 | Seymour Eaton - 1899 - 362 pages
...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
...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
...triangles on the same base have equal altitudes. [For Exercises see page 79.] PROPOSITION 40. THEOREM. Equal triangles, on equal bases in the same straight...the same side of it, are between the same parallels. BCEF Let the triangles ABC, DBF which stand on equal bases BC, EF, in the same straight line BF, and... | |
 | University of Toronto - 1901 - 1190 pages
...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... | |
 | Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...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... | |
 | 1901 - 488 pages
...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... | |
 | University of Sydney - 1902 - 640 pages
...d, e in HP, prove that a, c, f are in GP GEOMETRY AND MENSURATION. (TWO HOUB8 AND A-HALF.) PASS. 1 . Equal triangles on equal bases in the same straight...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
...base. (For the altitudes of the triangles are equal.) COR. 2. If two equivalent triangles stand upon equal bases in the same straight line, and on the same side of it, the line joining their vertices is parallel to their bases. Ex. 993. What is the converse of the above... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...Proposition it follows that : Equal triangles on the same base have equal altitudes. PROPOSITION 40. THEOREM. Equal triangles, on equal bases in the same straight...the same side of it, are between the same parallels. CE Let the triangles ABC, DEF which stand on equal bases BC, EF, in the same straight line BF, and... | |
 | Cora Lenore Williams - Geometry - 1905 - 56 pages
...same base, or on equal bases, have equal altitudes. Theor. N. Equal triangles on the same base, or on equal bases in the same straight line, and on the same side of it, are between the same parallels. Prop. 88. A trapezoid is equal to a rectangle whose base is half the sum of the two parallel sides,... | |
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Equal triangles, on equal bases, in the same straight line, and on the same side of it, are between the same parallels. Let... 
