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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. "
Euclid's plane geometry, practically applied; book i, with explanatory notes ... - Side 22
av Euclides - 1863
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An Introduction to General Logic

Emily Elizabeth Constance Jones - 1892 - 316 sider
...logical procedure adopted by Euclid in demonstrating the proposition : ' Upon the same base, and on the same side of it, there cannot be two triangles...the base equal to one another, and likewise those which are terminated in the other extremity.' (C.) 178. Show the precise value and character of historical...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 460 sider
...and on the same side of it, there cannot be two triangles having their sides which are terminated at one extremity of the base equal to one another, and likewise those which are terminated at the other extremity equal to one another. If it be possible, on the same base...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894 - 894 sider
...great ? (10.) 7. On the same base and on the same side of it, there cannot bo two triangles, which have their sides, which are terminated in one extremity...the base, equal to one? another, and likewise those which are terminated in the other extremity. Prove this, when each triangle has its vertex outside...
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Annual Report

1894 - 1136 sider
...the following :— Upon the same base and the same side of it there cannot be two triangles having their sides, which are terminated in one extremity of the base equal to each other. Where do we first meet the expression, " much greater therefore is the angle, etc.," and...
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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Bok 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 sider
...and on the same side of it, there cannot be two triangles having their sides which are terminated at one extremity of the base equal to one another, and likewise those which are terminated at the other extremity equal to one another. If it be possible, on the same base...
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The Romance of the Heavens

Alexander William Bickerton - 1901 - 290 sider
...train hundreds of years to traverse. How are these distances measured ? By a property of the triangle. Upon the same base, and upon the same side of it,...the base equal to one another, and likewise those which are terminated in the other extremity, equal to one another (Euclid, Book 1, proposition vii.)...
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Report of the Committee of Council on Education in Scotland...[without Appendix]

1901 - 808 sider
...drawn figures. 1. On the saine buse and on the same side of it, there cannot be two triangles having their sides which are terminated in one extremity...the base equal to one another, and likewise those which are terminated in the other extremity equal to one 12. another. AB(J and Dili' are two isosceles...
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A Text-book of Euclid's Elements for the Use of Schools, Bok 1

Euclid - 1904 - 488 sider
...and on the same side of it, there cannot be two triangles having their sides which are terminated at one extremity of the base equal to one another, and likewise those which are terminated at the other extremity equal to one another. If it be possible, on the same base...
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Annual Report of the Commissioners ..., Volum 71

1905 - 614 sider
...Ross, Senior Inspector. Mr. J. CHAMBERS, District Inspector. SECTION A. 1. Upon the same base and on the same side of it there cannot be two triangles...the 'base equal to one another, and likewise those which are terminated in the other extremity equal to one another. Prove only the case where the vertex...
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Introduction and books 1,2

Euclid - 1908 - 550 sider
...the same base is really conveyed in the Greek. Simson's enunciation is, Upon the same base, and on the same side of it, there cannot be two triangles...the base equal to one another, and likewise those ••i/huh are terminated at the other extremity. Th. Taylor (the translator of Proclus) attacks 'imson's...
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