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" If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles. "
The geometry of the three first books of Euclid, by direct proof from ... - Seite 24
von Euclides - 1856
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 Seiten
...reference to the complete demonstration of the steps as given in Euclid. 89 PROPOSITION XVI. Theorem. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Steps of the Demonstration. I. Prove that (in...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 Seiten
...of straight lines meeting in one point, are together equal to four right angles. PROP. XVI. THEOR. If one side of a triangle be. produced, the exterior angle is greater than either of the interior, and opposite angles. Let ABC be a triangle, and let its side BC...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 Seiten
...number of lines meeting in one point, are together equal to four right angles. PROPOSITION XVI. THEOREM. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 Seiten
...opposite angle is mentioned, an angle non-aitjactnt to the former is always meant. PROP. XVI. THEOR. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 Seiten
...parallel to the given straight line BC. Which was to he done. . PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle is equal...the two interior and opposite angles; and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...ther equal (13.1.) to two right angles ; ^\ and CEA, AED have been demonstrated D PROP. XVI. THEOR. IF one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 Seiten
...of straight lines meeting in one point, are together equal to four right angles. PROP. XVI. THEOR. If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles. Let ABC be a triangle, and let its side BC...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 Seiten
...AED and BEC might be inferred from the 13th proposition, and the third axiom. PROP. XVI. THEOR. — If one side of a triangle be produced, the exterior angle is greater than either of the interior remote angles. Let ABC be a triangle, and let its side BC be produced...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 Seiten
...of lines meeting in one point, are together equal to four right angles. PROPOSITION XVI. THEOR. — If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 Seiten
...number of lines meeting in one point, are together equal to four right angles. PROPOSITION XVI. THEOREM. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be...
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