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" 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 ; and the angle in a segment less than a semicircle is greater than a right angle. "
Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... - Pągina 88
per John Keill - 1733 - 397 pągines
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1723 - 364 pągines
...fhall be equal to the Circumference B D. Therefore a given Circumference is cut into two equal Parts ; which was to be done. PROPROPOSITION. XXXI, THEOREM....Circle, the Angle that is in a Semicircle, is a Right jingle ; but the Angle in a greater Segment, is left ' than a Right Angle ; and the Angle in a leffer...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - 1782 - 399 pągines
...Therefore, a given Circumference is cut into two ejttal Parts ; which was to be done. PRO. PROPOSITION XXXI. THEOREM. In a Circle, the Angle that is in a...Segment is lefs than a Right Angle ; and the Angle in a le/er Segment, greater than a Right Angle : Moreover, the Ang'e cf a greater Segment is greater than...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 pągines
...circumference is bisected in D. Which was to be clone. C PROP. XXXI. THEOR. 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 ; and the angle in a segment less than...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813
...circumference, that is, to divide it into two equal parts. Prop. XXXI. Theor. 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; and the angle in a segment less than...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pągines
...given circumference is bisected in D. Which was to be done. PROP. XXXI. THEOR. 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 ; and the angle in a segment less than...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 pągines
...the given arch ADB is bisected in D. Which was to be done. PROP. XXXI. THEOR. hi 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 ; and the angle in a segment less than...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 pągines
...circumference is bisected in D. Which was to be done. 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 right angle ; and the angle in a segment less than...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 pągines
...given circumference is bisected in D. Which was to be done. PROP. XXXI. THEOR. 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 ; and the angle in a segment less than...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 pągines
...is bisected in D. Which was to be done. Book III. PROP. XXXI. THEOR. ^ /— ' 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 ; and the angle in a segment less than...
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The Element of Geometry

John Playfair - 1836 - 114 pągines
...given circumference is bisected in D. Which was to be done. PROP. XXII. THEOR. In a circle, the angles 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...
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