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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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Page 35
by Euclid, Isaac Todhunter - 1867 - 400 pages

## The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847 - 128 pages
...passes through D. Wherefore, of all triangles &c. — QED PROP. XXXII. THEOR. GEN. ENUN. — If a side of any triangle be produced, the exterior angle is...the two interior and opposite angles ; and the three inte. rior angles of every triangle are equal to two right angles. PART. ENUN. — Let ABC be a A,...

## A Complete Treatise on Practical Land-surveying: In All Its Departments ...

Anthony Nesbit - Plane trigonometry - 1847 - 426 pages
...produced to D ; the exterior angle ACD is equal A to the two interior and opposite angles CAB, ABC; also the three interior angles of every triangle are together equal to two right angles. (Euc. I. 32. Simp. I. B 9 & 10. Em. II. 1 & 2.) THEOREM V. Let the parallelograms ABCD, DBCE be upon...

## The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...straight line through a given point parallel to a given straight line. PROP. XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is...the two interior and opposite angles ; and the three ulterior angles of every triangle are together equal to two right angles. COR. 1. All the interior...

## The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...point A parallel to the given straight line BC. Which was to be done. PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle is...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...

## 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...

## Calendar

University of Cambridge - 1849 - 560 pages
...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 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
...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...