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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. "
The calendar of the University college of Wales - Page lxxiv
by Wales univ, univ. coll. of Wales - 1878
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First book of mathematics

Hugo Reid - Mathematics - 1872 - 148 pages
...each, to like parts in the other. 130. Note 2. — It is an important truth in geometry that— The interior angles of every triangle are together equal to two right angles; — Whence, any two of them must be less than two right angles. If the two adjacent angles at the ends...
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The Principles of psychology, Volume 2

Herbert Spencer - 1873 - 678 pages
...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, and let one of its sides BC be produced to D ; then the exterior angle ACD...
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The Principles of Psychology, Volume 2

Herbert Spencer - Psychology - 1873 - 670 pages
...any triangle be produced, tho 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, and let one of its sides BC be produced to D ; then the exterior angle ACD...
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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...of a triangle be produced, the exterior angle is equal to the two interior and opposite angles; also the three interior angles of every triangle are together equal to two right angles. Jf & Let ABC be a A , and let one of its sides ISCbe produced to K. Then shall i ACK be equal to the...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...any triangle be produced, the exterior angle is equal to thutwo interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced toD. Then the exterior angle ACD shall...
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 pages
...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. Prove that the angle between the bisectors of two consecutive angles of a quadrilateral is half the...
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...of a triangle be produced, the exterior angle is eqiml to the two interior and remote angles ; and the three interior angles of every triangle are together equal to two right armies. Let ABC be a triangle, and let the side BC be produced to D; the exterior angle ACD is equal...
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The Teachers' assistant and pupil teachers' guide, Volume 1

1876 - 400 pages
...side. Construct the triangle when each side is equal to half the sum of the other two. SECTION III. 1 . The three interior angles of every triangle are together equal to two right angles. What ratio does the angle of a regular hexagon bear to a rig] it angle? 2. Triangles upon the same...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...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. Find the number of degrees in one of the exterior angles of a regular heptagon. 3. Triangles upon the...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 pages
...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. If the square described on one of the sides of a triangle be equal to the squares described on the...
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