 | 1867 - 964 páginas
...we will proceed to show. The reader will remember that in Problem XXIV (page 308) it was shown that triangles on the same base and between the same parallels are equal to one another, and that triangles on equal bases and between the same parallels are also equal to one another. Now in... | |
 | Robert Simson - 1806 - 546 páginas
...paralkio c 4. 1. gram ACDB into two equal parts. QED PROP. XXXV. THEOR. See N. PARALLELOGRAMS upon the same base, and between the same parallels, are equal to one another. Sue OH- Let the parallelograms ABCD, EBCF be upon the same base 2dand3d BC, and between the same parallels... | |
 | John Playfair - 1806 - 320 páginas
...parallelogram ABCD is equal to EFGH. Wherefore, parallelograms, &c. QED PROP. XXXVII. THEOR. TRIANGLES upon the same base, and between the same parallels, are equal to one another. Let the triangles ABC, DEC be upon the same base BC, and between the same parallels AD, BC; the triangle... | |
 | Robert Gibson - 1806 - 486 páginas
...the bases the perpendicular was taken : since it has been shewn (in cor. to theo. 13, sect. 1.) that triangles on the same base, and between the same parallels are equal : but if you would draw a map from the bases and perpendiculars, it is evident that you must know at... | |
 | Robert Gibson - 1808 - 482 páginas
...the base the perpendicular was taken : since it has been shewn (in cor. to theo. 13. seel. 1.) that triangles on the .same base, and between the same parallels are equal : but if you would draw a map from the bases and perpendiculars, it is evident that you must know at... | |
 | Charles Hutton - 1812 - 620 páginas
...BC, and also parallel ioit(th. 12). q. ED THEOREM XXV. PARALLELOGRAMS, as also Triangles, standing on the Same Base, and between the Same Parallels, are equal to each other. Let E Let ABCD, ABEP, be two parallelograms, and ABC, ABF, two triangles, standing on the... | |
 | John Mason Good - 1813 - 714 páginas
...basis, and between the same parallels, are equal to one another. Prop. XXXVII. Theor. Triangles npon the same base, and between the same parallels, are equal to one another. Prop. XXXVIII. Theor. Triangles upon equal bases, and between the same parallels, are equal to one... | |
 | Dugald Stewart - 1814 - 560 páginas
...I shall only appeal to the thirty-seventh proposition of the Grst book, in which it is proved that triangles on the same base, and between the same parallels, are equal: a theorem which appears, from a very simple construction, to be only a few steps removed from the fourth... | |
 | Euclides - 1816 - 588 páginas
...divides the parallelogram ACDB into two equal" parts. PROP. XXXV. THEOR. , s«eN. PARALLELOGRAMS upon the same base, and between the same parallels, are equal to one another. See the ad Let the parallelograms ABCD, EBCF be upon the same and 3d fi. base BC, and between the same... | |
 | John Playfair - 1819 - 354 páginas
...parallelogram ACDB into two equal parts. Therefore, &c. Q, ED PROP. XXXV. THEOR. Parallelogram* upon the same base and between the same parallels, are equal to one another. vi^(sEE THE 2d AND 3d FIGURDS.) Let the parallelograms ABCD, EBCF be upon the same base BC> and between... | |
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Triangles upon the same base, and between the same parallels, are equal to one another. 
