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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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## Annual Report

Canada. Department of the Interior - 1888 - 756 Seiten
...Lake." Class 11.— Euclid. Time, 2 hours. J KEY. D. GIT.LIKS, BA } REV. AB BAIRD, MA, BD , 1. Show that if one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 2. Make a triangle of which the sides shall be...
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## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 354 Seiten
...but the method of proof must be geometrical. Great importance will be attached to accuracy.] 1 . If a side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles. Through the vertices of a triangle ABC straight lines, falling within the triangle, are drawn making...
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## Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - 1889 - 306 Seiten
...same straight line are parallel to one another. 18. If a side of any triangle B c be produced to D, the exterior angle is equal to the two interior and opposite angles, and the IS three interior angles of every triangle are together equal to two right angles. 19. The exterior...
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## Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - 1889 - 1006 Seiten
...above. IF ¿ II. M. GEOMETRY. Time, l hr. SO. min. fiend this Paper before commenci'iig the work. 1. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 2. If a straight line, falling upon two other...
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## Mathematical Papers for Admission Into the Royal Military College for the ...

Eldred John Brooksmith, Robert Moir Milne - 1890 - 144 Seiten
...but the method of proof must be geometrical. Great importance will be attached to accuracy^ 1. If a side of a triangle be produced, the exterior angle...the two interior and opposite angles : and the three interior angles of every triangle are together equal to two right angles. Prove the corollary with...
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## The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 Seiten
...have sides AE, DE parallel respectively to BC, AH (I. 27). PROPOSITION 32. THEOREM. 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 together equal to two right . angles. Let ABC be a A having one...
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## Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 102 Seiten
...draw a straight line through a given point parallel to a given straight line. 32. 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 together equal to two right angles. 33. The straight lines which...
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## Annual Report of the Chief Superintendent of Education

1891 - 720 Seiten
...G above. IF & II. M. GEOMETRY. Time, 1 hr. 80. min. Read tins Paper before commencing the work. 1. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 2. If a straight line, falling upon two other...
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## A Text-book of Geometrical Deductions: Book I [-II] Corresponding ..., Bücher 1

James Andrew Blaikie, William Thomson - 1891 - 154 Seiten
...to each other. 31. Through a given point, to draw a straight line parallel to a given straight line. 32. If one side of a triangle be produced, the exterior angle shall be equal to the sum of the two interior opposite angles, and the three interior angles are together...
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## Report of the Council of Public Instruction of the North-West Territories of ...

...owner should locate his house that it may be equally convenient to each road. 4. (a) Prove that if the side of a triangle be produced, the exterior angle is equal to the sum of the two interior opposite angles, and that the sum of the three interior angles is equal to...
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