| William George Spencer - Geometry - 1881 - 116 pages
...make two triangles that shall be equal to each other, and yet not similar ? 137. Can you show that all **triangles upon the same base and between the same parallels are equal to one another** ? -£.^1 MtVg( Ce•\•. l-~ s' 138. Can you place a circle, whose radius is 1J inch, so that its... | |
| Education, Higher - 1883 - 536 pages
...and have one side equal to one side, then the triangles are equal in every respect. 6. Parallelograms **upon the same base and between the same parallels are equal to one another.** 7. Define : adjacent angles, opposite angles, vertical angles, and alternate angles ; and give examples... | |
| John Gibson - 1881 - 302 pages
...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 - 176 pages
...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... | |
| Euclides - Euclid's Elements - 1881 - 236 pages
...at the vertices of any two of its opposite angles. PROP. XXXV. THEOREM. Parallslogramt upon the tame **base, and between the same parallels, are equal to one another. Let the** parallelograms AC, BF be upon the same base BC, and and between the same parallels AF, BC. The parallelogram... | |
| John Gibson - 1881 - 64 pages
...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 - 278 pages
...equal to fm0- EFGH. .-. ||""™ ABCD = ||*™m EFGH (ax. 1). Wherefore parallelograms, &c. — QED **PROPOSITION XXXVII. THEOREM. Triangles upon the same...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 A DBC.... | |
| Education, Higher - 1882 - 498 pages
...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... | |
| 1883 - 248 pages
...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... | |
| Education - 1882 - 676 pages
...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... | |
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