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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 Revised: Containing the Essentials of the Elements of Plane Geometry ... - Page 29
by Euclid - 1890 - 400 pages
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...the angle BAC is greater than the angle EDF. Wherefore, if two triangles, &c. QED PROPOSITION XXVI. THEOREM. 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 in each, or the sides...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 382 pages
...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 - Geometry - 1845 - 218 pages
...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 pages
...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 - Geometry - 1846 - 128 pages
...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 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...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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 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...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...the angle BAC is greater than the angle EDF. Wherefore, If two triangles fp. QET>. PROP. XXVI. THEOR. 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 sides which are...
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Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846 - 272 pages
...angle 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 - Euclid's Elements - 1846 - 334 pages
...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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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
...sides &e. — QED This 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...
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