| Euclides - 1871 - 136 pages
...[3EBCH= EJEFGH, i. 35. V they are on the same base EH and between the same IIs ; .-. O ABCD =o EFGH. **Triangles upon the same base, and between the same parallels, are equal to one another. Let** A s ABC, DBC be on same base BC and between same lis AD. BC. Then must &ABC= &DBC. From B draw BE \\... | |
| Henry William Watson - Geometry - 1871 - 320 pages
...proved equal to the area of AF, therefore the area of AF is equal to the area of GD. PROPOSITION 6. **Triangles upon the same base and between the same parallels are equal to one another** in area. Fig. 14. j) AD P Let the triangles ABC and DBC be upon the same base BC, and between the same... | |
| William Kennedy Maxwell - 1871 - 148 pages
...ft. 13. Here, as 4-1 : 65 : : 5 : 79-26, the height of the pole. Ans. 14. Now, triangles that stand **upon the same base, and between the same parallels are equal to** each other ; therefore, this question will, as shown in the figure, admit of two answers. Here, the... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...same II s ; and CJEBCH= CJEFGH, i. 35. v they are on the same base EH and between the same IIs ; QED **PROPOSITION XXXVII. THEOREM. Triangles upon the same...the same parallels, are equal to one another. Let** A s ABC, DBC be on same base BC and between same IIs AD, BC. Then must &ABC= A DBC. From B draw BE... | |
| Euclid, Charles Peter MASON - Geometry - 1872 - 216 pages
...ABCD and EFGH, being each equal to the parallelogram ABGH, Are equal to each other. PBOPOSITION XXXVU. **Triangles upon the same base and between the same parallels are equal to** each other. For the construction in this proposition we must be ableto draw a straight line from a... | |
| Hugo Reid - Mathematics - 1872 - 146 pages
...produced. 142. If ote. — This illustrates the important geometrical truth, that — Parallelograms on the **same base and between the same parallels are equal to one another;** that is, equal in area. Fic.34 AEFD and ABCD are on the same base AD and between the same parallels... | |
| Lewis Sergeant - 1873 - 182 pages
...decimals. (10.) 21 41 21 228 2000 _1824 1~7G, <fcc. (See Arith., § 61.) * 3. Show that parallelograms and **triangles upon the same base and between the same parallels are equal to one another.** (10.) (This appears to mean that parallelograms on the same base and between the same parallels are... | |
| Henry Major - Student teachers - 1873 - 592 pages
...and DEC is the half of DBCF ; therefore ABC is equal to DEC. XXXVIII. — Triangles 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, AD. Produce AD both ways to the... | |
| Edward Atkins - 1874 - 424 pages
...two equal parts. Therefore, the opposite sides, <fec. QED Proposition 35. — Theorem. Parallelograms **upon the same base, and between the same parallels, are equal to one another. Let the** parallelograms A BCD, EBCF be on the same base BC, and between the same parallels AF, BC; The parallelogram... | |
| Euclides - 1874 - 342 pages
...divides the parallelogram ACDB into two equal parts. ~ QED PROPOSITION 35. — Theorem. Parallelograms **upon the same base, and between the same parallels, are equal to one another. Let the** parallelograms ABCD, EBCF be upon the same base BC, and between the same parallels AF, BC. Then the... | |
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