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" If any side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. "
Elements of Plane and Spherical Trigonometry: With Practical Applications - Page 35
by Benjamin Greenleaf - 1862 - 490 pages
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...Playfair propose to substitute for Euclid's 1 2th axiom in proving this proposition? Section II. 1. If a side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and thi three interior angles of any triangle are equal to two righ,...
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Elementary Geometry: Congruent Figures

Olaus Henrici - Congruences (Geometry) - 1879 - 220 pages
...two right angles, or =tr. 138. At the same time it has been proved Theorem: In every triangle an exterior angle is equal to the sum of the two interior and opposite angles; or Every angle in a triangle is supplementary to the, sum of the other two. This shows...
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(Report).

Elizabethan club - 1880
...given point without it. Show how to do this practically with a ruler and a pair of compasses. 3. If a side of a triangle be produced the exterior angle is equal to the sum of the two interior angles, and the three interior angles of every triangle are together equal to two right angles. Enunciate...
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Field Engineering: A Hand-book of the Theory and Practice of Railway ...

William Henry Searles - 1880 - 503 pages
...vertical angle. And is perpendicular to the base. 5 L, XXV., Cor. 6.. If one side of a triangle is produced, The exterior angle is equal to the sum of the two interior and opposite angles. 6 IV., XX I, XXVII If two triangles are mutually equiangular, They are similar. And...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 pages
...THEOREM (Euclid I. 32, First Part). Repeat. — The enunciations of Euc. I. 29. General Enunciation. If a side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles. (Compare this with Euc. I. 16, page 56, which proves that the exterior...
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Manual of navigation, Volume 71

Robert Assheton Napier - Navigation - 1880 - 112 pages
...ship's course. Time, 9 pm .-. elapsed time = 30 minutes = 6 miles = distance from light. Proof—If a side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles; but one interior and opposite angle is already equal to half the...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880
...to each other, the sides also which subtend the equal angles shall be equal to one another. 3. 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 every triangle are together equal...
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The Competitor, Volumes 3-4

1883
...angles which the line drawn across makes with the two parallel straight lines. 4. Prove that, if one side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles, and that the three angles of every triangle are together equal to two right angles....
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The Cambridge Examiner, Volume 2

Education, Higher - 1882
...line, any point in this perpendicular is at equal distances from the extremities of the line. 7. 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 every triangle are together equal...
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Annual Report

1886
...2x*—5x = 12, to find x. EUCLID. FIRST DIVISION. 1. Define a right angle, a circle, a square. 2. If one 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 together equal...
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