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" If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. "
Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ... - Pagina 193
door John Keill - 1782 - 399 pagina’s
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 pagina’s
...that the right angle B pct Comtr. BED is equal to the right angle BFD; the two triangles EBD, FBD have two angles of the one equal to two angles of the other ; and the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 pagina’s
....-. Z BAC > Z EDF. Wherefore, if two triangles, &c. PROP. XXV. THEOR. 26. lEu. If two triangles have two angles of the one, equal to two angles of the other, each to each, and one side equal to one side ; viz. either shall the other sides be equal, each to each, and also the third angle...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 pagina’s
....'. L BAC > L EDF. Wherefore, if two triangles, &c. PROP. XXV. THEOR. 26. lEu. If two triangles have two angles of the one, equal to two angles of the other, each to each, and one side equal to one side ; viz. either the sides adjacent to the equal angles, or the sides opposite to equal...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pagina’s
...BD), and that the right angle DEB is equal to the right angle DFB, the two triangles DEB, DFB have two angles of the one equal to two angles of the other, each to each, and the side DB, which is opposite to one of the equal angles in each, common to both — therefore their...
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Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846 - 272 pagina’s
...F, nor less than it, it will be greater. PROPOSITION XXVI. THEOREM. If two triangles (BAC, DEF) have two angles of the one equal to two angles of the other (B to D and C to F) ; and a side of one equal to a side of the other, that is, either the sides which...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 pagina’s
...the angles GMK, GMN are both right angles by construction ; wherefore, the triangles GMK, GMN have two angles of the one equal to two angles of the other, and they have also the side GM common, therefore they are equal(26. 1.),and the side KM is equal to...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pagina’s
...Proposition is the converse of the preceding. PROP. XXVI. THEOR. GEN. EMUN. — If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to equal...
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An elementary course of mathematics, Volume 2

Samuel Hunter Christie - 1847 - 172 pagina’s
...angle EBC : and the angle AEG is equal to the angle BEH (I. 15): therefore the triangles AEG, BEH have two angles of the one equal to two angles of the other, each to each, and the sides AE, EB, adjacent to the equal angles, equal to one another: wherefore they have their other...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - 1847 - 326 pagina’s
...(Prop. xvii), namely, the angle BAC to the angle DCA, and the angle BCA to the angle DAC ; hence the two triangles, having two angles of the one equal to two angles of the other, have also their third angles equal (Prop. xxiv, Cor. 1), namely, the angle B equal to the angle D,...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pagina’s
...angle EDF. Wherefore if two triangles, &c. QED PROP. XXVI. THEOB. If two triangles have two angles of one equal to two angles of the other, each to each ; and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to equal...
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