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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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Papers for the schoolmaster, Band 3

1867
...this problem. S. Bisect a given finite straight line. What is to bisect ? Need the line be Suite P 4. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Is this Theorem or Problem P Why ? 5. titraiyht lines, which are parallel to the same straight line,...
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The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...any number of lines meeting in one point, are together equal to four right angles. PEOP. 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 Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852
...be proved that the angles DBA and i» EC are equal. Which was to be demonstrated. PROP. XVI. THEOB. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Let the side AB of the triangle A в c be produced to D ; the exterior angle CBD is greater than either...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...number 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 synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...number of lines meeting in one point are together equal to four right angles. PROP. XVI. THEOREM. Jf one side of a triangle be produced, the exterior angle...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 ACL is greater than either...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1853 - 317 Seiten
...of straight linesmeeting 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 thai, either of the interior, and opposite angles. Let ABC be a triangle, and let its side BC be produced...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...and the vertical angles be bisected, the bisecting lines are ¡none and the same straight line. PROP. XVI. THEOREM. If one side of a triangle be produced,...its side B С be produced to D. The exterior angle A СD is greater than either of the interior opposite angles С BA, ВAС. Bisect (I. 10) A С in E,...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...given point there can be drawn to a straight Hoe only two straight lines equal to one another. 10. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 12. If a straight line be divided into two equal and also into two unequal parts; the squares of the...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...of the base equal to one another, and likewise those which are terminated in the other extremity. 3. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 4. If from the ends of the side of a triangle, there be drawn two straight lines to a point within...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...ACE, DBC are together equal to the two FBC, DBC, that is. to two right angles. XIV.— EUCLID I. 32. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three angles of every triangle are together...
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