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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 History of Philosophy: From the Earliest Times to the Beginning of the ... - Page 388
by Johann Jakob Brucker, William Enfield - 1819
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The popular educator, Volume 1; Volume 29

Popular educator - 1872 - 848 pages
...c B together moke up the angle DCS, which is therefore equal to the angles c BA, BA c. 7. The three interior angles of every triangle are together equal to two right angles. In Fig. 5 the angle BCD has been shown to be equal to the angles c BA, BA c ; to each of these equala...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...triangle le 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 A , and let one of its sides, BC, be produced to D. Then ititt I. / ACD = LB ABC, BAC...
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The Principles of Psychology, Volume 2

Herbert Spencer - Psychology - 1873 - 670 pages
...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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The Principles of psychology, Volume 2

Herbert Spencer - 1873 - 678 pages
...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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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...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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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 pages
...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. 4. Prove that the angle between the bisectors of two consecutive angles of a quadrilateral is half...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...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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Examination Christmas,1875

Education Department,London - 1876 - 1010 pages
...angled isosceles triangles have their bases equal, they will be equal in all respects. 3. The three interior angles of every triangle are together equal to two right angles. SECTION ะจ. 1. Triangles upon equal bases and between the tame parallels are equal to each other. If...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...triangle be produced, the exterior angle is1 equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. . The base angle of an isosceles triangle is one-fourth of the vertical angle, and from it a line is...
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The Teachers' assistant and pupil teachers' guide, Volume 1

1876 - 400 pages
...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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