 | William Walton - 1864 - 234 pagina’s
..." 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... | |
 | Euclides - 1865 - 402 pagina’s
...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,... | |
 | Euclides - 1865 - 80 pagina’s
...(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,... | |
 | Robert Potts - 1865 - 528 pagina’s
...CF. 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... | |
 | Euclid, Isaac Todhunter - 1867 - 426 pagina’s
...the triangle 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 - 1867 - 424 pagina’s
...parallelogram 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 pagina’s
...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... | |
 | 1868 - 516 pagina’s
...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... | |
 | General Medical Council (Great Britain) - 1869 - 402 pagina’s
...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.... | |
 | Great Britain. Parliament. House of Commons - 1869 - 528 pagina’s
...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... | |
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Triangles upon equal bases, and between the same parallels, are equal to one another. 
