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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 Element of Geometry - Seite 13
von John Playfair - 1836 - 114 Seiten
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 Seiten
...introduction to the analytical method. Thus, take for example i. 32, in which we are required to prove that the exterior angle is equal to the two interior and opposite angles. First, draw the line CE, assuming that it divides the exterior angle into parts that are respectively...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 Seiten
...drawn through the given point A, parallel to thegieen straight I ineBC. Q..EF 02. THEOREM. If a fide of any triangle be produced, the exterior angle is...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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 Seiten
...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...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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Elementary Geometry, Band 1

James Maurice Wilson - 1868 - 132 Seiten
...Exercises on parallels . ...... ..17 SECTION III. PLANE TRIANGLES. THEOREM 8. If one side of a triangle is produced, the exterior angle is equal to the two interior...opposite angles, and the three interior angles of any triangle are together equal ' to two right angles ii 20 THEOREM 9. An isosceles triangle has the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 Seiten
...BC. (I. 27.) PROPOSITION XXXII. THEOREM. If a tide of any triangle be produced, the exterior angle it equal to -the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Let A BC be a triangle, and let one of its sides B Cbe produced...
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Minutes of the General Council of Medical Education & Registration ..., Band 6

General Medical Council (Great Britain) - 1869 - 402 Seiten
...answer. 5. What is the common modern classification of Duties ? HIGHER MATHEMATICS. 1. If a side of a triangle be produced, the exterior angle is equal...and the three interior angles of every triangle are together equal to two right angles. 2. In equal circles equal angles stand upon equal circumferences...
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Elementary geometry

James Maurice Wilson - 1869 - 260 Seiten
...SECTION III. TRIANGLES. THEOREM 7. If one side of a triangle is produced, the exterior angle will be equal to the two interior and opposite angles, and the three interior angles of any triangle will be together equal to two right angles . . . . . • .20 Four Corollaries. THEOREM...
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Examination for women. Examination papers, with lists of syndics and examiners

Cambridge univ, exam. papers - 1870 - 272 Seiten
...magistracy. ROMOLA. GROUP C. . FRIDAY, July 8, 1870. 11^ to 2. (ZBucltJj anto ©omc Sections. 1. IP a side of any triangle be produced, the exterior angle...and the three interior angles of every triangle are together equal to two right angles. The sides AS, AC of a triangle ABG are produced to E, F and the...
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Manual of navigation, Band 71

Robert Assheton Napier - 1880 - 132 Seiten
...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 exterior angle, therefore the other...
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Papers for teachers

1880 - 594 Seiten
...the straight line AE, therefore the two angles ACB, BCE are equal to two right angles (i. 13) ; but the three interior angles of every triangle are equal to two right angles (i. 32), therefore the three interior angles of the triangle DBC are equal to the three angles ACD,...
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