 | Woolwich roy. military acad - 1884 - Liczba stron: 148
...this proposition. How many of the exterior angles of any triangle must be obtuse ? 4. Parallelograms upon the same base, and between the same parallels, are equal to one another. 5. Describe a square that shall be equal to a given rectilineal figure. Divide a given straight line... | |
 | Euclides - 1884 - Liczba stron: 214
...Therefore, the opposite sides &c. Proved. I. 4. E. r. PROPOSITION XXXV. THEOREM. Parallelograms on the same base, and between the same parallels, are equal to one another. GIVEN that the parallelograms ABCD and EBCF are on the same base BC, and between the same parallels... | |
 | E. J. Brooksmith - 1889 - Liczba stron: 356
...this proposition. How many of the exterior angles of any triangle must be obtuse ? 4. Parallelograms upon the same base, and between the same parallels, are equal to one another. Of all triangles that can be drawn upon a given base and between the same parallels, shew that an isosceles... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - Liczba stron: 538
...that 'the three medians of a triangle are concurrent.' PROPOSITION 35. THEOREM. Parallelograms on the same base and between the same parallels are equal to one another. Let ||gms A BCD, EBCF be on the same base and between the same ||s AF, BC, ABCD shall be equal to EBCF.... | |
 | Rupert Deakin - 1891 - Liczba stron: 102
...the diameter bisects the parallelogram, ie divides it into two equal parts. 35. Parallelograms on the same base and between the same parallels are equal to one another. 36. Parallelograms on equal bases and between the same parallels are equal to one another. 37. Triangles... | |
 | Euclid - 1892 - Liczba stron: 460
...PROPOSITION 37. THEOREM. Triangles on the same base, and between the sanie parallels, are equal in area. Let the triangles ABC, DBC be upon the same base BC, and between the same parallels BC, AD. Then shall the triangle ABC be equal to the triangle DBC. Construction. Through B draw BE parallel... | |
 | Euclid, John Bascombe Lock - 1892 - Liczba stron: 188
...Triangles upon the same base and between the same parallels are equal, Let ABC, DBC represent triangles upon the same base BC and between the same parallels AD, BC ; it is required to prove that the area of ABC is equal to that of DBC. Let the line through B, parallel... | |
 | Seymour Eaton - 1899 - Liczba stron: 362
...ABC is equal to the triangle BCD (Proposition 4). PROPOSITION 35. THEOREM 323 Parallelograms on the same base and between the same parallels are equal to one another. Let the parallelograms ABCD, EBCF be on the same base BC, and between the same parallels AF, BC; then the parallelogram... | |
 | American Association for the Advancement of Science - 1899 - Liczba stron: 650
...third part a strict treatment of equivalence. Even Euclid, in proving his I. 35, "Parallelograms on the same base, and between the same parallels, are equal to one another," does notshowthat the parallelograms can be divided into pairs of pieces admitting of superposition... | |
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Parallelograms upon the same base and between the same parallels, are equal to one another. 
