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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. "
Five Years in an English University - Σελίδα 348
των Charles Astor Bristed - 1852
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The Civil service year book and official calendar

1884 - 266 σελίδες
...and VI., with the Definitions of Book V.) (Optional.) Time allowed, 2 hours.—(Including Reading.)* 1. Upon the same base and on the same side of it, there cannot be two * A passage (not printed here), occupying about 20 lines of an ordinary reading book, was set in this...

The Elements of Plane and Solid Geometry

Henry William Watson - 1884 - 320 σελίδες
...greater than AB + CD. But AE+CE is equal to AC, and EB + ED is equal to DB, '|L~ 7 PROPOSITION 4. £5to# the same base and on the same side of it there cannot be two triangles having the two sides terminated in one extremity of the base equal to each other, and at the same time...

The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 σελίδες
...angle BA C is equal to the angle EDF. Axiom 8. Therefore if two triangles dtc. QED Proposition VII. 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...

An introduction to geometry, consisting of Euclid's Elements, book ..., Τόμος 1

Euclides - 1884 - 182 σελίδες
...pair. (Join A,B,C,Dto the centre, and use I. 5 four times.) SECTION II. PROPOSITIONS 7—12. VI. 1 . If upon the same base and on the same side of it there be two triangles, and one of them be equilateral, prove that the other is not equilateral. 2. In equal...

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 σελίδες
...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...

Questions on Psychology, Metaphysics, and Ethics

Frederick Ryland - 1887 - 168 σελίδες
...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....

Annual Report

Canada. Department of the Interior - 1888 - 756 σελίδες
...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...are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity. 2. Describe a parallelogram...

Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 356 σελίδες
...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...

The Irish Law Times and Solicitors' Journal, Τόμος 24

1890 - 958 σελίδες
...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...

The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 σελίδες
...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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