| John Gibson - 1881
...another. 2. Parallelograms on the same base and between the same parallels are equal to one another. 3. **Triangles on the same base and between the same parallels are equal.** 4. Equal triangles on the same base and on the same side of it are between the same parallels. 5. Prove... | |
| 1883
...of superposition that the angles at the base of an isosceles triangle are equal to one another. 4. **Triangles on the same base and between the same parallels are equal.** 5. Distinguish clearly between a theorem and a problem. 6. If a straight line be divided into any two... | |
| Marianne Nops - 1882
...theorems we prove the corresponding cases of equality of area in triangles. Proposition XXXV II. shows **that triangles on the same base and between the same parallels are equal** in area. On the same base BC and between the parallels AD, BC let there be two triangles ABC, DBC.... | |
| Isaac Sharpless - 1882 - 266 páginas
...between the same parallels EF, CH. Hence (Ax. 1) ABDC is equal to EFHG. ' Proposition 35. Tlieorem. — **Triangles on the same base and between the same parallels are equal.** Let ABC, DBCbe two triangles on the same base BC and between the same parallels BC, AD ; they will... | |
| Euclides - 1883 - 96 páginas
...other. Show that the area of the first is the same multiple of the area of the other. PROP. 37. THEOR. **Triangles on the same base and between the same parallels are equal** to one another. Given ABC, DBC, two triangles on the base BC, and between the parallels BC, AD. To... | |
| London univ, Middlesex hosp. med. sch - 1884
...864. 8. — Show that the length of the edge of a cube multiplied by \/3 gives its diagonal. 9. — **Triangles on the same base and between the same parallels are equal.** 10. — If a straight line be divided into two parts, the square of the whole line, minus twice the... | |
| Euclides - 1884
...to the parallelogram EFGH. Axiom 1. Therefore, parallelograms <kc. QED PROPOSITION XXXVII. THEOREM. **Triangles on the same base, and between the same parallels, are equal.** GIVEN that tlie triangles ABC and DBC are on the same base BC, and between the same parallels AD and... | |
| Euclides - 1884
...deduction. 6. Equal |]m8 situated between the same parallels have equal bases. PROPOSITTON 37. THEOREM. **Triangles on the same base and between the same parallels are equal** in area. BC Let ABC, DBC be triangles on the same base BC, and between the same parallels AD, BC: it... | |
| University of Cambridge - 1884
...other angles shall be equal, each to «*acb. namely tboee to which the equal sides are opposite. 9. **Triangles on the same base, and between the same parallels, are equal.** In the sides В С, CD of a parallelogram AB С D points P, Q are taken such that PQ i» parallel to... | |
| United States. Congress. Senate - 1880
...axiom upon which your proof in based, and mention any other which has been proposed instead of it. <• **Triangles on the same base and between the same parallels are equal** to each other. ¿92 NAVAL EDUCATION — 5. Describe a square which »hall be equal to a given rectilineal... | |
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