| Robert Simson - Trigonometry - 1806 - 518 pages
...PROP. VII. THEOR. UPON the same base, and on the same side of it, See N 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. If it be possible, let there be two triangles ACB,... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...and FG; then, upon the same base EF, and upon the same side of it, there can be two triangles EDF, **EGF, that have their sides which are terminated in one extremity of the base equal to one** Book I. another, and likewise their sides terminated in the other \^f>fn^ extremity : but this is impossible*... | |
| Euclid - Geometry - 1810 - 518 pages
...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 are terminated in the other extremity. .. If it be possible, let there be two triangles... | |
| John Mason Good - 1813 - 722 pages
...another. Prop. VII. Theor. 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. Prop. VIII. Theor. If two triangles have two sides... | |
| Euclides - 1814 - 558 pages
...situation as EG, FG, then, upon the same base EF, and upon the same side of it, there can' be two triangles **that have their sides which are terminated in one...sides terminated in the other extremity: But this is** impossible3; • 7. i. therefore, if the base BC coincides with the base EF, the sides BA, AC cannot... | |
| Euclides - 1816 - 528 pages
...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 other extremity. QED PROP. VIII. THEOR. If two triangles have two... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...and FG ; then, upon the same base EF, and upon the same side of it, there can be two triangles EDF, **EGF, that have their sides which are terminated in...terminated in the other extremity ; but this is impossible** (7. 1.) ; therefore, if the base BC coincides with the base EF, the sides BA, AC cannot but coincide... | |
| John Playfair - 1819 - 317 pages
...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 teminated in the other extremity equal to one another Q,ED PROP. VIlI. THEOR. If two... | |
| Euclid, Robert Simson - Geometry - 1821 - 514 pages
...situation, as EG, FG ; then upon the same base EF, and upon the same side of it, there can be two triangles **that have their sides which are terminated in one...base equal to one another, and likewise their sides** ternanated in the other extremity; but this is impossible; (7. 1,) therefore, if the base BC coincides... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...Proposition Vll. Theorem. 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. If it be possible, let there be two triangles ACB... | |
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