| Edward Harri Mathews - 1879
...other, the 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... | |
| Moffatt and Paige - 1879
...triangle DEC. Therefore, triangles upon the same base, etc. QED Proposition XXXVIII. TheoremTriangles **upon equal bases and between the same parallels are equal to one another.** Let the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF, A D. Then... | |
| Joseph Wollman - 1879
...BC^side EF (hyp.); therefore the triangles are equal in every respect (I. 26). QED SECTION III. 1. **Triangles upon equal bases and between the same parallels are equal to** each other. If AB, one of the sides of the triangle ABC, be bisected in O, and AC divided into three... | |
| Euclides - 1879
...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... | |
| Pupil teachers - 1880
...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 - 1880 - 400 sider
...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... | |
| Oxford univ, local exams - 1880
...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... | |
| Euclid, F. B. Harvey - 1880 - 119 sider
...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... | |
| Education Ministry of - 1880
...right-angled isosceles triangles have their bases equal, they will be equal in all respects. SECTION III. 1. **Triangles upon equal bases and between the same parallels are equal to** each other. If AB, one of the sides of the triangle ABC, be bisected in O, and AC divided into three... | |
| T S. Taylor - 1880
...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,... | |
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