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" If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. "
The first six books of the Elements of Euclid, with numerous exercises - Seite 13
von Euclides - 1853 - 147 Seiten
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 Seiten
...by any number of straight lines meeting in one point, are together equal to four right angles. XVI. If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles. XVII. Any two angles of a triangle are together less than two right angles. XVIII....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 471 Seiten
...straight lines meeting in one point, are together equal to four right angles. PROP. XVI. THEOR. //' 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 be produced to D, the exterior angle...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 Seiten
...at the point of their intersection, are together equal to four right angles. Con. 2. — And hence, all the angles made by any number of lines meeting...greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be produced to D, the exterior angle ACD is greater than either...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 Seiten
...word " similarly," it has reference to the complete demonstration of the steps as given in Euclid. 89 PROPOSITION XVI. Theorem. If one side of a triangle...greater than either of the interior opposite angles. Steps of the Demonstration. I. Prove that (in As EAB, ECF)jba*e ^ = base Fc, 'land ZBAC = Z ACF, 2...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 318 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 be produced to D, the exterior angle...
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 215 Seiten
...the word " therefore," and the sign V for the word " because." Express Nos. 4 and 5 in words. P. — If one side of a triangle be produced, the exterior angle is greater than either of the interior and opposite angles. M. — Write the demonstration of this truth on your P. '.' £s, acd + a cb= 2...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 390 Seiten
...; and CEB, might with equal case and propriety be made the common angle. In like manner, in prorIF 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 to D ; the exterior angle ACD...
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 215 Seiten
...triangle be produced, the exterior angle is greater than either of the interior and opposite angles. 7. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles. 8. If each of the sides of a triangle be produced, the...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...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...greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be prodaced to D : the exterior angle ACD shall be greater than...
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The Elements of Euclid

Euclid - 1838 - 416 Seiten
...number of lines meeting in one point, are together equal to four right angles. PROP. XVI. THEOR. Ir one side of a triangle be produced, the exterior angle...greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be produced to D, the exterior angle ACD is greater than either...
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