 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...perpendicular to a given straight line of unlimited length, from a given point without it. 2. 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 are equal to two right angles. If... | |
 | John Fry Heather - Geometry, Modern - 1890 - 252 pages
...and 6). Hence every equilateral triangle is also equiangular, and vice versa. 62. THEOE. 5. If oue 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 equal to two... | |
 | Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...but the method of proof must be geometrical. Great importance will be attached to accuracy^ 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... | |
 | William Chauvenet - 1893 - 340 pages
...angles of any triangle is equal to two right angles. Corollary. If one side of a triangle is extended, the exterior angle is equal to the sum of the two interior opposite angles. PROPOSITION XXVII. The sum of all the angles of any convex polygon is equal to twice... | |
 | Northwest Territories Council of Public Instruction - 1897 - 628 pages
...owner should locate his house that it may be equally convenient to each road. 4. (a) Prove that if the side of a triangle be produced, the exterior angle is equal to the sum of the two interior opposite angles, and that the sum of the three interior angles is equal to two right angles. I. 32.... | |
 | William Whitehead Rupert - Geometry - 1900 - 148 pages
...be seen, however, that this demonstration implies a knowledge of a seventh proposition, — " If one side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles." Thales must have been familiar with this truth. 2. Below we give a brief and beautiful... | |
 | Great Britain. Board of Education - Boys - 1900 - 566 pages
...another. MARLBOROUGH COLLEGE SCHOLARSHIP EXAMINATION. — June, 1899. ELEMENTARY MATHEMATICS, I. If one side of a triangle be produced the exterior angle is equal to the sum of the interior opposite angles. II. Prove that the angles in the same segment of a circle are equal to one... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1900 - 686 pages
...another. MARLBOROUOH COLLEGE SCHOLARSHIPS EXAMINATION. — June, 1899. ELEMENTARY MATHEMATICS. I. If one side of a triangle be produced the exterior angle is equal to the sum of the interior opposite angles. ABC is an equilateral triangle : it each of its angles be trisected, show... | |
 | Canada. Department of the Interior - 1900 - 564 pages
...length of the road. Marks. 12 12 12 12 12 14 12 14 PLANE GEOMETRY. Time, 3 hours. , Marks. 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... | |
 | William Kent - Engineering - 1907 - 1206 pages
...base, it bisects the vertical angle and is perpendicular to the base. If one side of a triangle is produced, the exterior angle is equal to the sum of the two interior and opposite angles. If two triangles are mutually equiangular, they are similar and their corresponding... | |
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If any side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. 
