 | Euclides - 1865 - 80 pages
...(Ax. 7) the triangle ABC is equal to the triangle FCB. PROPOSITION XLV. THEOR. Parallelograms upon equal bases and between the same parallels are equal to one another. Let ABCD, EFGH be two parallelograms on equal bases BC, FG, and between the same parallels AH, BG,... | |
 | Euclides - 1865 - 402 pages
...equal to the triangle BBC. Wherefore, triangles, &c. QED PROP. XXXVIII.— THEOREM. Triangles upon equal bases and between the same parallels are equal to one another. (References — Prop. I. 31, 34, 36 ; ax. 7.) Let the triangles ABC, DEF, be on the equal bases BC,... | |
 | 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... | |
 | 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... | |
 | Education - 1868 - 516 pages
...this, if it is your case. See if you can make an affidavit, of your own knowledge, that triangles upon equal bases and between the same parallels are equal to one another, and that any two sides of a triangle are together greater than the third side ; and so on with all... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1869 - 528 pages
...4 feet 4 inches, and two windows, each 6 feet by 3 feet 2 inches. 3. Prove that parallelograms upon equal bases and between the same parallels are equal to one another. 4. It is required to describe a square equal to a given rectilineal figure. 5. The squares of the diagonals... | |
 | General Medical Council (Great Britain) - 1869 - 402 pages
...the amount of the bill? EUCLID AND ALGEBRA. 1. Bisect a given straight line. 2. Parallelograms upon equal bases and between the same parallels are equal to one another. 3. The angle at the centre of a circle is double of the angle at the circumference upon the same base.... | |
 | Henry Raper - 1870 - 968 pages
...half of AB EF, is equal to half ABCD, or the parallelogram is double of the triangle. COR. Triangles on the same or equal bases, and between the same parallels are equal. For parallelograms under these two conditions are, by No. 133, and Cor., equal, and the triangles being... | |
 | Thomas Fowler - Logic - 1870 - 372 pages
...is derived from, or is the total result of, the previous deductions (i) that ' Parallelograms upon equal bases, and between the same parallels, are equal to one another,' (2) that 'Triangles formed by the diagonal of a parallelogram are each of them equal to half the parallelogram'... | |
 | Edinburgh univ - 1871 - 392 pages
...and 2 doors, each 9 feet by four, with paper I £ yards wide, at 5jd. a yard. 4. Parallelograms upon equal bases and between the same parallels are equal to one another. Prove this ; and modify the enunciation, so as to extend it to the case where the parallelograms are... | |
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Triangles upon equal bases, and between the same parallels, are equal to one another. 
