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" IF two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base of that which has... "
Euclid's Elements [book 1-6] with corrections, by J.R. Young - Page 30
by Euclides - 1838
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...each, but the angle contained by the two sides of one of them, greater than the angle contained by the two sides equal to them, of the other ; the base...angle shall be greater than the base of the other. Of the sides DE, DF, let DE > DF, at D in the str. line DE, make \ DG=ACorDF; Props, (ZEDG=ZBAC, Prop.ss....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...but the angle contained by the two sides of the one greater than the angle contained by the two sides of the other ; the base of that which has the greater...angle shall be greater than the base of the other. DF; but the angle BAC greater than the angle EDF ; the base BC is also greater than the base EF. Of...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...shall the other sides be equal, each to each, and also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles, which have the angles ABC, ACB, equal to the angles DEF, DFE, each to each, viz. ABC to DEF, and ACB to DFE, and have...
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The Solutions of the Geometrical Problems: Consisting Chiefly of Examples in ...

Thomas Gaskin - Geometry, Analytic - 1847 - 301 pages
...each to each, but the angle contained by two sides of one of them greater than the angle contained by the two sides equal to them of the other, the base...angle shall be greater than the base of the other. 2. Define duplicate ratio, and prove that similar triangles have to one another the duplicate ratio...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
...to each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides, equal to them, of the other, the base...angle shall be greater than the base of the other. PART. ENUN. — Let ABC, DEF be two triangles, which have the two sides AB, AC = to the two sides DE,...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...to each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base...angle, shall be greater than the base of the other. PROP. XXV. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each...
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Report of the Committee of Council on Education (England and Wales ..., Issue 2

Great Britain. Council on Education - Education - 1848 - 596 pages
...each to each, but the angle contained by the two sides of the one greater than the angle contained by the two sides equal to them of the other ; the base...angle shall be greater than the base of the other. 3. In every triangle the square of the side subtending either of the acute angles is less than tbe...
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Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volume 2

Great Britain. Committee on Education - 1848 - 606 pages
...each to each, but the angle contained by the two sides of the one greater than the angle contained by the two sides equal to them of the other ; the base...angle shall be greater than the base of the other. 3. In every triangle the square of the side subtending either of the acute angles is less than the...
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 pages
...each to each, but the angle contained by the two sides of the one greater than the angle contained by the two sides equal to them of the other; the base...angle shall be greater than the base of the other. 3. In every triangle the square of the side subtending either of the acute angles is less than the...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...shall the other sides be equal each to each : and also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. ABC to DEF, and BCA to EFD; also one side equal...
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