 | Henry Dallas Thompson - Geometry, Solid - 1896 - 226 pages
...either equal or symmetrical. 30. If two spherical triangles have two angles and the included side of the one equal respectively to two angles and the included side of the other, the two triangles are equal or symmetrical. 31. The angles at the base of an isosceles spherical triangle... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...equal. [§ 37. Therefore, If two triangles have, etc. QED PROPOSITION II. THEOREM. 45. If two triangles have two angles and the included side of one equal...to two angles and the included side of the other, the two triangles are equal. FlG. 23. Let ABC and DEF\>& two triangles in which angles B and C of the... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...Prop. XVIII. 663. PROPOSITION XIX. Given: Two triangles on the same sphere, or equal spheres, having two angles and the included side of one equal respectively...to two angles and the included side of the other. (1) Can you prove the triangles equal? (2) Can you prove the triangles symmetrical ? Study the figures... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...is laid off equal to BD. Prove AD = CE. ion. Show that PROPOSITION II. THEOREM 35. If two triangles have two angles and the included side of one equal...to two angles and the included side of the other, the triangles are equal in all respects. Let the A ABC and DEF have /LA — ZD, ZC = ZF, and AC = DF.... | |
 | Alan Sanders - Geometry - 1903 - 396 pages
...BD. Prove AD = CE. Suggestion. Show that A ABD = A EBC. PROPOSITION II. THEOREM 35. If two triangles have two angles and the included side of one equal...to two angles and the included side of the other, the triangles are equal in all respects. Let the A ABC and DEF have ZA = ZD, ZC = ZF, and AC = nF.... | |
 | John Alton Avery - Geometry, Modern - 1903 - 136 pages
...lie opposite equal angles and equal angles lie opposite equal sides. THEOREM VII 32. If two triangles have two angles and the included side of one equal...to two angles and the included side of the other, the triangles are equal. Hyp. In the A ABC and DEF, let AC=DF, ZA = ZD, .C=ZF. To prove that A ABC... | |
 | Alan Sanders - Geometry - 1903 - 392 pages
...the included angle of one equal respectively to two sides and the included angle of the other; or 2. Two angles and the included side of one equal respectively...to two angles and the included side of the other; or 3. Three sides of one equal respectively to the three sides of the other; Have their remaining parts... | |
 | Alan Sanders - Geometry - 1908 - 396 pages
...off equal to BD. Prove AD = CE. Suggestion. Show that 16 PROPOSITION II. THEORBM 35. If two triangles have two angles and the included side of one equal...respectively to two angles and the included side of tJie other, the triangles are equal in all respects. Let the A ABC and DEF have ZA = ZO, Z. C = ZF,... | |
 | George F. Cole - 1909 - 368 pages
...respectively, to two angles and the included side of the other. Draw two triangles as ABC and DEF with two angles and the included side of one equal, respectively,...to two angles and the included side of the other. Cut out the triangles. Compare one with the other. Are they equal? Why? CLASSIFICATION OF QUADRILATERALS... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...are equal? Congruent ? PLANE GEOMETRY. 35. Second Test for Congruence of Triangles. //' two triangles have two angles and the included side of one equal...to two angles and the included side of the other, the triangles are congruent. This is shown by the following argument : C C' AB A' B' Let ABC and A'B'C'... | |
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If two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the triangles are congruent. 
