 | 1891
...G above. IF & II. M. GEOMETRY. Time, 1 hr. 80. min. Read tins Paper before commencing the work. 1. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 2. If a straight line, falling upon two other straight lines, make the exterior angle equal to the... | |
 | Arthur Schopenhauer - 1891 - 380 σελίδες
...Passing over the intermediate theorems, I take the 16th : " In every triangle in which one side has been produced, the exterior angle is greater than either of the interior opposite angles." Fig A. This Euclid demonstrates in the following manner (see fig. 4) :" Let abc be a triangle ; and... | |
 | Euclid, John Bascombe Lock - 1892 - 167 σελίδες
...about 20 degrees. SECTION VI. PROPERTIES OF TRIANGLES. Proposition 16. 94. When a side of a triangle is produced, the exterior angle is greater than either of the interior opposite angles. Let a side BC of the triangle ABC be produced to D ; it is required to prove that the angle ACD is greater... | |
 | Great Britain. Education Department. Department of Science and Art - 1894
...and to the nearest penny by how much. (10.) B. 7. If one side of a triangle be produced, show that the exterior angle is greater than either of the interior opposite angles. Hence show that any two angles of a triangle are together less than two right angles. (10-) 8. Define... | |
 | Seymour Eaton - 1899 - 340 σελίδες
...equal to half a right angle. 7. What is the converse of Proposition 15 ? Lesson No. 10 PROPOSITION 16. THEOREM If one side of a triangle be produced, the exterior angle shall be greater than either of the interior opposite angles. Let ABC be a triangle, and let one side... | |
 | Great Britain. Parliament. House of Commons - 1900
...one 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... | |
 | William Whitehead Rupert - 1900 - 107 σελίδες
...will 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... | |
 | Great Britain. Board of Education - 1900 - 531 σελίδες
...one 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... | |
 | Eldred John Brooksmith - 1901
...attached to accuracy. ] 1. Define plane rectilineal angle, circle, gnomon, similar rectilineal figures. 2. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 3. The straight lines which join the extremities of two equal and parallel straight lines towards the... | |
 | 1906
...of any triangle in marking out work, and the methods of are together equal to two right angles. 5. If one side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. RIGHT making angles of different degrees... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 
