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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

Yale University Entrance Examinations in Mathematics: 1884 to 1898

Mathematics - 1898 - 208 pages
...DEPARTMENT (YALE COLLEGE) GEOMETRY JUNE 1886. (Four out of five questions are required.) 1. If a side,of any triangle be produced, the exterior angle is equal...every triangle are together equal to two right angles. 2. (Problem) To describe a square on a given straight line. (Show clearly in the figure the methods...

Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 340 pages
...is drawn through the given point A, parallel to the given straight line BC. PROPOSITION 32. THEOREM If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are equal to two riglit angles. Let ABC be a triangle, and let one of its sides BC be produced to D; then...

Science Examination Papers

...the triangles ADFand AEG are equal in area. (12.) 9. If the side of a triangle be produced, show that the exterior angle is equal to the two interior and opposite angles ; and that the three interior angles are equal to two right angles. Show that the exterior angles of any...

Sessional Papers, Volume 32, Issue 10

...sides also which 16 subtend, or are opposite to, the equal angles, shall be equal to one another. 2. The three interior angles of every triangle are together equal to two right 16 angles. 3. If a straight line be divided into two equal parts and also into two 16 unequal parts,...

Annual Report

...the road. Marks. 12 12 12 12 12 14 12 14 PLANE GEOMETRY. Time, 3 hours. , Marks. 1. If a side of a triangle be produced, the exterior angle is equal...every triangle are together equal to two right angles. 1 2. Prove that in a right angle triangle the square on the hypotenuse is equali 17 to the sum of the...

Report of the Department of Education for the Year ...

...CLASS. 1. If one side of a triangle be produced the exterior angle shall be equal to the two interior opposite angles, and the three interior angles of...every triangle are together equal to two right angles. 2. In any pentagon if a side at each of three corners be produced the sum of the three exterior angles...

A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Book 1

Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 304 pages
...three interior angles of a triangle are together equal to two right angles. B CD Let ABC be a triangle, and let one of its sides BC be produced to D. Then (i) the exterior angle ACD shall be equal to the sum of the two interior opposite angles CAB, ABC ;...

...at a given point, and the extremities of the other diagonal on a given straight line. 3. Prove that if a side of any triangle be produced, the exterior...equal to the two interior and opposite angles, and that the three interior angles of every triangle are together equal to two right angles. From a vertex...

The School World: A Monthly Magazine of Educational Work and Progress

Education - 1902
...shall be less than the other two sides of the triangle, but shall contain a greater angle. (4) If 'he side of any triangle be produced, the exterior angle...and opposite angles ; and the three interior angles are together equal to two right angles. (5) Show how to describe a parallelogram which shall be equal...

Manual

1903
...prove that the twostraight lines are parallel. 6. If a side of any triangle be produced, pi-ove that the exterior angle is equal to the two interior and opposite angles, and that the three interior angles of the triangle are equal to two light angles. 7. Draw any triangle...