| Edward Atkins - 1874
...parallelogram EBCF. Therefore, parallelograms, <fec. QED Proposition 36. — Theorem. Parallelograms **upon equal bases, and between the same parallels, are equal to one** anot/ier. Let ABCD, EFGH be parallelograms on equal bases BC, FG, and between the same parallels AH,... | |
| Euclides - 1874
...CB ; shew that the triangle AOD is equal to the triangle BOC. PROPOSITION 38. THEOREM. Triangles on **equal bases, and between the same parallels, are equal to one another.** . Let the triangles ABC, DEF be on equal bases 1 • BC EF and between the same parallels Bf, AD :... | |
| Edward Atkins - 1876 - 119 sider
...Therefore the triangle ABC is equal to the triangle DBC. Therefore, triangles, &c. QED Proposition 38. — **Theorem. Triangles upon equal bases, and between the same parallels, are equal to one another.** Let tho triangles ABC, DEF, bo on equal bases BC, EF, and between the same parallels BF, AD. The triangle... | |
| James Martin (of the Wedgwood inst, Burslem.) - 1876
...therefore the triangles are equal, as ' ' the halves of equal things are equal." — Euc. I., Ax. 7. (D.) " **Triangles upon equal bases and between the same parallels are equal to one another"** (in area). — Euc. I.. 38. Ex. ABC, KEFNOTE. -It can be readily seen that A BC is a half of the parallelogram... | |
| Robert Potts - 1876 - 403 sider
...the three interior angles of every triangle are together equal to two right angles. 4. Triangles on **equal bases and between the same parallels are equal to one another.** 5. If the square described on one of the sides of a triangle be equal to the squares described on the... | |
| Education Department,London - 1876
...points of the opposite sides of any quadrilateral bisect each other at the point of intersection. 3. **Triangles upon equal bases and between the same parallels are equal to** each other. 4. If the square described on one of the sides of a triangle be equal to the squares described... | |
| Scotland free church
...squares on the two parts, together with twice the rectangle contained by the parts. 4. Parallelograms **upon equal bases and between the same parallels are equal to one another.** 5. Describe a right-angled triangle upon a given base, having given also the perpendicular from the... | |
| J T. Amner - 1878
...another square will be formed whose area is equal to one-half of the original square. 2. Triangles on **equal bases and between the same parallels are equal to one another.** Describe a triangle equal to one-sixteenth of a given triangle, and having the same angles. 3. The... | |
| 1878
...together less than the perimeter, but greater than the semiperimeter of the triangle. 2. Parallelograms on **equal bases and between the same parallels are equal to one another.** Find a point in one of two given straight lines such that the perpendiculars drawn through it to both... | |
| W J. Dickinson - 1879 - 36 sider
...triangle to the middle point of the opposite side EC : prove that the triangles APB and APC 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 produced to D, E, so that AD = 2AB, AE=2AC. Show... | |
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