 | Euclid - Geometry - 1892 - 460 pages
...and mi the xnnic side of it, ar?, 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 area : then shall they be between the same parallels ; that is, if AD be joined, AD shall... | |
 | Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 188 pages
...and XLII, 4.] Proposition 40. 142. Triangles of equal area on equal bases in the same straight line and on the same side of it, are between the same parallels. Let ABC, DEF represent triangles on equal bases BC, EF in the same straight line BF, and on the same... | |
 | Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...must have one pair and may have two pairs of equal angles. 2. ABC, J)BC are two isosceles triangles on the same base BC, and on the same side of it : shew that AD bisects the vertical angles of the triangles. 3. If the opposite sides of a quadrilateral... | |
 | George D. Pettee - Geometry, Modern - 1896 - 272 pages
...bisector, and a parallel to the other side, form an isosceles triangle. 76. ABC and DBC are two triangles on the same base BC and on the same side of it, such that ^41? = DC, AC = DB; and AC intersects DB at O. Prove that BOC is isosceles. 77. If a diagonal... | |
 | Seymour Eaton - 1899 - 362 pages
...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 be between the same parallels. Construction : Join AD. Proof: AD shall be parallel... | |
 | 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
...means of I. 5) that the angle ABD = the angle ACD. ' 3. ABC, DBC are two isosceles triangles drawn on the same base BC and on the same side of it : employ i. 5 to prove that the angle ABD = the angle ACD. PROPOSITION 7. THEOREM. On the same base,... | |
 | 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... | |
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Equal triangles on the same base, and on the same side of it, are between the same parallels. 
