 | War office - 1861 - 714 pages
...why the product is not the square root of the product of 8 and •0002. EUCLID 1. Parallelograms on equal bases and between the same parallels are equal to one another. 2. If the square described on one of the sides of a triangle be equal to the squares described on the... | |
 | Euclides - 1862 - 140 pages
...ABC is equal to the triangle DBC. Conclusion. — Therefore, triangles, &c, QED PROPOSITION 38.— THEOREM. Triangles upon equal bases, and between the same parallels, are equal to one another. (References— Prop. I. 31, 34, 36; ax. 7.) Hypothesis. — Let the triangles ABC, DEF, be on equal... | |
 | Euclides - 1862 - 172 pages
...E3CT. Therefore, parallelograms upon the same base, &c. QED PROP. XXXVI.— THEOREM. Parallelograms upon equal bases and between the same parallels are equal to one another. (References — Prop. i. 33, 34, 35; ax. 1.) Let ABCD, EFGH be parallelograms upon equal bases BC,... | |
 | Architecture - 1863 - 300 pages
...point in one of the sides ; also by a line drawn perpendicular to one of the sides. 8. Proposition 38, Theorem ; Triangles upon equal bases and between the same parallels are equal to one another. 9. Divide an equilateral trianglo into four equal triangles. Book 2. 10. Proposition 7, Theorem ; It... | |
 | Robert Potts - 1863 - 482 pages
...triangle be produced, the angles upon the other side of the base shall be equal. 9. Parallelograms upon equal bases and between the same parallels are equal to one another. A parallelogram has one side fixed, while the other sides move in such a manner that its area is- always... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...given straight line, make a rectilineal angle equal to a given rectilineal angle. 5. Parallelograms upon equal bases, and between the same parallels, are equal to one another. 6. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given... | |
 | Euclides - 1863 - 74 pages
...consequently, half the product of the base ana altitude gives the area of a triangle. PROP. 38. — THEOR. Triangles upon equal bases and between the same parallels, are equal to cote another. E. 1 C. 3 Cos.— Pst. 2, P. 31, Def. A.— DEM.— P. 36, P. 31, Ax. 7. Hyp. 1. Let... | |
 | Euclides - 1864 - 262 pages
...parallelogram-E.BCF. Therefore, parallelograms upon the same, &c. QED PROPOSITION XXXVI. THEOREM. Parallelograms upon equal bases and between the same parallels, are equal to one another. Let ABCD, EFGIfbe parallelograms upon equal bases BC, FG, and between the same parallels AH, BG. Then the... | |
 | University of Cambridge - 1864 - 694 pages
...described on AB i» " sq. on AB," and for the rectangle contained by AB and CO, " the rect. AB, CD." 1. TRIANGLES upon equal bases and between the same parallels are equal to one another. If a quadrilateral figure have two sides parallel, and the parallel sides be bisected, the line joining... | |
 | William Walton - Mathematics - 1864 - 234 pages
...described on AB is " sq. on AB," and for the rectangle contained by AB and CD, " the rect. AB, CD." 1. TRIANGLES upon equal bases and between the same parallels are equal to one another. If a quadrilateral figure have two sides parallel, and the parallel sides be bisected, the line joining... | |
| |
Parallelograms upon equal bases, and between the same parallels, are equal to one another. 
