| 1879
...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... | |
| Joseph Wollman - 1879
...is parallel to SR (I. 30). Similarly it can be proved that LO is parallel to PS. QED SECTION III. 1. **Triangles upon the same base and between the same parallels are equal.** Construct a triangle equal to a given triangle and having a base three times as great. Let LMN xbe... | |
| Rolla Rouse - 1879
...gives four propositions where only one is required. Proposition 35, stating that parallelograms on the **same base and between the same parallels are equal to one another** ; Proposition 36, that on equal bases and between the same parallels they are equal ; and 37 and 38,... | |
| William Stanley Jevons - 1879 - 315 Seiten
...investment of the whole amount. In the 37th proposition of the first book of Euclid it is proved that all **triangles upon the same base and between the same parallels are equal** in area. Hence we may draw the conclusion that, provided capital be invested and uninvested continuously... | |
| University of Madras - 1879
...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... | |
| Edward Harri Mathews - 1879
...equal to two right angles. What ratio does the angle of a regular hexagon bear to a right angle ? 2. **Triangles upon the same base and between the same parallels are equal.** A line drawn through the middle points of the sides of a triangle is parallel to the base. 3. In any... | |
| University of Oxford - 1879
...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... | |
| Great Britain. Civil Service Commission - 1880
...this proposition and prove it. 2. Two sides of a triangle are together greater than the third side. 3. **Triangles upon the same base and between the same parallels are equal to one another.** Two equal triangles, ABC and DBG, are upon the same base BC and upon the same side of it ; prove that... | |
| Oxford univ, local exams - 1880
...and likewise the two interior angles upon the same side equal to two right angles. 3. Parallelograms **upon the same base, and between the same parallels, are equal to one another.** 4. Describe a square that shall be equal to a given rectilineal figure. 5. If two circles touch each... | |
| 1880
...along this straight line the point A shall fall upon the point D. 2. Euc. I. 28. 3. Parallelograms **upon the same base, and between the same parallels, are equal to one another.** Are the parallelograms equal in all respects ? Algebra. — 1. Simplify ij-f j i— §(*— $) j ,... | |
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