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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 Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Seite 28
von Robert Simson - 1806 - 518 Seiten
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 Seiten
...; and CEB, might with equal case and propriety be made the common angle. In like manner, in prorIF 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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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 254 Seiten
...triangle be produced, the exterior angle is greater than either of the interior and opposite angles. 7. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles. 8. If each of the sides of a triangle be produced, the...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 Seiten
...opposite angle is mentioned, an angle non-aitjactnt to the former is always meant. PROP. XVI. THEOR. If one side of a triangle be produced, the exterior...angles. Let ABC be a triangle, and let its side BC be prodaced to D : the exterior angle ACD shall be greater than either of the interior opposite angles...
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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 - 206 Seiten
...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 - 378 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: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 Seiten
...number of lines meeting in one point, are together equal to four right angles. PROPOSITION XVI. THEOREM. If one side of a triangle be produced, the exterior...a triangle, and let its side BC be produced to D. Then the exterior angle ACD shall be greater than either of the interior opposite angles CBA or BAC....
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 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 Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 Seiten
...any num-ber of lines meeting in one pt., are together equal to 4 rt. L s. PROP. XV. THEOR. 16.1 Eu. If one side of a triangle be produced, the ex-terior...either of the interior opposite angles. Let ABC be a </\ and the side BC be prod, to D; then the ext. L ACD > /. CBA or Z. BAG, the int. oppo. /_ s. F 3....
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 Seiten
...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...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. L sF C...
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