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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. "
Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ... - Page 74
by Charles Reiner - 1837 - 215 pages
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...made by any number of lines meeting in one point are together equal to four right angles. Prop. 16. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Prop. 1 7. Any two angles of a triangle are together less than two right angles. Prop....
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Half-hour examination papers, for daily use

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1865 - 106 pages
...straight lines, (iv.) a rhombus. [C.] 28. What is (i.) a postulate? and what (ii.) an axiom f [C.] 29. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. [C.] 30. The three interior angles of every triangle are equal to two right angles....
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 pages
...triangle is one-third of two right angles, or two thirds of one right angle. PROPOSITION XXXI. THEOR. If one side of a triangle be produced, the exterior angle is equal to the two interior opposite angles. Let BC, one of the sides of the triangle ABC, be produced...
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The Edinburgh university calendar

Edinburgh univ - 1868 - 336 pages
...of the first added to 7 of the second amount to £2, 13s. What coins are these ? 25^ March 1868. 1. If one side of a triangle be produced, the exterior...greater than either of the interior and opposite angles. other, each to each, but the angle contained by the two sides of the one greater than the angle contained...
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Annual Report

1868 - 876 pages
...7s. 6d. a yard. How many yards of each did he buy ? ......... 29 GEOMETRY. 3RD DIVISION. Valurt. 1. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles 15 2. Triangles upon the same base, and between the same parallels, are equal to one...
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Modern Methods in Elementary Geometry

E. M. Reynolds - Geometry - 1868 - 172 pages
...angles of another, the third angle of the first is equal to the third angle of the second. \ COR. 2. The exterior angle is greater than either of the interior and opposite angles. • • ' THEOREM XI. If in any triangle ABC the side AB be equal to the side AC, then shall the angle-...
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Minutes of the General Council of Medical Education & Registration ..., Volume 6

General Medical Council (Great Britain) - 1869 - 402 pages
...opposite to the equal angles, are equal to one another. 2. To bisect a given rectilineal angle. 3. If one side of a triangle be produced the exterior angle is greater than either of the interior opposite angles. 4. The opposite sides and angles of a parallelogram are equal to one another, and...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870 - 270 pages
...of the octagon, 135°, &c. ; but none of these numbers are measures of 360°. PUOP. 16. — THEOB. If one side of a triangle be produced, the exterior angle is greater tiian eitlier of the interior opposite angles. CONS. — P. 10. To bisect a given st. line. P. 3. From...
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An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Plane - 1870 - 304 pages
...equal to the two given sides. Through the extremities draw lines parallel to the sides of the angle. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three angles of a triangle are together equal...
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The National Schoolmaster, Volumes 7-8

Schools - 1877 - 604 pages
...rhombus, each of whose sides is equal to that line, by the method employed in the first proposition. z. If one side of a triangle be produced, the exterior...greater than either of the interior and opposite angles. Prove this for both the interior angles. Composition. Write notes of a lesson on Barley. END OF FOURTH...
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