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IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Elements of geometry, containing the first two (third and fourth) books of ... - Page 52
by Euclides - 1871

## The Practical Teacher, Volume 3

Education - 1884
...four sides, AE, ED, DB, BA. — QED 2. If a side of any triangle be produced, the exterior angle i* equal to the two interior and opposite angles ; and...every triangle are together equal to two right angles. Prop. 32, Bk. I. 3. To describe a parallelogram that shall be equal to a given triangle, and have one...

## The Civil service year book and official calendar

1884
...triangle," " parallel straight lines." What is (1) a Postulate, (2) an Axiom ? 2. If any side of a triangle be produced, the exterior angle is equal...opposite angles; and the three interior angles of every triangle'are together equal to two right angles. 3. If a straight line be divided into two equal parts,...

## Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

...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...and opposite angles; and the three interior angles are equal to two right angles. If ABC be any triangle, and through D the middle point of AS, DE is...

## Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...point A parallel to the given straight line BC. XXXII. — If a side of any triangle be produced, tht exterior angle is equal to the two interior and opposite...and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the...

## The popular educator, Volume 5

Popular educator - 1884
...connected with our present subject. Euclid has proved, in the 32nd Proposition of his First Book, that tho three interior angles of every triangle are together equal to two right angles, that is, to 180°. Let the reader bear this fact in mind. Hence it follows that if the measure of any...

## An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884
...of a triangle be produced, the exterior angle is equal to the two opposite interior angles ; and the interior angles of every triangle are together equal to two right angles. Let ABC be a triangle, having one side BC produced to D. Then the exterior angle ACD shall be equal...

## University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885
...with the square on the line between the points of section, is equal to the square on half the line. 5. If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles. Enunciate the first corollary to this proposition. What number of sides must a rectilineal figure have...

## Annual Report of the Chief Superintendent of Education

1885
...greater than a second, the angle opposite the first must be greater than that opposite the second. 2. If a side of any triangle be produced the exterior...every triangle are together equal to two right angles. 3. If a parallelogram and a triangle be upon the same base and between the same parallels, the parallelogram...