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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 ... - Side 66
av Euclid, John Keill - 1733 - 397 sider
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1854 - 436 sider
...consequently, the two equiangular triangles BAC, CED, are similar figures. Cor. Two triangles which have two angles of the one equal to two angles of the other, are similar ; for, the third angles are then equal, and the two triangles are equian gular (BI, p....
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The popular educator, Volum 4;Volum 7

Popular educator - 1852 - 1272 sider
...triangles, &c. QED Scholium. The enunciation of this proposition may be thu» simplified : If two triangles have two angles of the one, equal to two angles of the other, each to each, and u side of the one equal to a side of the other similarly situated as to the equal...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 sider
...intersect one another, the greater segments will be equal to the sides of the pentagon. 3. If two triangles have two angles of the one equal to two angles of the other, 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 Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 sider
...and the right angle BED (I. Ax. 11) to the right angle BF D. Therefore the two triangles EBD and 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...
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855 - 230 sider
...the angle EBC (4): and the angle AEG is equal to the angle BEH (a); 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...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 334 sider
...equal to it: therefore the angle BAC is greater than the angle EDF. PROP. XXVI. THLOR. Jf two triangles have two angles of the one equal to two angles of the otIirr, each to each; and one side equal to one side, viz. either the sides adjacent to the equal anglrs,...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 sider
...BAC, and the angle ABE is equal to the angle ABC (being both right angles), the triangles ABC, ABE have two angles of the one equal to two angles of the other, and the side AB common to the two. Therefore the triangles ABC, ABE are equal, and the side AE is equal to AC, and...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 sider
...angles are equal, these straight lines are, two and two, in the same straight line. 3. 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. the sides adjacent to equal angles in each; then...
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Practical carpentry, joinery, and cabinet-making [by P. Nicholson. by P ...

Peter Nicholson - 1856 - 482 sider
...parallel to CD, the alternate angles, GFE, FGH, are also equal ; therefore the two triangles GEF, HFG, have two angles of the one equal to two angles of the other, each to each ; and the side FG, adjacent to the equal angles, common ; the triangles are therefore...
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Elements of Geometry and Trigonometry from the Works of A. M. Legendre ...

Adrien Marie Legendre, Charles Davies - 1857 - 442 sider
...consequently, the two equiangular triangles BA C, CUD, are similar figures. Cor. Two triangles which have two angles of the one equal to two angles of the other, are similar; for, the third angles are then equal, and the two triangles are equian gular (BI, p. 25,...
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