 | Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...be shewn that AB is not less than AC; .: AB = AC. QED NOTE XIII. Euclid's Prop. VII. of Book I. 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 their... | |
 | Euclid, Charles Peter MASON - 1872 - 216 σελίδες
...supposition which led to this impossibility must be absurd. That is, it is absurd to suppose that, on the same base, and on the same side of it, there can be two As, having the sides terminating in one extremity of the base equal to one another, and... | |
 | Lewis Sergeant - 1873 - 182 σελίδες
...— Hence it follows that an equiangular triangle is also equilateral. Proposition 13. — Theorem. On the same base, and on the same side of it, there cannot be two triangles having tlie sides terminated by one extremity of the base equal, and also the sides terminated by the other... | |
 | Henry Major - 1873 - 592 σελίδες
...on the same side of it, there cannot he 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, ADB,... | |
 | Euclides - 1874 - 342 σελίδες
...angles, &c. QED Cor. Hence an equiangular triangle is also equilateral. PROPOSITION 7. — 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... | |
 | Henry Evers - 1874 - 216 σελίδες
...figure that cannot alter its form without altering the length of its sides. It is Euclid I., 7. " Upon the same base, and on the same side of it, there cannot be two triangles which have their two sides terminated in one extremity on the base equal, and likewise those terminated... | |
 | Edward Atkins - 1874 - 424 σελίδες
...COROLLARY. — Hence every equiangular triangle is also equilateral. Proposition 7. — 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... | |
 | Euclides - 1874 - 120 σελίδες
...sides BA, CA do not coincide with the sides ED, FD, but have a different situation as EG, FG; then on the same base and on the same side of it there will be two triangles having their sides which are terminated in one extremity of the base equal to... | |
 | Richard Wormell - 1876 - 268 σελίδες
...28 3. From the greater of two given straight lines to cut off a part equal to the less. 28 7. Upon the same base and on the same side of it, there cannot be two triangles that have their sides terminated in one extremity of the base equal to one another, and likewise those... | |
 | Henry Major - 1876 - 784 σελίδες
...From its provisions show what were the chief abuses of the Government under the Plantagenets ? 1. 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... | |
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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. 
