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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. "
The student's guide to the University of Durham, with information respecting ... - Page 90
1880 - 190 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...parallel to the given ftraight line BC. Book I. Which was to be done. PROP. XXXII. THEO R. TF a fide of any triangle be produced, the exterior angle is equal to the two interior and oppofite angles ; and the three interior angles of every triangle are ec(ual to two right angles. Let...
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The Popular Educator, Volumes 1-2; Volume 12

Geography - 1867 - 964 pages
...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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A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ...

Thomas Malton - 1774 - 484 pages
...Triangle be produced, the external Angle is equal to the two remote Angles of the Triangle. And, the three Angles of every Triangle are, together, equal to two Right Angles. v „ ~ In the Triangle ABC, let any Side, as AC, be produced. Then, the Ang. BCD is equal to the two...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...to the given Book I. ftraight line BC. Which was to be done. b 29. 1. PROP. XXXII. THEOR. TF a fide of any triangle be produced, the exterior angle is equal to the two interior and oppofite angles ; and the three interior angles of every triangle are equal to two right angles. Let...
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The History of Philosophy, from the Earliest Times to the ..., Volume 1

William Enfield, Johann Jakob Brucker - Early works to 1800 - 1791 - 610 pages
...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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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...point A parallel to the given flraight line BC. Which was to be done. PROP. XX.XIL THEOR. IF a fide of any triangle be produced, the exterior angle is equal to the two interior and oppoiite angles ; and the three interior angles of every triangle are equal to two right angles. Let...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...parallel to the given ftraight line Book 1. BC. Which was to be done. ^ -y PROP. XXXII. THE OR. IF a fide of any triangle be produced, the exterior angle is equal to the two interior and oppofite angles ; and the three interior angles of every triangle are equal to two right angles. Let...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...parallel to the Book *• given ftraight line BC. Which Was to be done. PROP. XXXII. THE OR. IF a fide of any triangle be produced, the exterior angle is equal to the two interior and oppofite angles ; and the three interior angles of every triangle are equal to two right angles. Let...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...parallel to the given Book I. straight line BC. Which was to be done. i»» —i PROP. XXXII. THEOR. IF a side of any triangle be produced, the exterior...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 - Mathematics - 1806 - 320 pages
...point A parallel to the Book I. given straight line BC. Which was to be done. " PROP. XXXII. THEOR; IF a side of any triangle be produced, the exterior...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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