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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. "
Transactions - Pagina 126
di Institution of Civil Engineers of Ireland - 1906
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The Popular Educator, Volumi 1-2;Volume 12

1867 - 964 pagine
...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 ..., Volume 1

William Enfield, Johann Jakob Brucker - 1791 - 610 pagine
...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 pagine
...I. given straight line BC. Which was to be done. " PROP. XXXII. THEOR; IF a side of any triangle be produced, the exterior /' angle is equal to the two...and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 pagine
...straight line BC. Which was to be done. i»» —i PROP. XXXII. THEOR. IF a side of any triangle be produced, the exterior angle is equal to the two interior...and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the...
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General Biography: Or, Lives, Critical and Historical, of the Most ..., Volume 8

John Aikin - 1813 - 720 pagine
...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 Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pagine
...given straight line BC. Which was to * 27' 1. be done. PROP. XXXII. THEOR. IF a side of any triangle be produced, the exterior angle is equal to the two interior...and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D; the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 pagine
...done. PROP. xxxn. THEOR.. If a side of any triangle be produced, the exterior ang.Le is equal tojhe 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 of its sides BC be produced to D ; the...
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The History of Philosophy: From the Earliest Times to the ..., Volume 1

Johann Jakob Brucker, William Enfield - 1819 - 540 pagine
...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 pagine
...produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC; also the three interior angles of 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 Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 pagine
...done. Proposition XXXII. Theorem. If a side of any triangle be produced, the exterior angle is eqnA to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. D; the exterior angle ACD is equal to the two interior аь. opposite angle:...
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