 | Edward Harri Mathews - 1879 - 94 pages
...base of thar which has the greater angle shall be greater than the base of the other. 4. Triangles upon equal bases and between the same parallels are equal to one another. 5. To a given straight line apply a parallelogram that shall be equal to a given rectilineal figure... | |
 | Euclides - 1879 - 146 pages
...with these sides a triangle equal to the given triangle. PROPOSITION XXXVIII. THEOREM. Triangles on equal bases, and between the same parallels, are equal to one another. Let AS ABC, DBF be on = bases BC, EF, and between the same ||s BF, AD. Then shall A ABC = A DEF. GADH Constr.... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...triangle DEC (ax. 7). Wherefore, Triangles on the same base, &c. QED PKOP. XXXVIII. THEOREM. Tria/ngles on equal bases and between the same parallels are equal to one another. Let ABC and DEF be triangles on equal bases BC and EF, and between the same parallels AD and BF. Then it... | |
 | Education Ministry of - 1880 - 238 pages
...base of that which has the greater angle shall be greater than the base of the other. 4. Triangles upon equal bases and between the same parallels are equal to one another. 5. To a given straight line apply a parallelogram that shall be equal to a given rectilineal figure,... | |
 | Pupil teachers - 1880 - 1486 pages
...middle point of the opposite side BC : prove that the triangles APB and A PC are equal. 38.Triangles upon equal bases and between the same parallels are equal to one another. The equal sides AB, AC of an isosceles triangle are pro duced to D, E, so that AD = 2AB, AE=2AC. Show... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...EBCF. therefore, parallelograms on the same lose &c. QED PROPOSITION 36. THEOREM. Parallelograms on equal bases, and between the same parallels, are equal to one another. Let-ABCD, EFGH be parallelograms on equal bases BC, FG, and between the same parallels AH, BG: the... | |
 | T S. Taylor - 1880 - 152 pages
...Repeat. — The enunciations of Euc. I. 33, 34, 35, and Axiom i. General Enunciation. Parallelograms on equal bases and between the same parallels are equal to one another. Particular Enunciation. Given. — The two parallelograms, ABCD, EFGH, DE (a) on the equal bases BC,... | |
 | Oxford univ, local exams - 1880 - 396 pages
...rectangles contained by the undivided line and the several parts of the divided line. 4. Parallelograms on equal bases, and between the same parallels, are equal to one another. 5. If a straight line be bisected, and produced to any point, the rectangle contained by the whole... | |
 | Education, Higher - 1883 - 536 pages
...proposition is composed. Distinguish carefully between a problem and a theorem. 4. Parallelograms on equal bases and between the same parallels are equal to one another. 5. If a straight line be bisected and produced to any point, the rectangle contained by the whole line... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...sides, he could reduce it, by degrees, to an equivalent triangle. PROP. XXXVIII. THEOREM. Triangles upon equal bases, and between the same parallels, are equal to one anotlter. Let the triangles ABC, DEF, be upon equal bases BC, EF, and between the same parallels BF,... | |
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Triangles upon equal bases, and between the same parallels, are equal to one another. 
