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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. "
Elements of Geometry and Conic Sections - Page 30
by Elias Loomis - 1857 - 226 pages
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873
...straight line BC. XXXII. — If a side of any triangle lie produced, tht exterior angle is equal to the two interior and opposite angles; and the three interior angles of evary triangle are equal to two right cmgles. Let ABC be a triangle, and let one of its sides BC be...
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New Elementary Geometry: With Practical Applications : a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1874 - 206 pages
...cannot have more than one angle as great as a right angle. 72. Cor. 4. If any side of a triangl^ be produced, the exterior angle is equal to the sum of the two interior and opposite angles. THEOREM XX. Let ABCDE be any polygon ; then the sum of all its interior angles, A, B, C, D, E, is equal...
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Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...£225 per annum ? EUCLID. 1. 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. Prove that the angle between the bisectors of two consecutive angles...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...PROPOSITION 32.— Theorem. If a side of any triangle be produced, the exterior angle is equal to thutwo interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced...
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The Examination papers set for the preliminary examination of candidates for ...

Royal College of Surgeons of England - 1874 - 13 pages
...lines shall be parallel. 6. If one side of a triangle be produced, the exterior angle shall be equal to the two interior and opposite angles ; and the three interior angles of any triangle are together equal to two right angles. 7. If a straight line be divided into two equal,...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876
...twenty-seventh proposition Of Book I. 3. 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. 1. Find the value of t( , a (tf±-6) ~ <-a* b*) When a = 2, 6 =...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...than the base of the other. 3. 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. 4. Triangles on equal bases and between the same parallels are...
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Examination Christmas,1875

Education Department,London - 1876
...what limitation it is true. 1. If a side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of any triangle are equal to two right angles. 2. Equal triangles on the same base and on the same aide...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1877 - 458 pages
...direction, while the other two lie in opposite directions, as ABC, DEH. PROPOSITION XXVII. THEOREM. If one side of a triangle is produced, the exterior...angle is equal to the sum of the two interior and remote angles ; and the sum of the three interior angles of every triangle is equal to two right anLet...
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Elements of Plane Geometry, Part 1

Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...lines DE and BC are parallel (Prop. XXV.). PROPOSITION XXX.—THEOREM. If one side of a triangle be produced, the exterior angle is equal to the sum of...the two interior and opposite angles, and the three angles of the triangle are together equal to two right angles. Let ABC be a triangle, and let one of...
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