| John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...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,... | |
| 1882 - 480 pages
...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 - 292 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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...divides the parallelogram AGDB into two equal parts. PROPOSITION 85. 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, BG: the parallelogram... | |
| Joseph Hughes - Education - 1883 - 578 pages
...Inspector. Euclid. MALES. [All generally understood abbreviations for -sards may be used.] 1. Parallelograms **upon the same base, and between the same parallels, are equal to one another.** Prop. XXXV., Bk. I. 2. To describe a parallelogram equal to a given rectilineal nre, and having an... | |
| Euclides - 1883 - 176 pages
...area of the first is the same multiple of the area of the other. PROP. 37. THEOR. Triangles on the **same base and between the same parallels are equal to one another.** Given ABC, DBC, two triangles on the base BC, and between the parallels BC, AD. To prove A ABC = A... | |
| Euclides - 1884 - 182 pages
...order would be improved in respect of convenience. 83. PROPOSITION XXXV. — THEOREM. Parallelograms **upon the same base and between the same parallels are equal to one another. Let the** parallelograms ABCD, EBCFloe upon the same base BC, and between the same parallels AF, BC. Then these... | |
| Stewart W. and co - 1884 - 272 pages
...ABC is equal to BCD ; therefore the triangle ABC is equrj to BCD. AE J> J1 XXXV. — Parallelograms **upon the same base, and between the same parallels, are equal to one another. Let the** parallelograms ABCD, EBCF, be upon the same base BC, and between the same parallels AF, BC. If the... | |
| John Robertson (LL.D., of Upton Park sch.) - Examinations - 1884 - 154 pages
...more together 1. Distinguish between a quadrilateral, a parallelogram, a rhombus, and a square. 2. **Triangles upon the same base and between the same parallels, are equal to one another.** 3. In every triangle, the square of the side subtending either of the acute angles, is less than the... | |
| 1884 - 266 pages
...circles of given unequal radii so as to touch 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... | |
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