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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 Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1882 - 266 páginas
...The angle in a semicircle is aright angle; the angle in a segment greater than a semicircle, is lens than a right angle ; and the angle in a segment less...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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The Competitor, Volúmenes3-4

1883
...the centre of a circle is double the angle at the circumference standing on the same arc. Deduce that the angle in a segment greater than a semicircle is less than a right angle, and the angle in a semicircle is a right angle. 8. Prove that, if a straight line touch a circle and from the point of...
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The Practice of Navigation: And Nautical Astronomy

Henry Raper - 1882 - 910 páginas
...since IK aa diameter, the angle at M, a point on the circumference, is the angle in a semicircle. 142. The angle in a segment greater than a semicircle is less than a right angle. The segment BAG of the circle being greater than a semicircle, the other segment BDC must be less than...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 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 Civil service year book and official calendar

1884
...line which joins their centres, being produced, shall pass through the point of contact. 9. In any circle, the angle in a semicircle is a right angle,...less than a semicircle is greater than a right angle. Prove that if circles be described on any two sides of a triangle as diameters they will intersect...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...the chords so intercepted in each circle may be equal. 7. 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. When are segments of circles said to be similar ? If two circles touch each other externally, any straight...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884
...same base AB, and having its vertex on the are ADB. An angle in a semicircle is a right angle ; an angle in a segment greater than a semicircle is less than a right angle ; and an angle in a segment less than a semicircle is greater than a right angle. Let ABC be a circle, of...
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885
...it into two equal parts. 7. Describe a square which shall be equal to a given rectilineal figure. 8. In a circle the angle in a semicircle is a right angle;...less than a semicircle is greater than a right angle. 9. Describe an isosceles triangle, having each of the angles at the base double of the third angle....
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Land and Marine Surveying in Reference to the Preparation of Plans for Roads ...

William Davis Haskoll - 1886 - 230 páginas
...such diameter, is equal to a right angle ; and the angle contained by a greater segment of a circle than a semicircle is less than a right angle, and the angle contained by a segment less than a semicircle is greater than a right angle. In any circle (fig. 41),...
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Calendar of Dalhousie College and University

Dalhousie University - 1887
...the circle shall be in that line. 12. 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. 13. TP, TQ, are the two tangents drawn to a circle from the point T. Find the centre C, and join CP,...
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