 | William Coligny Doub - Education - 1900 - 120 pages
...follows: In Arithmetic, explanation of the principles of cube root; in geometry, prove the following theorem: "Two triangles are equal, if two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other;" in reading, several... | |
 | Arthur Schultze - 1901 - 260 pages
...erected at the ends of the given line, two equal triangles are formed. PROPOSITION III. THEOREM 72. Two triangles are equal if two sides and the included angle of the one are equal respectively to two sides and the included angle of the other (sas — sa s.). , A BG £.' G' Hyp.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...erected at the ends of the given line, two equal triangles are formed. PROPOSITION III. THEOREM 72. Two triangles are equal if two sides and the included angle of the one are equal respectively to two sides and the included angle of the other (sas = sas). B OB' ~ C' Hyp. In A ABC... | |
 | Arthur Schultze - 1901 - 392 pages
...vertices it joins, the diagonal divides the figure into two equal triangles. PROPOSITION III. THEOREM 72. Two triangles are equal if two sides and the included angle of the one are equal respectively to two sides and the included angle of the other (sas = sa-s.), Hyp. In A ABC and A'B'C',... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...vertices it joins, the diagonal divides the figure into two equal triangles. PROPOSITION III. THEOREM 72. Two triangles are equal if two sides and the included angle of the one are equal respectively to two sides and the included angle of the other (sas = sas). Hyp. In A ABC and A'B'C',... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...angle of the one are equal, respectively, to a leg and the homologous acute angle of the other. 143. Two triangles are equal if two sides and the included angle of the one are equal, respectively, to two sides and the included angle of the other. 144. Two right triangles are equal... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...the one are equal, respectively, to acute angle of the other. § 133 PROPOSITION XXI. THEOREM. 143. Two triangles are equal if two sides and the included angle of the one are equal, respectively, to two sides and the included angle of the other. ABDE In the triangles ABC and DEF,... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...+ PC. Ax. 8. Subtracting PQ from each side, AB + BO AP + PC. Ax. 9. QED PROPOSITION VI. THEOREM 96. Two triangles are equal if two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other. B Given the triangles... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...the opposite or vertical angles are equal; The angles at the base of an isosceles triangle are equal; Two triangles are equal if two sides and the included angle of one are equal to two sides and the included angle of the other; The sum of the angles of a triangle... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...the opposite or vertical angles are equal; The angles at the base of an isosceles triangle are equal; Two triangles are equal if two sides and the included angle of one are equal to two sides and the included angle of the other; The sum of the angles of a triangle... | |
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Two triangles are equal if two sides and the included angle of the one are equal, respectively, to two sides and the included angle of the other... 
