 | Eucleides - 1860 - 396 sider
...bases, then, because the perpendiculars are both equal and parallel to one another (a), W J' gf • 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.... | |
 | Euclides - 1860 - 288 sider
...that triangles and parallelograms that have equal altitudes are one to another as their bases. For, if the figures be placed so as to have their bases in the same straight line, then the straight line which joins the vertices is parallel to that in which their bases are (I. 81,... | |
 | Euclides - 1864 - 448 sider
...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 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... | |
 | Euclides - 1865 - 402 sider
...that triangles and parallelograms that have equal altitudes, are to one another as their bases. For, 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... | |
 | Robert Potts - 1865 - 528 sider
...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 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, Isaac Todhunter - 1867 - 424 sider
...and having drawn perpendiculars from the vortices of the triangles to the bases, the straight lino which joins the vertices is parallel to that in which...their bases are ; [I. 33. because the perpendiculars arc both equal and parallel to one another. [I. 28. Then, if the same construction be made as in the... | |
 | Euclid, Isaac Todhunter - 1867 - 426 sider
...that triangles and parallelograms which have equal altitudes, are to one another as their bases. For, let the figures be placed so as to have their bases in the same straight line, and to be on the same side of it ; and having drawn perpendiculars from the vertices of the triangles to... | |
 | Robert Potts - 1868 - 434 sider
...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 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... | |
 | Euclides, James Hamblin Smith - 1872 - 376 sider
...COR. II. 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...vertices, is parallel to that, in which their bases are, because the perpendiculars are both equal and parallel to one another. I. 33. Then, if the same construction... | |
 | Euclides - 1874 - 342 sider
...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 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... | |
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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... 
