| John Gibson - 1881
...equal to one another, and that the diameter bisects the parallelogram. 4. Prove that parallelograms **upon the same base and between the same parallels are equal to one another.** 5. Prove that in any right-angled triangle ABC, the square which is described upon the side AB subtending... | |
| Moffatt and Paige - 1881 - 1880 páginas
...base BC of a triangle ABC, so that DE shall be equal to the difference of BD, C E. 5. Parallelograms **upon the same base, and between the same parallels, are equal to one another.** ALGEBRA. 1. Find the value of &(y + x)# + $x(y - z)' - (x - z), when .r = 3, y = 4, z = 7. 2. Simplify... | |
| John Gibson - 1881
...The opposite sides and angles of a parallelogram are equal to one another. 2. Parallelograms on the **same base and between the same parallels are equal to one another.** 3. Triangles on the same base and between the same parallels are equal. 4. Equal triangles on the same... | |
| Marianne Nops - 1882
...||""™ ABCD = ||*™m EFGH (ax. 1). Wherefore parallelograms, &c. — QED PROPOSITION XXXVII. THEOREM. **Triangles upon the same base and between the same parallels are equal to one another.** Let the As ABC, DBC be on the same base BC and between the same ||s AD, BC. A ABC shall be equal to... | |
| 1882
...practical proof of this proposition. 7. Enunciate the propositions which tell when lines are parallel. 8. **Triangles upon the same base and between the same parallels are equal to one another.** 9. If the square described upon one of the sides of a triangle be equal to the squares described upon... | |
| 1882
...equal to two right angles ; the two straight lines shall be parallel to one another. 3. Parallelograms **upon the same base, and between the same parallels, are equal to one another.** Arc the parallelograms equal in all respects ? Algebra. 1. Simplify ij — J{i — \(x— Ji}, and... | |
| 1883
...circles of given unequal radii, so as to tonch each other, and a given straight line. 6. Parallelograms **upon the same base, and between the same parallels are equal to one another.** 7. In obtuse- angled triangles if a perpendicular be drawn from any one of the acute angles to the... | |
| 1882
...the two interior angles on the same side together equal to two right angles. 4. Parallelograms on the **same base, 'and between the same parallels, are equal to one another.** 5. In any right-angled triangle FGH, the square which is described on the side FH, subtending the right... | |
| Education Ministry of - 1882
...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... | |
| John Robertson (LL.D., of Upton Park sch.) - 1882
...each. Find how many he has of each kind. 1. Write down the three postulates. 2. Parallelograms on the **same base, and between the same parallels are equal to one another.** 3. If a straight line be bisected, and produced to any point, the squares of the whole line thus produced,... | |
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