 | 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 - 486 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 - 428 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 - 568 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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Parallelograms upon the same base and between the same parallels, are equal to one another. 
