 | Alfonzo Gardiner - 1878 - Liczba stron: 146
...The difference of two numbers is 14, and their sum is 48 : find the numbers. 8. Prove that triangles upon the same base, and between the same parallels, are equal to one another. 9. What do you mean by the " complements of a parallelogram " and by " applying a parallelogram to... | |
 | Moffatt and Paige - 1879 - Liczba stron: 474
...ACD B. Therefore, the opposite sides and angles, etc. . QED Proposition XXXV. 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, B C. Then the... | |
 | Great Britain. Parliament. House of Commons - 1879 - Liczba stron: 632
...and also the two interior angles on the same side together equal to two right angles. 3. Triangles upon the same base and between the same parallels are equal to one another. Let ABC, ABD, be two equal triangles upon the same base AB, and on opposite sides of it ; if CD be joined... | |
 | Euclides - 1879 - Liczba stron: 146
...opposite angles : these lines trisect the given line. PROPOSITION XXXV. THEOREM. Parallelograms on the same base, and between the same parallels, are equal to one another. Let the / — 7s ABCD, EBCF be on the same base BC, and between the same ||s AF, BC. Then shall /— 7 ABCD... | |
 | 1879 - Liczba stron: 636
...possible ? Show how the construction will fail if the condition is not observed. 4. Parallelograms upon the same base and between the same parallels are equal to one another. 5. In any right-angled triangle the square which is described upon the side subtending the right angle... | |
 | W J. Dickinson - 1879 - Liczba stron: 44
...Parallelograms upon equal bases and between the same parallels are equal to one another. 37. Triangles upon the same base and between the same parallels are equal to one another. Any point P is taken in the line joining an angular point A of a triangle to the middle point of the... | |
 | James Hamblin Smith - 1879 - Liczba stron: 378
...same base EH and between the same || s ; .: lUABCD=OEFGH. QED PROPOSITION XXXVII. THEOREM. Triangles upon the same base, and between the same parallels, are equal to one another. O Let A a ABC, DBC be on the same base BC and between the same \\a AD, BC. Then must A ABC= &DBC. From... | |
 | Edward Harri Mathews - 1879 - Liczba stron: 94
...to two right angles. Prove this and enunciate the two corollaries to this proposition. 5. Triangles upon the same base and between the same parallels are equal to one another. 6. In any right-angled triangle, the squares described upon the sides containing the right angle, are... | |
 | University of Madras - 1879 - Liczba stron: 674
...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 meet at O. OP... | |
 | University of Oxford - 1879 - Liczba stron: 414
...and parallelograms of the same altitude are to one another as their bases. 8. Parallelograms on the same base, and between the same parallels, are equal to one another. 9. Divide a given straight line into two parts, so that the rectangle contained by the whole and one... | |
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Parallelograms upon the same base and between the same parallels, are equal to one another. 
