 | Sir Henry Edward Landor Thuillier - 1851 - 826 páginas
...manner we may prove the parallelogram EFHG = BDEF. Therefore ABDC = BDEF = EFHG. QED Cor. Triangles on the same or equal bases and between the same parallels, are equal, seeing (by Cor. 2. Theo. 11.) they are the halves of their respective parallelograms. THEO. XIII. In... | |
 | Harvey Goodwin - 1851 - 196 páginas
...MA, Trinity College. JOHN SYKES, MA, Pembroke College. TUESDAY. Dec. 31. 9. ..12. 1. TRIANGLES upon equal bases and between the same parallels are equal to one another. Let ABC, ABD be two equal triangles upon the same base AB and on opposite sides of it ; join CD meeting... | |
 | 1867 - 336 páginas
...vertices of all equal triangles ou the same base and on the same lide of it. 3. Parallelograms upon equal bases, and between the same parallels, are equal to one another. Trisect a parallelogram by lines drawn from a givtu point in one of its sides. SECTION IV. 1. Eqnal... | |
 | Francis James Jameson - 1851 - 144 páginas
...CED, two angles are equal and AB = DC, therefore EB - ED. Therefore the triangles BCE, ECD, being upon equal bases and between the same parallels,* are equal to one another. Hence AECD - ABCE - ABEA = AAED. 1851. (A]. Triangles upon equal bases and between the same parallels... | |
 | Euclides - 1852 - 152 páginas
...EBCF. Therefore parallelograms upon the same base, &c. QED PROP. XXXVI. THEOR. Parallelograms upon equal bases, and between the same parallels, are equal to one another. Let ABCD, EFGH be parallelograms upon equal bases EC, FG, and between the same parallels AH, EG; the... | |
 | Euclides - 1853 - 176 páginas
...to the triangle dbc. Wherefore triangles, &c. QED PROPOSITION XXXVIII. — THEOREM. Triangles upon equal bases, and between the same parallels, are equal to one another. LET the triangles a bc, def be upon equal bases bc, ef, and between the same parallels bf, ad. Tlle... | |
 | Royal Military Academy, Woolwich - 1853 - 400 páginas
...Therefore parallelograms upon the same base, etc. QED PROPOSITION XXXVI. THEOR. Parallelograms upon equal bases, and between the same parallels, are equal to one another. Let ABCD, EFGH be parallelograms upon equal bases BC, FG, and between the same parallels AH, BG : the... | |
 | Euclides - 1853 - 146 páginas
...equal to the triangle DBC. Wherefore, triangles, &c. QED PROP. XXXVIII. — 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. The... | |
 | Thomas Lund - 1854 - 520 páginas
...things must themselves be equal; .'. the triangle BCD = the triangle FGH ' that is, all triangles upon the same, or equal bases, and ' between the same parallels', are equal to one another. * ' Parallelogram ' being a long word, when it occurs frequently, it is allowable to abridge it thus,... | |
 | Euclides - 1855 - 270 páginas
...sides, he could reduce it, by degrees, to an equivalent triangle. PROP. XXXVIII. THEOREM. Triangles upon equal bases, and between the same parallels, are equal to one another. Let the triangles ABС, DEF, he upon equal bases B С, EF, and between the same parallels BF, 'A D.... | |
| |
Triangles upon equal bases, and between the same parallels, are equal to one another. 
