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 Books Bücher 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 - Seite 30
von Euclides - 1838
Vollansicht - Über dieses Buch The Elements of Geometry, Symbolically Arranged

...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....
Vollansicht - Über dieses Buch Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 Seiten
...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...
Vollansicht - Über dieses Buch The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...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...
Vollansicht - Über dieses Buch THE SOLUTIONS OF GEOMETRICAL PROBLEMS

...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...
Vollansicht - Über dieses Buch The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847
...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,...
Vollansicht - Über dieses Buch The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...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...
Vollansicht - Über dieses Buch Report of the Committee of Council on Education (England and ..., Ausgabe 2

...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...
Vollansicht - Über dieses Buch Minutes of the Committee of Council on Education, with Appendices, Band 2

...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...
Vollansicht - Über dieses Buch Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848
...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...
Vollansicht - Über dieses Buch The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 108 Seiten
...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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