| Great Britain. Civil Service Commission - 1880 - 660 pages
...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... | |
| Pupil teachers - 1880 - 1516 pages
...basesand ㎏ tweenthes れ n @ e p 打 ⅠUe ね 竹 eequⅠ の one 町 ] oter ・ h 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... | |
| Oxford univ, local exams - 1880 - 394 pages
...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 - 594 pages
...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 ,... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...two equal parts. Wherefore, the opposite sides &c. QED PROPOSITION 35. THEOREM. Parallelograms on the **same base, and between the same parallels, are equal to one another. Let the** parallelograms ABCD, EBCF be on the same base BC, and between the sameparallels AF, BC : the parallelogram... | |
| Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...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 and BC. Then it is... | |
| Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...ABC ; show how to divide A into two parts whose difference is equal to B. 2. Parallelograms on the **same base and between the same parallels are equal to one another.** On the side of the base BC remote from the vertex A of an acute-angled triangle a rectangle BDEC is... | |
| Education Ministry of - 1880 - 248 pages
...two adjacent sides of another parallelogram, the other sides will also be parallel. 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. 2. To a given... | |
| T S. Taylor - 1880 - 152 pages
...of Euc. I. 4, I. 29, and I. 34. And Axioms 2a, 30, and 6. General Enunciation. Parallelograms on the **same base, and between the same parallels, are equal to one another.** Particular Enunciation (CASK I). Given — The parallelograms ABCD, DBCF, on the same base BC, and... | |
| 1880 - 160 pages
...interior angles of every triangle are together equal to two right angles. (v.) Parallelograms on the **same base, and between the same parallels, are equal to one another.** (vi.) In any right angled triangle, the square which is described on the side subtending the right... | |
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