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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

...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

...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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