EF at right angles (9. 1.) to AB, AC ; DF, EF produced meet one another : for, if they do not meet, they are parallel, wherefore AB, AC, which are at right angles to them, are parallel ; which is absurd : let them meet in F, and join FA ; also, if the... Books 3-9 - Page 90by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book
| Robert Simson, Euclid - Trigonometry - 1762 - 466 pages
...DF, EF at right angles b to AB, AC; DF, EF produced meet one A f. *. i. another. for if they do net **meet they are parallel, wherefore AB, AC which are at right angles to them are parallel** ; which is abfurd. let them meet in F, and join FA ; alfo, if the point F be not in BC, join BF, CF,... | |
| Robert Simson - Trigonometry - 1775 - 520 pages
...AB, AC in the points D, E, and from thefe points dra.w DF, EF at right angles b to AB, AC ; DF, EF **produced meet one another: For, if they do not meet,...parallel, wherefore AB, AC, which are at right angles to** th, m, are parallel, which is abfurd : Let them mceun F and jo.n FA ; a is equal to FC: and FA, FB,... | |
| Euclid, Robert Simson - Geometry - 1781 - 466 pages
...and from thefe points b. ii. i. draw DF, EF at right angles "> to AB, AC ; DF, EF produced e. 4. i. **meet one another. for if they do not meet they are...AC which are at right angles to them are parallel** j which is abfurd. let them meet in F, and join FA ; alfo, if the point F be not in BC, join BF, CF.... | |
| Euclid - 1781 - 520 pages
...in the points D, E, and from thefe points aw DF, EF at right angles" to AB, AC; DF, EF produced draw **meet one another : For, if they do not meet, they...AC, which are at right angles to them, are parallel** ; which is abfurd : Let them meet in F, and join FA ; alfo, if the point F be not in BC, join BF, CF... | |
| John Playfair - Euclid's Elements - 1795 - 400 pages
...in the points D, E, and from thefe points b ii. i. draw DF, EF at right anglesb to AB, AC ; DF, EF **produced meet one another ; for, if they do not meet,...AC, which are at right angles to them, are parallel,** which is abfurd : Let them meet in F, and join FA, alfo, if the point F be not in BC, join BF, CF:... | |
| John Playfair - Euclid's Elements - 1804 - 440 pages
...points D, E, and from thefe point; b ni draw DF, EF at right angles b to AB, AC ; DF, EF produced will **meet one another ; for, if they do not meet, they...AC, which are at right angles to them, are parallel,** which is abfurd : Let them meet in F, and join FA; alfo, if the point F be not in BC, join BF, CF :... | |
| Robert Simson - Trigonometry - 1804
...and from thefe points b. ii. i. <lraw DF, EF at right angles b to AB, AC; DF, EF produced c. 4. i. **meet one another, for if they do not meet they are...AC which are at right angles to them are parallel;** which is abfurd. let them meet in F, and join FA ; alfo, if the point F be not in BC, join BF, CF.... | |
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...from these points b 11. i. draw DF, EF at right angles •> to AB, AC ; DF, EF produced CB 0.4.1meet **one another: for, if they do not meet, they are parallel,...AC, which are at right angles to them, are parallel** ; which is absurd : let them meet in F, and join FA ; also, if the point F be not in BC, join BF, CF... | |
| John Playfair - Euclid's Elements - 1806 - 311 pages
...points b 11. 1. draw DF, EF at right angles*1 to AB, AC ; then DF, EF produced will meet each other ; **for, if they do not meet, they are parallel ; wherefore...which are at right angles to them, are parallel*,** which is absurd. Let them meet in F, and join FA ; and, if the point F be not in BC, join BF, CF. Because... | |
| Euclides - 1814
...AC, in the points D, E, and from these points Mi. i. draw DF, EF at right angles b to AB, AC; DF, EF, **produced meet one another : For, if they do not meet,...AC, which are at right angles to them, are parallel;** which is absurd : Let them meet in F, and join FA; also if the point F be not in BC, join BF, CF: Then,... | |
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