 | Lewis Sergeant - 1873 - 182 σελίδες
...appears to mean that parallelograms on the same base and between the same parallels are equal, and also that triangles on the same base and between the same parallels are equal. See Geometry, Props. 35, 37.) * 6. Divide a6 - 3 aV + 3 aV - a? by a? - 3 a?x + 3 oo? -a?. (10.) as... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 σελίδες
...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 - 120 σελίδες
...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 - 580 σελίδες
...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 - 854 σελίδες
...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 - 108 σελίδες
...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... | |
 | University of Madras - 1879 - 674 σελίδες
...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... | |
 | Euclides - 1879 - 146 σελίδες
...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... | |
 | Euclides, Frederick Burn Harvey - 1880 - 178 σελίδες
...= 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 - 160 σελίδες
...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... | |
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... that triangles on the same base and between the same parallels are equal... 
