| E. J. Brooksmith - Mathematics - 1889 - 354 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, Plane - 1890 - 172 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... | |
| Eldred John Brooksmith, Robert Moir Milne - 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
...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 - 531 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 - 570 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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