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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.
Elements of Geometry and Conic Sections - Page 30
by Elias Loomis - 1857 - 226 pages

Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...off equal parts from AB, AC. 2. 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 alternate sides of a polygon are produced to meet ; show that...

The Civil service manual for 1879 Government appointments and how to obtain them

Edwin T. Olver - 1879
...(OPTIONAL.)— Time allowed 1| hour. 1. 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. 2. In every triangle, the square of the side subtending either...

Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 474 pages
...QEF Proposition XXXII. Theorem. 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. Let ABC be a triangle. Let one of its sides BC be produced to D....

A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 36 pages
...difference of BD and CE. 32. 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. If the straight line bisecting the exterior angle be parallel to...

Elementary Geometry: Congruent Figures

Olaus Henrici - Congruences (Geometry) - 1879 - 220 pages
...two right angles, or =tr. § 138. At the same time it has been proved Theorem: In every triangle an exterior angle is equal to the sum of the two interior and opposite angles; or Every angle in a triangle is supplementary to the, sum of the other two. This shows also that in...

Field Engineering: A Hand-book of the Theory and Practice of Railway ...

William Henry Searles - 1880 - 503 pages
...bisects the base, It bisects the vertical angle. And is perpendicular to the base. 5 L, XXV., Cor. 6.. If one side of a triangle is produced, The exterior...to the sum of the two interior and opposite angles. 6 IV., XX I, XXVII If two triangles are mutually equiangular, They are similar. And their corresponding...

The Civil Service Manual for 1880-1881: Government Appointments and how to ...

1880 - 153 pages
...(OPTIONAL.)—Time allowed If hoar. 1. If a side of any triangle be produced, the exterior angle is eqiul to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Majorca Iceland Teneriffe Madeira Mauritius Java Ceylon Heligoland...

Military examinations. Mathematical examination papers, set for entrance to ...

...successive impacts. EUCLID. 1. If a side of a 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. A is the greatest angle of a triangle ABC ; show how to divide...