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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 together equal to two right angles.
Elements of Geometry and Conic Sections - Page 30
by Elias Loomis - 1857 - 226 pages

## The College Calendar for the Free Church of Scotland, 1882-82

Free Church of Scotland. College Committee - Theological seminaries - 1882 - 142 pages
...equal to two right angles. 2. 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 together equal to two right angles. 3. The complements of the parallelograms which are about the diameter...

## University local half-hour examination papers

...to trisect a right angle. 5. 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 together equal to two right angles. 6. The angles in the same segment of a circle are equal to one...

## The Principles of Psychology, Volume 2

Herbert Spencer - Psychology - 1882
...one in Proposition xxxii. " If the 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 together equal to two right angles. " Let ABC be a triangle, and let one of its sides BC be produced...

## The Cambridge Examiner, Volume 2

Education, Higher - 1882
...respect ? Prove your answer. 2. 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 together equal to two right angles. What is the angle of a regular octagon ? 3. If one angle of a triangle...

## The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883
...the other. Euclid, I., 24. 2. 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 together equal to two right angles. Euclid, I., 2. 3. Equal triangles upon the same base and upon the...

## Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 pages
...straight line. PROP. 32. THEOR. 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 together equal to two right angles. Given A ABC having ^ BC produced. To prove L ACD = LA Also, LA...

## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...QEF PROPOSITION 32. THEOREM. If a side of any triangle be produced, tJie exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides BG be produced...

## Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883
...corresponding angles equal, and the interior angles on the same side supplementary. THEOR. 25. If a side of a triangle is produced, the exterior angle is equal to the two interior opposite angles; and the three interior angles of a triangle are together equal to two...