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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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## Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...point A parallel to the given straight line BC. XXXII. — If a side of any triangle be produced, tht exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one...
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## Relfe brothers' Euclid sheets, propositions 1-26, book 1

Euclides - 1884
...SHEETS. PROPOSITIONS 1—26, BOOK I, ARE NOW PUBLISHED IN A SIMILAR FORM TO THIS. PEOPOSITION XVI. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let be a triangle, and let the side be produced...
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## An introduction to geometry, consisting of Euclid's Elements, book i ..., Band 1

Euclides - 1884 - 182 Seiten
...the same figure, prove that the angle F is less than the angle ABC. 52. PROPOSITION XVI. — THEOREM. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle whose side BC is produced...
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## The Civil service year book and official calendar

1884
...direct and an indirect demonstration. Define adjacent angles, opposite angles, and alternate angles. Z. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Prove, without producing a side, that the three...
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## The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...less. Postulate 1. A straight line may be drawn from any one point to any other point. Proposition XVI. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Proposition V. The angles at the base of an isosceles...
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## Cambridge University Examination Papers

University of Cambridge - 1884
...patronum dixit ad infernas liber iturus aquas. MARTIAL, i. 101. FRIDAY, March 14, 1884. 9—12. 1. IF one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 2. Write a short essay on Euclid's twelfth axiom,...
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## Questions and exercises in elementary mathematics

Palaestra Oxoniensis - 1884
...24. What is the least number of sides which a rectilineal figure can have ? Prove your answer. 26. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. By what later proposition in the first book is...
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## Annual Report of the Chief Superintendent of Education

1885
...second, the angle opposite the first must be greater than that opposite the second. 2. 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. 3. If a parallelogram and...
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## University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885
...When are straight lines in a circle said to be equally distant from the centre ? 2. 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. Enunciate and prove the corollaries...
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## Euclid and His Modern Rivals

Lewis Carroll - 1885 - 318 Seiten
...another ; nor can one approach and then recede from another while on the same side of it. 18. (a) If a side of a Triangle be produced, the exterior angle is equal to each of the interior opposite angles. [I. 32.] (b) The angles of a Triangle are together equal to two...
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