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" If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. "
The first six books of the Elements of Euclid, with numerous exercises - Σελίδα 13
των Euclides - 1853 - 147 σελίδες
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 σελίδες
...CEB respectively equal to their opposite Ls BED, DEA, they form two st. lines AB, CD. PROPOSITION 16. THEOREM. If one side of a triangle be produced, the exterior angle shall be greater than either of the interior and opposite angles. Let the side BC of the A ABC be produced...

Annual Report of the Chief Superintendent of Education

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...

On the Fourfold Root of the Principle of Sufficient Reason: And On the Will ...

Arthur Schopenhauer - 1891 - 428 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...

The First Book of Euclid's Elements: Arranged for Beginners

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...

Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894 - 892 σελίδες
...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...

Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 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...

Sessional Papers, Τόμος 22,Μέρος 2

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...

Famous Geometrical Theorems and Problems, with Their History, Μέρος 1

William Whitehead Rupert - 1900 - 148 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...

Preparatory Schools for Boys: Their Place in English Secondary Education

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...

Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901 - 368 σελίδες
...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...




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