 | Euclid, Thomas Tate - 1849 - 120 σελίδες
...ABC is equal to the triangle DBC. Wherefore triangles, &c. QED PROP. XXXVni. THEOR. 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... | |
 | Great Britain. Committee on Education - 1850 - 942 σελίδες
...multiple, similar rectilineal figures, and duplicate ratio. 2. Prove Euc. I. 36. Parallelograms upon equal bases, and between the same parallels, are equal to one another. 3. Solve Euc. II. 11. To divide a given finite straight line into two parts, so that the rectangle... | |
 | Sir Henry Edward Landor Thuillier - 1851 - 826 σελίδες
...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... | |
 | 1867 - 336 σελίδες
...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... | |
 | Harvey Goodwin - 1851 - 196 σελίδες
...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... | |
 | Francis James Jameson - 1851 - 144 σελίδες
...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 σελίδες
...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 - 146 σελίδες
...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... | |
 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...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 - 176 σελίδες
...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... | |
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Triangles upon equal bases, and between the same parallels, are equal to one another. 
