 | Euclid - 1883
...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 - 1883
...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 - 96 Seiten
...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
...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
...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.) - 1884
...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... | |
 | Woolwich roy. military acad - 1884
...this proposition. How many of the exterior angles of any triangle must be obtuse ? 4. Parallelograms upon the same base, and between the same parallels, are equal to one another. 5. Describe a square that shall be equal to a given rectilineal figure. Divide a given straight line... | |
 | 1884
...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... | |
 | Stewart W. and co - 1884
...respectively, then PR and liV are respectively parallel to straight lines KM. and MN. QED SliCTION III. 1. (a) Triangles upon the same base and between the same parallels are equal. (b.) Construct a triangle equal to a given triangle and having a base three times as great (a) See... | |
 | Euclides - 1884
...Therefore, the opposite sides &c. Proved. I. 4. E. r. PROPOSITION XXXV. THEOREM. Parallelograms on the same base, and between the same parallels, are equal to one another. GIVEN that the parallelograms ABCD and EBCF are on the same base BC, and between the same parallels... | |
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TRIANGLES upon the same base, and between the same parallels, are equal to one another. 
