 | Euclides - 1841 - 378 σελίδες
...plain, that triangles and parallelograms that have equal altitudes, are one to another as their bases. Let the figures be placed so as to have their bases...vertices is parallel to that in which their bases are,* because the perpen- * 33. I diciilars are both equal and parallel* to one another. * 23.1 Then, if... | |
 | John Playfair - 1842 - 332 σελίδες
...plain, that triangles and parallelograms that have equal altitudes, are to one another as their bases. Let the figures be placed so as to have their bases...perpendiculars from the vertices of the triangles to the bases, thes straight line which joins the vertices is parallel to that in which their bases are (33. 1.),... | |
 | Euclides - 1845 - 546 σελίδες
...plain, that triangles and parallelograms^ that have equal altitudes, are one to another as their bases. Let the figures be placed so as to have their bases...perpendiculars are both equal and parallel to one another, (i. 28.) Then, if the same construction be made as in the proposition, the demonstration will be the... | |
 | Euclid - 1845 - 218 σελίδες
...plain, that triangles and parallelograms that have equal altitudes, are one to another as their bases. Let the figures be placed so as to have their bases...vertices is parallel to that in which their bases aref, because the perpendiculars are both equal and t 33. i. parallel J to one another. Then, if the... | |
 | Euclid, James Thomson - 1845 - 382 σελίδες
...figures be placed so as to have their bases La the same straight line ; and perpendiculars being drawn from the vertices of the triangles to the bases, the...straight line which joins the vertices Is parallel (I. 33) to that in which their bases are, because the perpendiculars are both equal and parallel to... | |
 | Euclides - 1853 - 176 σελίδες
...plain, that triangles and parallelograms that have equal altitudes are one to another as their bases. Let the figures be placed so as to have their bases...perpendiculars are both equal and parallel to one another. Then, if the same construction be made as in the proposition, the demonstration will be the same. PROPOSITION... | |
 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...plain, that triangles and parallelograms that have equal altitudes, are one to another as their bases. Let the figures be placed so as to have their bases...vertices is parallel to that in which their bases are (33. i.), because the perpendiculars are both equal and parallel (28. i.) to one another. Then, if... | |
 | Euclides - 1855 - 270 σελίδες
...plain, that triangles and parallelograms that have equal altitudes, are to one another as their bases. Let the figures be placed so as to have their bases...line which joins the vertices is parallel to that m which their bases are (I. 33), because the perpendiculars are both equal and parallel to one another... | |
 | Euclides - 1855 - 230 σελίδες
...bases, then, because the perpen- . diculars are both equal and parallel to one another (a), > jV J" J£ the straight line which joins the vertices is parallel to that in which their bases are (b). Then, if the same construction be made as in the proposition, the demonstration will be identical.... | |
 | Robert Potts - 1860 - 380 σελίδες
...parallelograms that have equal altitudes, are to one another as their bases. Let the figures he placed s' as to have their bases in the same straight line ;...vertices is parallel to that in which their bases are, (l. 33.) because the perpendiculars are both equal and parallel to one another. (l. 28.) Then, if the... | |
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From this it is plain, that triangles and parallelograms that have equal altitudes, are to one another as their bases. Let the figures be placed so as to have their bases in the same straight line; and having drawn perpendiculars from the vertices of... 
