Books Books
If any side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles.
Elements of Plane and Spherical Trigonometry: With Practical Applications - Page 35
by Benjamin Greenleaf - 1862 - 490 pages

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

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...

## Practical Plane Geometry: Giving the Simplest Modes of Constructing Figures ...

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...

## Mathematical Papers for Admission Into the Royal Military College for the ...

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...

## Elementary Geometry

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...

## Report of the Council of Public Instruction of the North-West Territories of ...

...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....

## Famous Geometrical Theorems and Problems, with Their History, Part 1

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...

## Preparatory Schools for Boys: Their Place in English Secondary Education

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...

## Sessional Papers, Volume 22, Part 2

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...