 | William Walton - Mathematics - 1864 - 234 pages
...AB is "sq. on AB," and for the rectangle contained by AB and CD, " the rect. AB, CD." l. TKIANGLES 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... | |
 | Euclides - 1865 - 402 pages
...Parallelograms upon the same base, and between the same paral' k-ls. are equal to one another. Prop. 36. Parallelograms upon equal bases, and between the same parallels, are equal to one another. Prop. 37. Triangles upon the same base, and between the same parallels, are equal to one another. Prop.... | |
 | Robert Potts - 1865 - 528 pages
...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 the... | |
 | Euclides - 1865 - 80 pages
...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... | |
 | 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 parallelogram ABCD... | |
 | 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
...the 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 Join BE,... | |
 | Education - 1868 - 516 pages
...at 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
...deducting fire-place of 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
...is 1800Z.: what is 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.... | |
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Triangles upon equal bases, and between the same parallels, are equal to one another. 
