 | Euclides - 1864 - 448 pages
...therefore the triangle ABC is equal to the triangle DBC. Wherefore, triangles, &c. QED PROPOSITION XXXVIII. THEOREM. 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. Then... | |
 | 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... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...value of 1L due 12 years hence, when money bears 4^ per cent, compound interest. 9. Parallelograms upon equal bases and between the same parallels are equal to one another. other circle be described with centre C, chords of this latter which, produced if necessary, pa&s through... | |
 | Robert Potts - 1865 - 528 pages
...therefore the triangle ABC IB equal to the triangle DBC. Wherefore, triangles, &c. QED PROPOSITION XXXVII1. THEOREM. 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. Then... | |
 | Euclides - 1865 - 80 pages
...also equal to EBCH; therefore the parallelogram ABCD is likewise equal to the parallelogram EFGH. Cor. Triangles upon equal bases and between the same parallels are equal to one another. For the diagonals AC, EG bisect the parallelograms, and therefore (Ax. 7) the triangle ABC is equal... | |
 | Euclides - 1865 - 402 pages
...37. Triangles upon the same base, and between the same parallels, are equal to one another. Prop. 38. Triangles upon equal bases, and between the same parallels, are equal to one another. Prop. 39. Equal triangles upon the same base, and upon the same side of it, nre between the same parallels.... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...ABC is equal to the triangle DBG. Wherefore, triangles &c. QED PROPOSITION 38. THEOREM. Triangles on equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DEF be on equal bases BC, EF, and between the same parallels BF, AD : the triangle... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...EBCF. Wherefore, parallelograms on the same base &c. QBD 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 BC, FG, and between the same parallels AH, BG : the... | |
 | Robert Potts - 1868 - 434 pages
...parallelogram-KBCR 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, EFGHbe parallelograms upon equal bases BC, FG, and between the same parallels AH, BG. ADEH... | |
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Triangles upon equal bases, and between the same parallels, are equal to one another. 
