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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. "
Elementary Mathematics: Embracing Arithmetic Geometry, and Algebra - Page 105
by Lewis Sergeant - 1873
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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...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. 18. The greater...
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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...greater than either of the interior opposite angles. [C.] 30. The three interior angles of every triangle are equal to two right angles. [C.] 31. To how...
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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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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...greater than either of the interior opposite angles 15 2. Triangles upon the same base, and between the same parallels, are equal to one another 15 3....
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The Edinburgh university calendar

Edinburgh univ - 1868 - 334 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 angle is 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...
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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...greater than either of the interior opposite angles. 4. The opposite sides and angles of a parallelogram are equal to one another, and the diagonal bisects...
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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 Edinburgh university calendar

Edinburgh univ - 1871 - 392 pages
...straight line. Show that your construction has given you exactly what your definition required. 2. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Modify your demonstration so as to bring out distinctly the property of straightness to which you appeal....
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...hereafter how this definition may be extended, so as to embrace angles greater than two right angles. If one side of -a triangle be produced, the exterior...greater than either of the interior opposite angles. I> Let the side BC of A ABC be produced to D. Then must L ACD be greater than either L CAB or L ABC....
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