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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 the First Six Books of Euclid, with a ... - Pągina 78
per Euclid, John Playfair - 1846 - 317 pągines
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pągines
...right angle, also that in a segment greater than a semicircle is less than a right angle, and that in a segment less than a semicircle is greater than a right angle, and moreover the angle of a greater segment ts greater than a right angle, but that of a less segment...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 326 pągines
...in a semieirele is a right angle ; but the angle in a segment greater than a semieirele is less than a right angle ; and the angle in a segment less than a semieirele is greater than a. right angle. Let ABCD be a eirele, of whieh the diameter is BC, and eentre...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 pągines
...in a semicircle is a right angle ; but 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. Let ABCD be a circle, of which the diameter is BC, and centre E; and draw CA, dividing the circle into...
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New Series of The Mathematical Repository, Volum 5

Thomas Leybourn - 1830 - 630 pągines
...in a semicircle is a right angle: but 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. 2. Extract the square root of 235.6 to two places of decimals : and the cube root of .000079507. 3....
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1833 - 304 pągines
...angle in a semicircle is a right angle; the angle in a segment greater than a semicircle is an acute angle ; and the angle in a segment less than a semicircle is obtuse. PART 1. The angle in a semicircle is a right angle. Draw a diameter connecting the extremities...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pągines
...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 : Wherefore, if the given triangle be acute-angled, the centre of the circle falls within it; if it...
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The Element of Geometry

John Playfair - 1836 - 148 pągines
...in a semicircle is a right angle ; but 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. Let ABCD be a circle, of which the diameter is BC, and centre E ; and draw CA, dividing the circle into...
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - 366 pągines
...semicircle is a right angle, but 1829 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. 4. If two triangles have the sides about equal angles reciprocally proportional, they are equal. 5....
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A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - 1836 - 172 pągines
...ART. 73. The angle in a segment greater than the semicircle is less than a right angle, ibid. ART. 74. The angle in a segment less than a semicircle is greater than a right angle,ibid. ART. 75. If a tangent and a chord of a circle be drawn from the same point, ths angle between...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 pągines
...in a simicircle is a right angle ; but the angle in a segment greater than a simicircle is less than a right angle; and the angle in a segment less than a simicircle is greater than a right angle. Cor. From this it is manifest, that if one angle of a triangle...
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