| Euclid, Isaac Todhunter - 1883 - 400 sider
...the parallelogram ABCD is equal to the parallelogram EBCF. PROPOSITION 36. THEOREM. Parallelograms on **equal bases, and between the same parallels, are equal to one another.** Let ABCD, EFGH be parallelograms on equal bases SO, FG, and between the same parallels AH, BO- : the... | |
| Euclides - 1883 - 96 sider
...Q EC (/. 34), and A DBC is half 0 BF, .-. A ABC = A DBC (Ax. 7). QED PROP. 38. THEOR. Triangles on **equal bases and between the same parallels are equal to one another.** Given triangles ABC, c DEF, on equal bases V BC, EF, and be- \ tween the same ^__^__ parallels BF,... | |
| Euclides - 1884
...therefore the triangle ABC is equal to the triangle DBC. Wherefore, triangles, &o. QED 86. PROPOSITION **XXXVIII. — THEOREM. Triangles upon equal bases and...between the same parallels are - equal to one another.** Let the triangles ABC, DEF be upon the equal bases BC, HF, and between the same parallels BF, AD. Then... | |
| Stewart W. and co - 1884
...the diameter AB bisects it ; and DBC is the half of DBCF; therefore ABC is equal to DBC. XXXVIII. — **Triangles upon equal bases, and between the same parallels, are equal to one another.** Let the triangles ABC, DEF, be upon equal bases BC, EF, and between the same parallels BF, AD. Produce... | |
| 1884
...alternate angles equal to each other, these two straight lines shall be parallel. Prop. 27, Bk. I. 2. **Triangles upon equal bases and between the same parallels, are equal to one another.** Prop. 38, Bk. I. 3. The straight line which joins the middle points of two sides of a triangle is equal... | |
| 1884
...the equal sides 350 yards ; find the area of the triangle. 5 marks. 7. Prove that parallelograms on **equal bases, and between the same parallels, are equal to one another.** 5 marks. 8. The diameters of two concentric circles are 55 feet and 45 feet ; find the area of the... | |
| Woolwich roy. military acad - 1884
...F: prove that if the angle AFE is equal to the angle AFD the triangle is isosceles. 2. Triangles on **equal bases, and between the same parallels, are equal to one another.** ACB is a triangle, CD, BE parallel lines meeting AB and AC produced respectively in D and E: prove... | |
| Euclides - 1884
...DBC. Axiom 7. Therefore, triangles on the same base &c. QED PROPOSITION XXXVIII. THEOREM. Triangles on **equal bases, and between the same parallels, are equal to one another.** GIVEN that the triangles ABC and DBF are on equal bases BC, EF, and between the same parallels BF and... | |
| 1885
...upon the same side together equal to two right angles. Euclid, Book I., Prop. 29. 2. Parallelograms **upon equal bases and between the same parallels are equal to one another.** Euclid, Book I., Prep. 36. 3. Find a square equal to the sum of three given squares, and hence show... | |
| Oxford univ, local exams - 1885
...square on the straight line which is made up of the half and the part produced. 7. Parallelograms on **equal bases, and between the same parallels, are equal to one another.** 8. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite... | |
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