 | Geometry, Plane - 1911 - 192 pages
...segment of a circle. What is a postulate? Give an example. 2. Prove that two triangles are equal when the three sides of one are equal respectively to the three sides of the other. 3. In the same circle, or in equal circles, two angles at the centre are in the same ratio as their... | |
 | Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 230 pages
...figures are equal. 111. The base angles of an isosceles triangle are equal. 116. Two triangles are equal if the three sides of one are equal respectively to the three sides of the other, 122. Circle postulate. A circle may be constructed having any point as center, and having a radius... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...by the other two sides, the lines are equal. Fio PROPOSITION V. THEOREM 116. Two triangles are equal if the three sides of one are equal respectively to the three sides of the other. Given A ABC and RST, AB = RS, BC = ST, and CA — TR. To prove AABC — ARST. ARGUMENT 1. Place A RST... | |
 | John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...off unequal distances are unequal, and the more remote is the greater. 147. Two triangles are equal if the three sides of one are equal respectively to the three sides of the other. 148. If lines are drawn from a point in a perpendicular: (1) Two that are equal cut off equal distances... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...side and two angles of one are equal respectively to a side and any two angles of the other, or that the three sides of one are equal respectively to the three sides of the other. (/) If two lines are to be proved parallel, try to prove that one of the relations of Prop, xxi, p.... | |
 | Education - 1917 - 786 pages
...angles and the included side are equal respectively to two angles and the included side of the other. 3. If the three sides of one are equal respectively to the three sides of the other IV. Two right triangles are equal: 1. If their legs are equal, each to each 2. If the hypotenuse and... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...Theorem. On the same sphere or on equal spheres, two spherical triangles are congruent or symmetric if the three sides of one are equal respectively to the three sides of the other. Construct the corresponding central triedral angles and use § 610 when parts are in the same order.... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...Theorem. On the same sphere or on equal spheres, two spherical triangles are congruent or symmetric if the three sides of one are equal respectively to the three sides of the other. Construct the corresponding central triedral angles and use § 610 when parts are in the same order.... | |
 | George Wentworth, David Eugene Smith, Joseph Clifton Brown - Mathematics - 1918 - 296 pages
...intersection of AB and XY be called J/. Then AA YX and BYX are congruent, § 72 ( Two & are congruent if the three sides of one are equal respectively to the three sides of the other.) and hence Z.AXY=Z.BXY. §54 Hence A AXM and BXM are congruent, § 58 ( Two & are congruent if two sides... | |
 | George Albert Wentworth, David Eugene Smith, Joseph Clifton Brown - Mathematics - 1918 - 304 pages
...illustrate your answer to this second question. 71. Examination of the Inference. In the case in which the three sides of one are equal respectively to the three sides of the other, see if you can give a satisfactory proof by placing AABC on AA'B'C' as in §§ 58 and 68. If not, try... | |
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Two triangles are congruent if (a) two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other... 
