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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, equal to one another. "
Examination papers used at the examinations for direct commissions [&c.]. - Page 12
by War office - 1861 - 12 pages
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885 - 652 pages
...EUCLID. (A) 1. DEFINE a plane superficies, a rhombus, a segment of a circle, and compound ratio. 2. On the same base, 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...
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Questions on Psychology, Metaphysics, and Ethics

Frederick Ryland - 1887 - 168 pages
...condition of our obtaining this notion ? Cambridge, Tripos, 1876. 677. Upon the same base, and upon the same side of it, there cannot be two triangles that have their sides terminated in one extremity of the base equal, and likewise those terminated in the other extremity....
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Annual Report

Canada. Department of the Interior - 1888 - 756 pages
...circumstances ? Class 1— Euclid. Time, £ J hours, REV- D- GILLIES, BA ME. THOMAS GBoVia, BA 1. Show that upon the same base, and on the same side of it, there...those which are terminated in the other extremity. 2. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 350 pages
...employed, but the method of proof must be geometrical. Great importance will be attached to accuracy.] 1. Upon the same base and on the same side of it there cannot be two triangles which have their sides that are terminated at each extremity of the base equal to one another. 2. If...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...is the point where BG cuts CF, BH is equal to HC. Also FH is equal to HQ. PROPOSITION 7. THEOREM. On the same base and on the same side of it there cannot be two triangles having their sides, which are terminated in one extremity of the base equal to one another, and likewise...
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The Irish Law Times and Solicitors' Journal, Volume 24

1890 - 960 pages
...dialogue in which occurs— "Like the poor oat i' the adage,*' SPCOND PAPER. EUCLID. 1. Prove that on the same base and on the same side of it there cannot be two triangles having the sides terminated at one end of the base equal, and also the sides terminated at the other...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 442 pages
...So that the As come under the conditions of i. 4. .-. A BAG = A BDC. Proposition 7. THEOREM — On the same base and on the same side of it there cannot be two triangles having tlte sides terminated at one end of the base equal, and also the sides terminated at the other...
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The Educational Record of the Province of Quebec: The Medium ..., Volume 11

1891 - 442 pages
...of the propositions referred to. 3. Give the enunciation, construction and proof of proposition VII. "Upon the same base and on the same side of it there cannot be two triangles," &c. SECTION II. 4. Draw the figures of the propositions II. and XI. in both books. 5. Prove that the...
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A Text-book of Geometrical Deductions

James Andrew Blaikie, William Thomson - 1891 - 154 pages
...opposite to them shall also be equal. Cor.— Every equiangular triangle is also equilateral. 7. On the same base, and on the same side of it, there cannot be two triangles having the sides which are terminated at one end of the base equal and also those which are terminated...
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Rider Papers on Euclid (books I. and II.)

1891 - 102 pages
...sides also which subtend, or are opposite to the equal angles, shall be equal to one another. 7. On the same base and on the same side of it there cannot be two triangles having their sides, which are terminated in one extremity of the base, equal to one another, and likewise...
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