Books Books ... sides be equal, each to each; and also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Page 24
by John Playfair - 1860 - 317 pages ## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...equal to them of the other; the base of that which has the greater angle shall be greater than the base of the other. Let ABC, DEF, be two triangles which have the two sides AB, AC, equal to the two DE, DF, each to each, viz. AB equal to DE, and AC to DP ; but the... ## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...equal to them of the other; the base of that which has the greater angle shall be greater than the base of the other. Let ABC, DEF be two triangles, which have the two sides AB, AC, equal to the two DE, DF, each to each, viz., AB equal to DE, and AC to DF ; but the... ## The popular educator, Volume 4; Volume 7

Popular educator - 1854 - 1274 pages
...DEF, and B c A to BF D. Also, let a side of tbe one triangle be equal to a side of the other. No. 1 . First, let those sides be equal which are adjacent...angles that are equal in the two triangles ; viz., B c equal to E F. Then their other sides are eqnal, each to each ; viz., A a to DK, and A c to i) F... ## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 pages
...equal to them, of the other ; the base of that which has the greater angle is greater than the base of the other. Let ABC, DEF be two triangles, which have the two sides AB, AC, equal to the two sides DE, DF, each to each; viz., AB equal toDE, and AC to DF. But... ## Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 256 pages
...the two triangles will be equal, the other sides will be equal, each to each, and the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles having the angle B equal to E, the angle C equal to F, and the included sides BC, EF equal to each... ## Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...which have the angles ABC and BCA of the one equal to the angles DEF and EFD of the other — namely, ABC to DEF, and BCA to EFD ; also one side equal to...to the angles that are equal in the two triangles — namely, BC to EF; to prove that the other sides shall be equal, each to each — namely, AB to... ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...third sides be equal in each triangle, as also the remaining angles of the one to the remaining angles of the other. ! Let ABC, DEF be two triangles which have the sides AB, AC equal to the two sides DE, DF, each to each, and the angle ABC equal to the angle DEF... ## The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 pages
...greater than the other. Let AB be the greater of the two. Make BG equal (I. 3) to DE, aud join GC. First, let those sides be equal which are adjacent...angles that are equal in the two triangles, viz., BCto EF. Then their other sides are equal, each to each, viz., AB to DE, and AC to DF; and the third... ## The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...them ; then shall the other sides be equal, each to each, and also the third angle of the one equal to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BC A, equal to the angles DEF, EFD, each to each, namely, ABC to DEF, and B CA to EFD ; also one side... 