Books Books 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. Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... - Page 105
by Euclides - 1858 ## Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...one another. 31. To draw a straight line through a given point parallel to a given straight line. 32. If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles. 33. The straight lines which join the extremities of two equal and parallel straight lines towards... ## The Principles of Psychology, Volume 2

Herbert Spencer - Psychology - 1892 - 776 pages
...therefore also the angles CBA, BAC, ACB, are together equal to two right angles. "Therefore if aside of any triangle be produced, the exterior angle is...and the three interior angles of every triangle are equal to two right angles. QED" Thus in each step by which the special conclusion IB reached, as well... ## Yale University Entrance Examinations in Mathematics: 1884 to 1898

Mathematics - 1898 - 228 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... ## Entrance Examinations in Mathematics, 1884 to 1898 [with Supplements to 1900]

Yale University - 1898 - 212 pages
...DEPARTMENT (YALE COLLEGE) GEOMETRY JUNE 1886. (Four out of five questions are required.) 1. If a side oí 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 - 362 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... ## Sessional Papers, Volume 32, Issue 10

Canada - 1899 - 1072 pages
...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,... ## 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... ## Annual Report

Canada. Department of the Interior - 1900 - 570 pages
...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 ...

Manitoba. Department of Education - Education - 1900 - 558 pages
...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... 