| Euclides - 1874
...parallelogram BD is equal to the parallelogram FH. (Ax. 1.) PROP. XXVIII.— THEOREJL (Euc. I. 37.) **Triangles on the same base and between the same parallels are equal** in area. r. D c -v „ Let ABC and ABD be two triangles on the same base AB and between the same parallels,... | |
| Euclides - 1874
...equal to the parallelogram EFGH. [Ax. i.] Therefore, parallelograms, &c. QED PROPOSITION 37. THEOREM. **Triangles on the same base, and between the same parallels, are equal.** * Let the triangles ABC, DBC be on the same ' • base BC, and between the same parallels AD, BC: the... | |
| University of Madras - 1876
...side BC is produced to D. Prove that the exterior angle ACD is greater than the angle ABC. III. Prove **that triangles on the same base and between the same parallels are equal** to one another. (a) Two equal triangles have two sides of the one equal to two sides of the other.... | |
| Popular educator - 1876
...DE, н к, and they are what we may term symmetrical triangles. From this we learn that symmetrical **triangles on the same base and between the same parallels are equal** to one another ; and this is true, not for symmetrical Fig. 32. triangles only, but for any triangles,... | |
| William George Spencer - 1877 - 97 páginas
...322. Take an inch to represent a foot, and make a scale of feet and inches. 323. From the theorem, **that triangles on the same base, and between the same parallels^ are equal** in surface, can you change a trapezium into a triangle ? 324-. Can you change a triangle into a rectangle... | |
| Euclides - 1879
...ABCD = /— 7 EFGH. (ax. i) Therefore, parallelograms on equal, &c. QED PROPOSITION XXXVII. THEOREM. **Triangles on the same base, and between the same parallels, are equal** to one another. Let the As ABC, DEC be on the same base BC, and between the same ||s AD, BC. Then shall... | |
| University of Madras - 1879
...coefficient of a,u in the expansion of 1/"(\ + x)3 7.9.11.23 ' -TT - w in ascending powers of x is R / A VII. **Triangles on the same base and between the same parallels are equal** to one another. ABCD is a quadrilateral figure whose diagonals intersect in E. AD BC are produced to... | |
| Euclid, F. B. Harvey - 1880 - 119 páginas
...= the parallelogram EFGH. Wherefore, Parallelograms on equal bases, &c. QED PROP. XXXVII. THEOREM. **Triangles on the same base and between the same parallels are equal** to one another. Let ABC and DBC be triangles on the same base BC, and between the same parallels AD... | |
| 1880 - 144 páginas
...which join the extremities of equal and parallel straight lines are themselves equal and parallel. 4. **Triangles on the same base and between the same parallels are equal.** The lines joining the middle points of the sides of a triangle with the opposite angular points meet... | |
| William George Spencer - 1881 - 97 páginas
...322. Take an inch to represent a foot, and make a scale of feet and inches. 323. From the theorem, **that triangles on the same base, and between the same parallels.. are equal** in surface, can you change a trapezi um into a triangle ? 324. Can you change a triangle into a rectangle... | |
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