 | William Whewell - 1847 - 708 pagina’s
...with the first twenty-six propositions of Euclid, and not till then, it becomes evident to him, that parallelograms on the same base and between the same parallels are equal ; and he cannot even conceive the contrary. When he has a little further cultivated his geometrical... | |
 | Cambridge univ, exam. papers - 1847 - 40 pagina’s
...and x both lie between 0 and 1, prove that >x. i — a 3. In the figure of Euclid, Book i. Prop. 35, (Parallelograms on the same base and between the same parallels are equal,) if two diagonals be drawn to the two parallelograms respectively, one from each extremity of the base,... | |
 | Thomas Gaskin - 1847 - 301 pagina’s
...Nov. 1847. GEOMETRICAL PROBLEMS. ST JOHN'S COLLEGE. DEC. 1830. (No. I.) 1. PARALLELOGRAMS upon the same base and between the same parallels are equal to one another. 2. Of unequal magnitudes,, the greater has a greater ratio to the same than the less. 3. If the diameter... | |
 | Charles William Hackley - 1847 - 248 pagina’s
...cases is left as an exercise for the learner. THEOREM XXII. Parallelograms, as also triangles, standing on the same base, and between the same parallels, are equal to each other. Let ABCD, ABEF be two parallelograms, and ABC, ABF two triangles, ABAB standing on the... | |
 | J. Goodall, W. Hammond - 1848 - 390 pagina’s
...angles, or 180°; if two be known, they must be deducted from 180°, to leave the third. 2. " Prove that parallelograms on the same base and between the same parallels are equal to one another." Euclid i. 35. Tate, Art. 48. 3. " In any right-angled triangle the square which js described upon the... | |
 | 1848 - 542 pagina’s
...Bell's Euclid," prop. 32, book i. ; (a) and (6). See " Tate's Geometry," &c. page 27. 2. Prove that parallelograms on the same base and between the same parallels are equal to one another. — See " Bell's Euclid," prop. 35, book i. ; or " Tate's Geometry," &c. p. 33. 3. In any right-angled... | |
 | Great Britain. Committee on Education - 1848 - 606 pagina’s
...the construction fails when that condition is not fulfilled. 2. Prove that parallelograms upon the same base and between the same parallels are equal to one another. Shew hence that the area of a parallelogram is properly measured by the product of the numbers that... | |
 | Great Britain. Council on Education - 1848 - 532 pagina’s
...of a triangle, how is the value of the third ascertained ? 2. Prove that parallelograms on the sams base and between the same parallels are equal to one another. 3. In any right-angled triangle, the square which is described upon the side subtending the right angle... | |
 | Great Britain. Committee on Education - 1848 - 514 pagina’s
...of a triangle, how is the value of the third ascertained ? 2. Prove that parallelograms on the sams base and between the same parallels are equal to one another. 3. In any right-angled triangle, the square which is described upon the side subtending the right angle... | |
 | Great Britain. Council on Education - 1848 - 596 pagina’s
...the construction fails when that condition is not fulfilled. 2. Prove that parallelograms upon the same base and between the same parallels are equal to one another. Shew hence that the area of a parallelogram is properly measured by the product of the numbers that... | |
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Parallelograms on the same base and between the same parallels are equal to one another. 
