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 ## First lessons in Plane Geometry. Together with an application of them to the ...

Francis Joseph Grund - Geometry, Plane - 1830 - 274 pages
...angles in a triangle is equal to two right angles. 16. If one of the sides of a triangle is extended, the exterior angle is equal to the sum of the two interior opposite angles. 17. The exterior angle is greater than any one of the interior opposite angles. 18.... ## Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - Euclid's Elements - 1833 - 150 pages
...demonstrated by Euclid till Book XI. PROPOSITION XXXI. THEOREM. — If a side of any triangle be prolonged, the exterior angle is equal to the sum of the two interior and opposite angles. Let ABC be a triangle, and let one of its sides, as BC, be produced to D. The exterior... ## An Elementary Treatise on Geometry: Simplified for Beginners Not ..., Part 1

Francis Joseph Grund - Geometry, Plane - 1834 - 206 pages
...angles in any triangle, is equal to two right angles. 16. If one of the sides of a triangle is extended, the exterior angle is equal to the sum of the two interior opposite angles. 17. The exterior angle is greater than either of the interior opposite ones. 18. If... ## Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - Geometry - 1837 - 254 pages
...produced, the exterior angle is greater than either of the interior and opposite angles. 7. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles. 8. If each of the sides of a triangle be produced, the three exterior... ## The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...is drawn through the given point A parallel to the given straight line BC. Qur PROP. XXXII. THEOR. If any 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 equal to two... ## The London University Calendar

London univ - 1846 - 326 pages
...HEAVISIDE. 2. Prove that any two sides of a triangle are together greater than a third side. 3. If a side of a triangle be produced, the exterior angle is equal to the two interior opposite angles, and the three interior angles of every triangle are equal to two right... ## Calendar

University of Cambridge - 1849 - 560 pages
...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 equal to two right angles.... ## Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...angle BAC; but the two angles are not equal. 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... ## The English Journal of Education, Volume 4

Education - 1850 - 484 pages
...together 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 to the two interior and opposite angles; and the three interior angles of every triangle are together equal... 