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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... "
The first book of Euclid's Elements, simplified, explained and illustrated ... - Σελίδα 58
των Euclides - 1847
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 σελίδες
...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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1844 - 317 σελίδες
...it is not equal to it : therefore the angle BAC is greater than the angle EDF. B PROP. XXVI. THEOR. If two triangles have two angles of the one equal...other, each to each; and one side equal to one side, via. either the sides adjacent to the equal angles, or the sides opposite to the equal angles in each...

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...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...

The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 σελίδες
...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....

Key to System of practical mathematics. 2 pt. No.xvii

Scottish school-book assoc - 1845
...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,...

Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 σελίδες
...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...

The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...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...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 to the third...

The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...bisected by 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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 317 σελίδες
...GNK, and 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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