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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 Teaching of Geometry - Page 184
by David Eugene Smith - 1911 - 339 pages
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The Elements of Euclid: The errors, by which Theon, or others, have long ago ...

Robert Simson, Euclid - Trigonometry - 1762 - 466 pages
...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 First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pages
...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 elements of Euclid: viz. the first six books, with the eleventh and ...

Trigonometry - 1799 - 351 pages
...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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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1804 - 440 pages
...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: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...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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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...I. 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...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...
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Elements of geometry: containing the first six books of Euclid, with a ...

John Playfair - Trigonometry - 1806 - 311 pages
...Book 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...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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ...

John Mason Good, Olinthus Gilbert Gregory - 1813
...thruu0h a given point parallel to a given straight line. Prop. XXXII. Theor- If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite ansies: and the three interior angles of every triangle are equal to tiro right angles. Prop. XXXIII....
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...the 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 interior and opposite angles ; and the three inferior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - Geometry - 1816 - 528 pages
...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...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...
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