 | Robert Simson - 1762 - 488 σελίδες
...their fides which are termiuated in one extremity of the bafe equal to one another, and likewife thofe which are terminated in the other extremity. QED PROP. VIII. THEOR, IF two triangles have two fides of the one equal to two fides of the other, each to each, and have likewife their bales equal;... | |
 | Robert Simson - 1806 - 546 σελίδες
...different 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...extremity of the base equal to one another, and likewise their sides terminated in the other extremity ; but this is impossible»; therefore, if the base BC... | |
 | John Playfair - 1806 - 320 σελίδες
...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 - 1810 - 554 σελίδες
...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...those which are terminated in the other extremity. .. If it be possible, let there be two triangles ACB, ADB, upon the same base AB, and upon the same... | |
 | John Mason Good - 1813 - 714 σελίδες
...equal angles, shall be equal to one another. Prop. VII. Theor. Upon the same base, and on the same side of it, there cannot be two triangles that have their...those which are terminated in the other extremity. Prop. VIII. Theor. If two triangles have two sides of the one equal to two sidfs of the other, each... | |
 | Euclides - 1814 - 560 σελίδες
...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...those which are terminated in the other extremity. If it be possible, let there be two triangles ACB, ADB, upon the same base AB, and upon the same side... | |
 | Euclides - 1816 - 588 σελίδες
...• ent 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...extremity of the base equal to one another, and likewise their sides terminated in the other extremity: But this is impossible*; • 71 1. therefore, if the... | |
 | John Playfair - 1819 - 350 σελίδες
...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...those which are terminated in the other extremity, equal to one another. Let there be two triangles ACB, ADB, upon the same base AB, and upon the same... | |
 | John Playfair - 1819 - 354 σελίδες
...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 another, and likewise their sides terminated in the other extremity ; but this is impossible (7. 1.) ; therefore, if the... | |
 | Euclid, Robert Simson - 1821 - 514 σελίδες
...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...one another, and likewise those which are terminated in'the other extremity: QED PROP. VIII. THEOR. IF two triangles have two sides of the one equal to... | |
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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. 
