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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. either the sides adjacent to the equal... "
Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ... - Pagina 23
door Euclides - 1860
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The Penny Cyclopędia of the Society for the Diffusion of Useful ..., Volume 22

1842 - 538 pagina’s
...course) alone are • enough to determine its form : or, as Euclid would express it, two triangles which have two angles of the one equal to two angles of the other, each to each, have the third angles equal, and all the sides of one in the same proportion to • the corresponding...
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The Penny Cyclopaedia of the Society for the Diffussion of Useful ..., Volume 22

1842 - 524 pagina’s
...course) alone are enough to determine its form : or, as Euclid would express it, two triangles which have two angles of the one equal to two angles of the other, each to each, have the third angles equal, and all the sides of one in the same proportion to the corresponding sides...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 pagina’s
...by BD ; and because the right angle 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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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pagina’s
...bisected by BD, and that the right angle 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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pagina’s
...the right angle BED is equal to the right angle BFD ; (ax. 11.) therefore the two triangles EBD, FBD have two angles of the one equal to two angles of the other, each to each ; and the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore their...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 pagina’s
...is equal (const.) to FBD, and that the right angles BED, BFD are equal, the two triangles EBD. FBD have two angles of the one equal to two angles of the other, each to each, and the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore (I....
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 pagina’s
...and 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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Key to System of practical mathematics. 2 pt. No.xvii

Scottish school-book assoc - 1845 - 278 pagina’s
...1), and the side BC is = the side BA, being sides of an equilateral triangle ; .-. the Д» CBD, ABE, have two angles of the one equal to two angles of the other, and a side lying between these equal angles also equal ; .-• these triangles are equal in every respect,...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 pagina’s
...proved Z BAG -^ Z EDF, .-. Z BAC > Z EDF. Wherefore, if two triangles, &c. PROP. XXV. THEOR. 26. lEu. If two triangles have two angles of the one, equal...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 of the one, equal...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 pagina’s
...proved Z. BAC ;£ L EDF, .'. L BAC > L EDF. Wherefore, if two triangles, &c. PROP. XXV. THEOR. 26. lEu. If two triangles have two angles of the one, equal...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 angles in each...
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