 | Harvey Goodwin - 1851 - 196 pagina’s
...LEWIS HENSLEY, 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 pagina’s
...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 are equal to one another, (i. 38.) (E). Let ABC, ABD be two equal triangles upon the same base AB, and on opposite sides of it... | |
 | 1867 - 336 pagina’s
...the 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... | |
 | Sir Henry Edward Landor Thuillier - 1851 - 826 pagina’s
...proved that ABCD being a parallelogram, AB = CD and AD =BC. THEO. XII. All parallelograms on the same or equal bases and between the same parallels are equal to one another, that is if BD — GH, and the lines BH and AF are parallel, then the paralellogram ABD C = BDFE = EFGH.... | |
 | Euclides - 1852 - 152 pagina’s
...parallelogram 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 parallelogram... | |
 | Royal Military Academy, Woolwich - 1853 - 400 pagina’s
...EBCF. 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 parallelogram... | |
 | Euclides - 1853 - 146 pagina’s
...parallelogram EBCF. Therefore parallelograms upon the same base, &c. aED PROP. XXXVI. THEOREM. 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 parallelogram... | |
 | Euclides - 1853 - 176 pagina’s
...Therefore parallelograms upon the same base, &c. QED PROPOSITION XXXVI. — THEOREM. Parallelograms upon equal bases, and between the same parallels, are equal to one anotJier. a de ЬЕТ abСd, efgh, be parallelograms upon equal bases bС, fg, and between the same... | |
 | Thomas Lund - 1854 - 520 pagina’s
...is contained in AB, and BEFC into as many as the unit is contained in BE. Then since parallelograms upon equal bases and between the same parallels are equal to one another (41 Cor. 1), the smaller parallelograms which make up ABCD, and BEFC, are all equal. Therefore the... | |
 | Euclides - 1855 - 270 pagina’s
...base and on the same side of it, are between the same parallels. PROP. XXXVL THEOREM. Parallelograms upon equal bases and between the same parallels, are equal to one another. Let AC, EG be parallelograms upon equal bases BC, FG, and between the same parallels AH, BG. The parallelogram... | |
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Parallelograms upon equal bases, and between the same parallels, are equal to one another. 
