 | Stewart W. and co - 1884 - 272 pages
...to the same EBCH ; therefore, also the parallelogram ABCJ) is equal to EFGH. JLX.XVJI. — Triangles upon the same base, and between the same parallels, are equal to one another. Let the triangles be ABC, DBC. Produce AD both ways to the points E, F, and through B draw BE parallel to CA... | |
 | 1884 - 266 pages
...Describe two 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... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...second part of 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... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1884 - 154 pages
...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... | |
 | Euclides - 1884 - 214 pages
...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... | |
 | Daniel Greenleaf Thompson - 1884 - 632 pages
...continyent truths. The former kind are truths which cannot but be true; as that 19 and 11 make 30; that parallelograms upon the same base and between the same parallels are equal ; that all the angles in the same segment of a circle are equal. The latter are truths which it happens... | |
 | Euclides - 1884 - 182 pages
...equal in all respects. on DE. Wherefore, &c. (I. 16) (Ax. 8) QED 8. PROPOSITION XXXV. — THEOREM. Parallelograms upon the same base and between the same parallels are equal. Let ABCD, EBCF be the two Qma upon the same base 5(7, and between the same ||*. Then shall Q'" ABCD... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...second part of 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. Of all triangles that can be drawn upon a given base and between the same parallels, shew that an isosceles... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...that 'the three medians of a triangle are concurrent.' PROPOSITION 35. THEOREM. Parallelograms on the same base and between the same parallels are equal to one another. Let ||gms A BCD, EBCF be on the same base and between the same ||s AF, BC, ABCD shall be equal to EBCF.... | |
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PARALLELOGRAMS upon the same base, and between the same parallels, are equal to one another... 
