 | Robert Simson - 1806 - 546 sider
...in which the vertex of one triangle is upon a side of the other, needs no demonstration. Therefore upon the same base, and on the same side of it, there...triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other... | |
 | John Playfair - 1806 - 320 sider
...in which the vertex of one triangle is upon a side of the other, needs no demonstration. Therefore, upon the same base, and on the same side of it, there...triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other... | |
 | Euclid - 1810 - 554 sider
...if two angles, &c. QED CoR. Hence every equiangular triangle is also equilateral. PROP. VII. THEOR. UPON the same base, and on the same side of it, there cannot be two triangles that have their sides see which are terminated in one extremity of the base equal to one another, and likewise those which... | |
 | John Mason Good - 1813 - 714 sider
...which subtend, or arc. opposite to» the equal angles, shall be equal to one another. Prop. VII. Theor. Upon the same base, and on the same side of it, there...triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other... | |
 | Euclides - 1814 - 560 sider
...equiangular triangle is also equilateral. PROP. VII. THEOR. UP0N the same base, and on the same side of 5 it, there cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other... | |
 | Charles Butler - 1814 - 528 sider
..." for if -4EB do not coincide with CFD, it must fall otherwise (as in the figure to prop. 23.) then upon the same base, and on the same side of it, there will be two similar segments of circles not coinciding with one another, but this has been shewn (in... | |
 | Euclides - 1816 - 588 sider
...in which the vertex of one triangle is upon a side of the other, needs no demonstration. Therefore, upon the same base, and on the same side of it, there...triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other... | |
 | John Playfair - 1819 - 354 sider
...two angles, &c. QED II C COR. Hence every equiangular triangle is also equilateral. PROP. VII. THEOR. Upon the. same base, and on the same side of it, there caitnot be two triangles, that have their sides which are terminated in one extremity of the base equal... | |
 | Euclid, Robert Simson - 1821 - 514 sider
...triangle is upon a side of the other, needs no demonstration. "** Therefore upon the same base, and^on the same side of it, there cannot be two triangles that have; their sides which are terminated in one extremity of the base, equal to one another, and likewise those which are terminated in'the... | |
 | Euclides - 1821 - 294 sider
...every equiangular triangle is equilateral ; vide, Elrington. PROP. 7. THEOR. i On the same right line and on the same side of it there cannot be two triangles formed whose conterminous sides are equal. If it be possible that there can, 1st, let the vertex of... | |
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Upon the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity. 
