 | Euclid, Isaac Todhunter - 1867 - 426 Seiten
...to one another, and likewise those which are terminated at the other extremity. If it be possible, on the same base AB, and on the same side of it, let there be two triangles ACB, £ B ADB, having their sides CA, DA, which are terminated at the extremity... | |
 | Robert Potts - 1868 - 434 Seiten
...bisection of the base parallel to the two sides of the triangle. 108. This may be shewn ex absuido. 109. On the same base AB, and on the same side of...than ABD, whether the angle ABD be acute or obtuse. base BC ia bisected in D : let any line EDG be drawn- through 1), meeting AC the greater side in G... | |
 | James Maurice Wilson - 1868 - 132 Seiten
...the triangles ABC, ABD be equivalent triangles on equal bases, and let them be conceived as placed on the same base AB, and on the same side of it. Then shall their altitudes be equal, that is, CD will be parallel to AB. For if CD were not parallel... | |
 | Euclides - 1871 - 136 Seiten
...other side of the base be equal, shew that the triangle is isosceles. II. ABC, ABD are two triangles on the same base AB and on the same side of it, the vertex of each triangle being outside the other. If AC -= AD, shew that BC cannot =BD. 12. From... | |
 | Euclides, James Hamblin Smith - 1872 - 376 Seiten
...other side of the base be equal, shew that the triangle is isosceles. 11. ABC, ABD are two triangles on the same base AB and on the same side of it, the vertex of each triangle being outside the other. If AC= AD, shew that BC cannot = BD. 12. From... | |
 | Euclid, Charles Peter Mason - 1872 - 216 Seiten
...the base are likewise equal (Prop. V.). c D Let us suppose that there could be two As ACB and ADB, on the same base AB, and on the same side of it, and such that AC and AD are - _» equai to one anot}ier, and also BC and BD equal to one another.*... | |
 | Euclides - 1874 - 120 Seiten
...to one another, and likewise those which are terminated in the other extremity. j If it be possible, on the ' • same base AB, and on the same side of it, let there be two triangles A CB, ADB, which have their sides CA, DA, terminated in the extremity A of the... | |
 | Robert Potts - 1876 - 446 Seiten
...bisection of the base parallel to the two sides of the triangle. 108. This may be shewn ex absurdo. 1 09. On the same base AB, and on the same side of it, let...constructed, having the side BD equal to BC, the angle ABC aright angle, but the angle ABU not a right angle; then the triangle ABC is greater than ABD, whether... | |
 | George Albert Wentworth - 1877 - 436 Seiten
...Substitute for EC its equal E B. Then AE+ EB> AC, or AB > A C. QED Ex. ABC and AB D are two triangles on the same base AB, and on the same side of it, the vertex of each triangle being without the other. If AC equal AD, show that B С cannot equal B... | |
 | Euclides - 1877 - 58 Seiten
...one another, and likewise those which are terminated in the other extremity. If it be possible, upon the same base AB, and on the same side of it, let there be two triangles ACB, ADB having their sides CA, DA, which are terminated in one extremity A... | |
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On the same base, and on the same side of it, there cannot be two triangles... 
