| Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...THEOREM. Two triangular pyramids (tetrahedrons) having a trihedral angle of one equal to a trihedral **angle of the other are to each other as the products of the** three edges including the equal trihedral angles. Given : Triangular pyramids S-ABC, S—PQR; having... | |
| Webster Wells - Geometry - 1908 - 336 pages
...the trapezoid change ? Draw the trapezoid. PROP. VIII. THEOREM 290. Two triangles having an angle of **one equal to an angle of the other, are to each other as the products** of tlw sides including the equal angles. A a' Draw A AB'C' and line BC meeting AB' at B, and AC' at... | |
| Webster Wells - Geometry, Plane - 1908 - 208 pages
...trapezoid change ? Draw the trapezoid. , PROP. VIII. THEOREM 290. Two triangles having an angle of **one equal to an angle of the other, are to each other as the products** of tlw sides including the equal angles. A Draw A AB'C' and line BC meeting AB' at B, and AC' at C.... | |
| Great Britain. Education Department. Department of Science and Art - 1908 - 328 pages
...half its area, from whose sides the given circle shall cut off equal chords. (25) 43. If two triangles **have an angle of the one equal to an angle of the other** and the sides about those angles proportional, show that the triangles are equiangular to one another.... | |
| Michigan. Department of Public Instruction - Education - 1909 - 356 pages
...through a point in the circumference of a circle two chords are drawn, 4. (a) Two triangles having **an angle of the one equal to an angle of the other...products of the sides including the equal angles. (b)** To trisect a right angle. (c) Through a point to draw a line parallel to a given line. 5. The bisectors... | |
| Eugene Randolph Smith - Geometry, Plane - 1909 - 424 pages
...less than, the opposite angle of the other, and conversely. (5) Areas of triangles having an angle of **one equal to an angle of the other are to each other as the products of the** including sides. B. PLANE GEOMETRY PROPOSITIONS THAT CAN BE USED IN SOLID GEOMETRY BECAUSE THE NATURE... | |
| Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...their bases. 5. If two triangles have an angle of one equal to an angle of the other, their areas are **to each other as the products of the sides including the equal angles.** 6. If two triangles have an angle in common and equal areas, the sides including the equal angles are... | |
| William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...parts. BD Ex. 371. The areas of two triangles having an angle in the one supplementary to an angle in **the other are to each other as the products of the sides including the** supplementary angles. AABC_BC and AABE _AB A ABE BE &BDE BD' Ex. 372. If two triangles have an angle... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...triangles ACD and EBC that AC- BC= CE- CD. 430. EXERCISES. 1. The areas of two parallelograms having **an angle of the one equal to an angle of the other are** in the same ratio as the product of the sides including the equal angles. 2. Three semicircles of equal... | |
| William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 286 pages
...respectively, to two angles of the other. PROPOSITION XVIII. THEOREM. 368. Two triangles are similar if they **have an angle of the one equal to an angle of the other** and the including sides proportional. EF Given As ABC and DBF in which XA = XD, and — = — . DE... | |
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