 | Great Britain. Education Department. Department of Science and Art - 1894 - 894 pages
...that the angle ADB is greater than a right angle. (10.) 10. Show that equal triangles on the same Imse and on the same side of it are between the same parallels. If a quadrilateral is bisected by oJie of its diagonals, show that that diagonal bisects the other... | |
 | Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...straight lines shall be in one and the same straight line. 17 ">. Iv|ual triangle* on tlic same l«i».e, and on the same side of it, are between the same parallels. 20 6. If the square described on one side of a triangle bu equal to the stun of the w|uarc-* described... | |
 | Seymour Eaton - 1899 - 362 pages
...equal. Therefore the triangle ABC is equal to the triangle DEF. PROPOSITION 39. THEOREM Equal triangles on the same base, and on the same side of it, are between the same parallels. Let the equal triangles ABC, DEC be on the same base BC, and on the same side of it : then they shall... | |
 | Education - 1899 - 824 pages
...be any point within the quadrilateral A KCD, prove that BO + CD + DA > PA + РП. 3. Equal triangles on the same base and on the same side of it are between the same parallels. If POQ, ROS are two straight lines through 0, and the triangles POJt, QOS are equal in area, prove... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...bases, that is the greater which has the greater altitude. PROPOSITION 39. THEOREM. Equal triangles on the same base, and on the same side of it, are between the same parallels. Let the triangles ABC, DBC which stand on the same base BC, and on the same side of it be equal in... | |
 | University of Toronto - 1901 - 1190 pages
...quadrilateral is greater than the sum of the diagonals, and less than twice that sum. 2. Equal triangles on the same base, and on the same side of it, are between the same parallels. (I. 39.) If ЛВС and ABD are two equal triangles on the same side of the line AJi ¡aid tiie parallelogram... | |
 | 1901 - 488 pages
...ALEXANDER, Head Inspector. Mr. CUSSEN, District Inspector. SECTION A. 1. Prove that equal triangles on the same base and on the same side of it are between the same parallels. 2. The angles at the base of an isosceles triangle are equal, and if the equal sides be produced, the... | |
 | Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...respectively, such that the sum of the lines DF, FG, GE has the least possible value. 2. Equal triangles on the same base and on the same side of it are between the same parallels. Use this proposition to show that the straight line joining the middle points of two sides of a triangle... | |
 | University of Sydney - 1902 - 640 pages
...MENSURATION. (TWO HOUB8 AND A-HALF.) PASS. 1 . Equal triangles on equal bases in the same straight line and on the same side of it are between the same parallels. 2. ABC is a triangle, E and F are the middle points of AB, AC, and AD is perpendicular to BC. Shew... | |
 | Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...points P, Q are taken such that AP=CQ; prove that BPDQ is a parallelogram. Ex. 843. ABCD, ABXY are two parallelograms on the same base and on the same side of it. Prove that CDYX is a parallelogram. Ex. 844. The diagonal AC of a parallelogram ABCD is produced to... | |
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DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i. 
