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" If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles. "
Elements of Plane Geometry - Page 45
by Thomas Hunter - 1878 - 132 pages
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An Elementary Treatise on Geometry: Simplified for Beginners Not ..., Part 1

Francis Joseph Grund - Geometry, Plane - 1834 - 204 pages
...angles in any triangle, is equal to two right angles. 16. If one of the sides of a triangle is extended, the exterior angle is equal to the sum of the two interior opposite angles. 17. The exterior angle is greater than either of the interior opposite ones. 18. If...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...(Л) A triangle cannot have more than one right angle, or more than one obtuse angle . . cor. 7 (¿) If one side of a triangle be produced, the exterior angle is greater than either of the interior and opposite wgles . , . cor, 7 (i) If one side of a Wangle be...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...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...
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - Geometry - 1837 - 254 pages
...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 three exterior...
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - Geometry - 1837 - 246 pages
...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...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 pages
...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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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - Euclid's Elements - 1837 - 112 pages
...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 Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...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 pages
...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...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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