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" If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. "
The first six books of the Elements of Euclid, with numerous exercises - Seite 13
von Euclides - 1853 - 147 Seiten
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The parent's guide to a liberal ... education; containing a selection of ...

Robert Simson (master of Colebrooke house acad, Islington.) - 1838
...triangle being equal ? 9. What equations result from two right lines intersecting one another ? 10. If the side of a triangle be produced, the exterior angle is greater than either of the interior opposite ones. 1 1. Let A be the gate of a field, and BC a fence on the other side of the field, required the...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 Seiten
...at the point where they cut, are together equal to four right angles. PROP. XVI. THEOR. If one ride of a triangle be produced, the exterior angle is greater than either of the interior opposite anijlcs. Let ABC be a triangle, and let its side BC be produced to D, the exterior angle ACD shall...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...ther equal (13.1.) to two right angles ; ^\ and CEA, AED have been demonstrated D PROP. XVI. THEOR. IF one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be produced to D, the exterior angle ACD is greater than either...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 Seiten
...of straight lines meeting in one point, are together equal to four right angles. PROP. XVI. THEOR. If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles. Let ABC be a triangle, and let its side BC be produced to D, the exterior angle...
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Elements of Plane Geometry: For the Use of Schools

Nicholas Tillinghast - 1844 - 96 Seiten
...being both perpendicular to the same line, are parallel to each other (Prop. 10, Cor. 2). PROP. XII. THEOREM. , If one side of a triangle be produced, the exterior angle, so formed, will be equal to the sum of the two interior opposite angles. Let the side AB, Fiff' 14'...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...QED COR. 1. From this it is manifest, that, if two straight lines cut each other, the angles which they make at the point where they cut, are together...greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be produced to D. Then the exterior angle ACD shall be greater...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 Seiten
...of lines meeting in one point, are together equal to four right angles. PROPOSITION XVI. THEOR. — If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be produced to D, the exterior angle ACD is greater than either...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 Seiten
...AED and BEC might be inferred from the 13th proposition, and the third axiom. PROP. XVI. THEOR. — If one side of a triangle be produced, the exterior angle is greater than either of the interior remote angles. Let ABC be a triangle, and let its side BC be produced to D ; the exterior angle ACD...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...any number of lines meeting in one point, are together equal to four right angles. PROP. XVI. THEOR. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles, Let ABC be a triangle, and let its side BC be produced to D : the exterior angle ACD is greater than either...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...any number of lines meeting in one pt., are together equal to 4 rt. /_s. PROP. XV. THEOR. 16. lEu. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Let ABC be a ^\, and the side BC be prod, to D • then the ext. /_ ACD > L CBA or /! BAG, the int. oppo....
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