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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 equal to two right angles. "
Elements of Geometry: With Practical Applications to Mensuration - Page 36
by Benjamin Greenleaf - 1868 - 320 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...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 exterior angle ACD is equal to the two interior and opposite angles CAB, ABC ; and the three...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...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 exterior angle ACD is equal to the two interior and opposite angles CAB, ABC ; and the three...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...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 exterior angle ACD is equal to the two interior and opposite angles CAB> ABC, and the three...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...interior and opposite angles ; and the three interior angles of everif triangle are equal to two right angles. 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 ; and the three...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...are equal to two right angles. 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 ; and the three interior angles of the triangle, viz. ABC, BCA, CAB, are together equal to two right...
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A Treatise on Practical Gauging

Anthony Nesbit, W. Little - Measurement - 1822 - 916 pages
...same side, are together equal to two right angles. (Eve. I. 29. Simp. I. 7- Em. I. 4 .) THEOREM IV. 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; also the three...
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A Treatise on Practical Mensuration in Eight Parts ...

Anthony Nesbit - Surveying - 1824 - 476 pages
...together equal to two right angles. CEuc, I. 29. Simp. I. 7- Em. I. 4.; A. C \ V-, H \ THEOREM IV. 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; also the three...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...opposite angle ABC \ but the angle ACE was shewn to be equal to the angle ВАС ; therefore the whole exterior angle ACD is equal to the two interior and opposite angles CAB, ABC ; to these equals add the angle ACB, and the angles ACD, ACB are equal to the three angles CBA, BAC,...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...any triangle being produced, the exterior angle is greater tnan either of the interior and opposite angles. Let ABC be a triangle, and let one of its sides вс be produced to D. The exterior angle ACD is greater than either of the interior and opposite angles;...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...any triangle being produced, the exterior angle is greater tnan either of file interior and opposite angles. Let ABC be a triangle, and let one of its sides вс be produced to D. The exterior angle ACD is greater than either of the interior and opposite angles...
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