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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. "
The Element of Geometry - Seite 13
von John Playfair - 1836 - 114 Seiten
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 Seiten
...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, Bände 5-6;Band 14

1867 - 878 Seiten
...connected with our present subject. Euclid has proved, in the 32nd Proposition of his First BccV. that the three interior angles of every triangle are equal to two right angles, that is, to 180°. Let the hear this fact in mind. Hence it follows that if the of any two angles of...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 Seiten
...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 philosophical and mathematical commentaries of Proclus ... on the first ...

Proclus (Diadochus.) - 1788 - 350 Seiten
...under fome general* klea, of which we pofleis a previous knowledge : thus, he who already knows that the three interior angles of) every triangle are equal to two right, and' is as yet ignorant that fome particular figure delineated on paper is- a triangle, isv no fooner...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 Seiten
...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 - 1804 - 530 Seiten
...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 - 1804 - 468 Seiten
...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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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1813 - 714 Seiten
...Prob. To draw a straight line 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 - 560 Seiten
...given point b v ^. v ^ A parallel to the given straight line BC. Which was to be done. • PROP. XXXII. THEOR. IF a side of any triangle be produced, the...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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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1819 - 800 Seiten
...Prob. To draw a straight line through a given tioint parallel to a given straight line. Prop. XXXII. Theor. If a side of any triangle be produced, the...angle is equal to the two interior and opposite angles : anil the three interior angles of every triaugie are equal to two riyht angles. Prop. XXXIII. Theor....
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