| 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 - 524 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.... | |
| |