribed angle equal...
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Plane Geometry

William James Milne - 1899 - 242 páginas
...in a segment greater than a semicircle is lens than a right angle. 229. Cor. IV. An angle \nscribed in a segment less than a semicircle is greater than a right angle. Proposition XVIII 230. Draw a circle and two intersecting chords ; construct an inscribed angle equal...
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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Libro 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 páginas
...properties of a tangent to a circle. PROPOSITION 31. THEOREM. The angle in a semicircle is a right angle. The angle in a segment greater than a semicircle is less than a right angle. The angle in a segment less than a semicircle is greater than a right angle. F/ Let ABCD be a circle,...
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Plane Geometry

Edward Brooks - 1901 - 266 páginas
...one-half of the semi-circumference AEC (Th. XVIII.). COR. 2 — Any tingle, as ABC, ADC, etc., inscribed in a segment greater than a semi-circle, is less than a right angle. For it is measured by less than onehalf of a semi-circumference. COR. 3. — Any angle, AEC, inscribed...
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The School World: A Monthly Magazine of Educational Work and Progress, Volumen5

1903
...the same side of it, the four points lie on a circle. The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is...less than a semicircle is greater than a right angle. The opposite angles of any quadrilateral inscribed in a circle are supplementary ; and the converse....
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The Proportions and Movement of Slide Valves

William Dyson Wansbrough - 1903 - 160 páginas
...of Euclid, which enunciates : — " In a circle, the angle in a semi-circle is a right angle ; but the angle in a segment greater than a semi-circle is less than a right-angle ; and the angle in a segment less than a semi-circle is greater than a right-angle." The...
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