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" ... be produced in the same direction ; then the sum of the exterior angles A, B, C, D, E, will be equal to four right angles. For each interior angle, together with its adjacent exterior angle, is equal to two right angles (Prop. "
Manual of Mineralogy, Including Observations on Mines, Rocks, Reduction of ... - Seite 49
von James Dwight Dana - 1869 - 454 Seiten
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A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - 1806 - 486 Seiten
...index, will give you the quantity of each respective angle. LEMMA. All, the angles of any polygon, are equal to twice as many right angles as there are sides less by four. Thus aU the angles A, B, C, D, E, F, G, are equal to twice as many right angles as there are...
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A Treatise of Practical Surveying, ...

Robert Gibson - 1808 - 482 Seiten
...index, will give you the quantity of each respective angle. LEMM A. All the angles of any polygon, arc equal to twice as many right angles as there are sides less by four. Thus, 'all the angles At B, C, D, .£, F, G, arc equal to twice as many right angles as there...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1811 - 580 Seiten
...index, will give you the quantity of each respective angle. LEMMA. Att the angles of any polygon, are equal to twice as many right angles as there are sides less by four. Thus, all the angles A, B, C, D, £, f, G, are equal to twice as many right angles as there...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1814 - 558 Seiten
...will give you the quantity of each respective angle. JLEMMA. • ЛИ the angles of any polygon, are equal to twice as many right angles as there are sides less by four. Thus, all the angles Л, B, C, D, E, F, G, are equal to twice as many right anglet as there...
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Manual of Mineralogy ...

J.D. Dana - 1855 - 440 Seiten
...and it should be repeated. 110° added to 60° makes 170°, showing in this case an error of 10°. 3. In any polygon, the sum of the angles is equal...twice 4, (or 8,) right angles, which is equivalent to 8 X 90° =720°. If we have a prism of six sides, and wish to ascertain the angles between these sides,...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 518 Seiten
...equal to two right angles (Prop. I.) ; hence the sum of all the angles, both interior and exterior, is equal to twice as many right angles as there are sides to the polygon. But the sum of the interior angles alone, less four right angles, is equal to the same...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 532 Seiten
...equal to two right angles (Prop. I.) ; hence the sum of all the angles, both interior and exterior, is equal to twice as many right angles as there are sides to the polygon. But the sum of the interior angles alone, less four right angles, is equal to the same...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1863 - 504 Seiten
...equal to two right angles (Prop. I.) ; hence the sum of all the angles, both interior and exterior, is equal to twice as many right angles as there are sides to the polygon. But the sum of the interior angles alone, less four right angles, is equal to the same...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1868 - 340 Seiten
...equal to two right angles (Prop. I.) ; hence the sum of all the angles, both interior and exterior, is equal to twice as many right angles as there are sides to the polygon. But the sum of the interior angles alone, less four right angles, is equal to the same...
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The Elements of Plane and Solid Geometry

Henry William Watson - 1871 - 320 Seiten
...triangles ABC, ACD, and so on. But the sum of all the angles of the polygon, together with four right angles, is equal to twice as many right angles as there are sides of the polygon. Also, the sum of all the angles at the bases of the triangles, together with the sum...
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