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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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## Entrance Examinations in Mathematics, 1884 to 1898 [with Supplements to 1900]

Yale University - 1898 - 212 Seiten
...(YALE COLLEGE) GEOMETRY JUNE 1886. (Four out of five questions are required.) 1. If a side oí 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. 2. (Problem) To describe...
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## Yale University Entrance Examinations in Mathematics: 1884 to 1898

1898 - 208 Seiten
...DEPARTMENT (YALE COLLEGE) GEOMETRY JUNE 1886. (Four out of five questions are required.) 1. 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. 2. (Problem) To describe...
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## Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 Seiten
...the given point A, parallel to the given straight line BC. 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 equal to two riglit angles. Let ABC be a triangle, and let one...
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## Science Examination Papers

...the triangles ADFand AEG are equal in area. (12.) 9. If the side of a triangle be produced, show that the exterior angle is equal to the two interior and opposite angles ; and that the three interior angles are equal to two right angles. Show that the exterior angles of any...
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## Annual Report

Canada. Department of the Interior - 1900 - 570 Seiten
...length of the road. Marks. 12 12 12 12 12 14 12 14 PLANE GEOMETRY. Time, 3 hours. , Marks. 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. 1 2. Prove that in a right...
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## Famous Geometrical Theorems and Problems, with Their History, Teil 1

William Whitehead Rupert - 1900 - 148 Seiten
...will be seen, however, that this demonstration implies a knowledge of a seventh proposition, — " If one side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles." Thales must have been familiar with this truth. 2. Below...
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## Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - 1900 - 531 Seiten
...one another. MARLBOROUGH COLLEGE SCHOLARSHIP EXAMINATION. — June, 1899. ELEMENTARY MATHEMATICS, I. If one side of a triangle be produced the exterior angle is equal to the sum of the interior opposite angles. II. Prove that the angles in the same segment of a circle are...
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## Sessional Papers, Band 22,Teil 2

Great Britain. Parliament. House of Commons - 1900 - 686 Seiten
...one another. MARLBOROUOH COLLEGE SCHOLARSHIPS EXAMINATION. — June, 1899. ELEMENTARY MATHEMATICS. I. If one side of a triangle be produced the exterior angle is equal to the sum of the interior opposite angles. ABC is an equilateral triangle : it each of its angles be trisected,...
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## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901 - 368 Seiten
...attached to accuracy. ] 1. Define plane rectilineal angle, circle, gnomon, similar rectilineal figures. 2. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 3. The straight lines which join the extremities...
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## Manual

1903
...prove that the twostraight lines are parallel. 6. If a side of any triangle be produced, pi-ove that the exterior angle is equal to the two interior and opposite angles, and that the three interior angles of the triangle are equal to two light angles. 7. Draw any triangle...
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