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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 ... - Página 24
por Euclides - 1856
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An Introduction to Plane and Spherical Trigonometry

Alfred Challice Johnson - 1865 - 150 páginas
...lines, it makes the alternate angles equal to one another. (Eue. I., 29.) 6. If a side of a triangle he produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles are equal to two right angles, or 180°. (Eue. L, 32.)* 7. The square upon the hypolheneuse...
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Half-hour examination papers, for daily use

John Robertson (LL.D., of Upton Park sch.) - 1865 - 144 páginas
...straight lines, (iv.) a rhombus. [C.] 28. What is (i.) a postulate? and what (ii.) an axiom f [C.] 29. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. [C.] 30. The three interior angles of every triangle...
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865
...angles; therefore AE is equal EB, and the straight line AB is bisected in E. PROPOSITION XVI. THEOR. 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, and let its side BC be...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...made by any number of lines meeting in one point are together equal to four right angles. Prop. 16. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Prop. 1 7. Any two angles of a triangle are together...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 páginas
...the given straight line BC. QEF PROPOSITION 32. THEOREM. If a side of any triangle &« produced, tlie 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. Let ABC be a triangle, and...
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The Oxford examiner, ed. by M.W.I. Shilleto, Temas1-5

Mary W I. Shilleto - 1882
...for this proposition, if BG, CF meet in H, show that AH bisects the angle BAG. 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 equal to two right angles. Enunciate and prove the corollaries...
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The Principles of Psychology, Volumen2

Herbert Spencer - 1882
...theorem is inconveniently long. Wo shall find a fitter one in Proposition xxxii. " If the 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 triangle,...
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The Practical Teacher, Volumen1,Tema 1

1882
...the particular enunciation (only) of the twenty-seventh proposition of Book I. 3. 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. Algebra. ¿=4, f =6. 2. Multiply...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1882 - 266 páginas
...the alternate angles EAD, ADC are equal, EF is parallel (I. 25) to BC. Proposition 30. Theorcm. — If one side of a triangle be produced, the exterior angle is equal to the two opposite interior angles; and the three interior angles of any triangle are equal to two right angles....
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The Competitor, Volúmenes3-4

1883
...between the 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...
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