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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. "
A Complete Treatise on Practical Land-surveying: In All Its Departments ... - Side 18
av Anthony Nesbit - 1847 - 426 sider
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The Popular Educator, Volumer 1-2;Volum 12

1867 - 964 sider
...в together make up the angle r> с в, which is therefore equal to the angles с в А, в A c. 7. The three interior angles of every triangle are together equal to two right anglet. In Fig. 5 the angle BCD has been shown to be equal to the angles с в А, в А с ; to each...
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The History of Philosophy, from the Earliest Times to the Beginning ..., Volum 1

William Enfield, Johann Jakob Brucker - 1791 - 610 sider
...four. Of the geometrical theorems afcribed to Pythagoras, the following are the principal; that the interior angles of every triangle are together equal to two right angles; that the only polygons which will fill up the whole fpace about a given point, are the equilateral...
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General Biography: Or, Lives, Critical and Historical, of the Most ..., Volum 8

John Aikin - 1813 - 720 sider
...four. Of the geometrical theorems ascribed to Pythagoras, the following are the principal : that the interior angles of every triangle are together equal to two right angles ; that the only polygons which will fill up the whole space about a given point, are the equilateral...
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The History of Philosophy: From the Earliest Times to the Beginning ..., Volum 1

Johann Jakob Brucker, William Enfield - 1819 - 540 sider
...1. xiv. c, 33. "Boeth. deMus. 1. iv. c. 14. Pythagorjis, the following are the principal : that the interior angles of every triangle are together equal to two right angles ; that the only polygons Which will fill up the whole space about a given point, are the equilateral...
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A Treatise on Practical Gauging

Anthony Nesbit, W. Little - 1822 - 916 sider
...Let ABC be a triangle, and let one of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC;...every triangle are together equal to two right angles. (Em. I. 32. Simp. I. 9, 10. Em. IL I, 2 J A C THEOREM V. Let the parallelograms ABCD, DBCEbe upon the...
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A Treatise on Practical Mensuration in Eight Parts ...

Anthony Nesbit - 1824 - 476 sider
...Let ABC be a triangle, and let one of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC;...interior angles of every triangle are together equal ta two right angles. (Euc. 1. 32. Simp. I. 9 # 10. Em. II. 1 $ %.} B CD THEOREM V. Let the parallelograms...
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An Exposition of the Mysteries; Or, Religious Dogmas and Customs of the ...

John Fellows - 1835 - 432 sider
...four. Of the geometrical theorems ascribed to Pythagoras, the following are the principal: that the interior angles of every triangle are together equal to two right angles; that the only polygons which fill up the whole space about a given point, are the equilateral triangle,...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 sider
...of any triangle be produced, the exterior angle is equal to the two interior and remote angles ; and the three interior angles of every triangle are together equal to two right angles. Let the side BC of the triangle ABC be produced to D : the exterior angle A CD is equal to the two...
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 246 sider
...SUBSTANCE OF SECTION III. 1. Any two angles of a triangle are together less than two right angles. 2. The interior angles of every triangle are together equal to two right angles. 3. A right-angled triangle is that which has a right angle. 5. An acute-angled triangle is that which...
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Proceedings

Scotland free church, gen. assembly - 1847 - 554 sider
...FIRST CLASS-GEOMETRY. 1. The greater side of every triangle has the greater angle opposite to it. 2. The three interior angles of every triangle are together equal to two right angles. 3. Parallelograms upon equal bases, and between the same parallels, are equal. 4. If a straight line...
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