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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.
The College Euclid: Comprising the First Six and the Parts of the Eleventh ... - Page 310
by Euclides - 1865

## Calendar

University of Cambridge - 1849 - 560 pages
...finite straight line an isosceles triangle, the sides of which shall be each equal to twice the base. 2. If a side of any triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles ; and the three interior angles of every triangle are together...

## Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...PROPOSITION XXVII. THEOREM. If one side of a triangle is produced, the exterior angle is equal to the sum of the two interior and opposite, angles; and the three interior angles of every triangle are equal to two right angles. produced to D; then will the exterior angle ACD be equal to the sum of the...

## The English Journal of Education, Volume 4

Education - 1850 - 488 pages
...equal to two right angles: the two straight lines shall be parallel to one another. 2. If one side of a triangle be produced, the exterior angle is equal...every triangle are together equal to two right angles. 3. If the square described upon one of the sides of a triangle be equal to the squares described upon...

## A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - Mathematics - 1851 - 196 pages
...finite straight line an isosceles triangle, the sides of which shall be each equal to twice the base. 2. If a side of any triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles ; and the three interior angles of every triangle are together...

## The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...distance AK, touch the arc in E. Join EA, and produce it to F.] E 3 THE ELEMENTS PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior...And the three interior angles of every triangle are equal to two riffht angles. Let ABC be a triangle, and let one of its sides BC be produced to D; (1.)...

## Five Years in an English University, Volume 2

Charles Astor Bristed - 1852 - 470 pages
...base equal to each other, and likewise those which are terminated in the other. 2. If the sides of a triangle be produced, the exterior angle is equal...and the three interior angles of every triangle are equal to two right angles. 3. Divide a given straight line into two such parts, that the rectangle...

## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...given point A, parallel to the given straight line BC. Which was to be done. PROP. XXXII. THEOREM. If a side of any triangle be produced, the exterior...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 geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...given point A parallel to the given straight line BC. Which was to be done. PROPOSITION XXXII. THEOR. If a side of any triangle be. produced, the exterior...the two interior and opposite angles ; and the three inferior angles of every triangle are equal to two rigJit angles. Let ABC be a triangle, and let one...