| George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...PROPOSITION VII. THEOREM 332. The areas of two triangles that have an angle of the one equal to an **angle of the other are to each other as the products of the** sides including the equal angles. ADB Given the triangles ABC and ADE, with the common angle A. To... | |
| United States. Office of Education - 1911 - 1154 pages
...measured by one-half the arc intercepted by its sides. 3. Two triangles having an angle of one equal to an **angle of the other are to each other as the products of the** sides including the equal angles. ■ 4. (iiven a parallelogram and a point outside of it, obtain a... | |
| Geometry, Plane - 1911 - 192 pages
...similar when their homologous sides are proportional. 5. Two triangles having an angle of one equal to an **angle of the other are to each other as the products of the** sides including the equal angles. 6. Define a segment of a circle; equivalent triangles. When are two... | |
| David Eugene Smith - Geometry - 1911 - 360 pages
...TEACHING OF GEOMETRY THEOREM. The areas of two triangles which have an angle of the one equal to an **angle of the other are to each other as the products of the** sides including the equal angles. This proposition may be omitted as far as its use in plane geometry... | |
| Education - 1911 - 1030 pages
...measured by one-half the arc Intercepted by its sides. 3. Two triangles having an angle of one equal to an **angle of the other are to each other as the products of the** sides including the equal angles. 4. Given a parallelogram and a point outside of it, obtain a construction... | |
| Hugh T. Reed - 1911 - 330 pages
...extreme and mean ratio. Theorem : The areas of two triangles which have an angle of one equal to the **angle of the other are to each other as the products of the** sides including those angles. Problem : Given a circle of unit diameter and the side of a regular inscribed... | |
| William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...the sum of its lateral edges. PROPOSITION XX. THEOREM 665. Tetrahedrons having a trihedral angle of **one equal to a trihedral angle of the other are to each other as the products of the edges** about the equal trihedral angles. T "-<. \ ^^* AD Given two tetrahedrons T-ABC and T'-DEF, with equal... | |
| George Albert Wentworth, George Wentworth - Geometry - 1912 - 602 pages
...weight of the given rod = y V§ x 0.28 Ib. = fi.09 V3 Ib., or 10.548 Ib. 7. Two triangular pyramids **with a trihedral angle of the one equal to a trihedral angle of the other** have the edges of these angles 3 in., 4 in., 3J in., and 5 in., 5| in., 6 in. respectively. Find the... | |
| Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 222 pages
...multiplied by the radius of the inscribed circle. 498. Two triangles which have an angle of one equal to an **angle of the other are to each other as the products of the** sides including the equal angles. 503. Two similar triangles are to each other as the squares of any... | |
| Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...circles. Ex. 1125. Assuming that the areas of two triangles which have an angle of the one equal to an **angle of the other are to each other as the products of the** sides including the equal angles, prove that the bisector of an angle of a triangle divides the opposite... | |
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