 | George Washington Hull - 1897 - 408 σελίδες
...of their slant heights. 439. Two 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 including the equal trihedral angles. 440. The plane which bisects a dihedral angle of a tetrahedron... | |
 | Henry W. Keigwin - 1897 - 254 σελίδες
...(Bryn Mawr, 1894.) 10. Prove 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. Describe an isosceles triangle equal in area to a given triangle... | |
 | Frederick Newton Willson - 1898 - 322 σελίδες
...element of the surface. (b) Two tetrahedrons which have a trihedral angle of the one equal to a trihedral angle of the other, are to each other as the products of the three edges of the equal trihedral angles. - Illustrating descr,ptive or positional properties: (u) If a line is perpendicular... | |
 | George Albert Wentworth - 1898 - 462 σελίδες
...607. The volumes of two tetrahedrons, having a trishedral angle of the one equal to a trihedral an£e of the other, are to each other as the products of the three edges of these trihedral angles. c' Let V and V denote the volumes of the two tetrahedrons S-ABC and SA'B '... | |
 | Yale University - 1898 - 212 σελίδες
...commensurable and incommensurable. 4. The areas of two triangles having 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. 5. Given a square the length of whose side is 6 units, construct... | |
 | 1898 - 228 σελίδες
...the construction correct. 5. 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 those angles. (B) 1. The shadow cast on level ground by a church steeple is 27 meters... | |
 | Webster Wells - 1898 - 250 σελίδες
...is 108, and perimeter 52. PROP. VIII. THEOREM. 321. 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. A Given Z A common to A ABC and ABC'. To Prove ABC_ = ABxAC . AB'C'... | |
 | James Howard Gore - 1898 - 232 σελίδες
...EDC. PROPOSITION VII. THEOREM. 261. The areas of two triangles having 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. . Let ABC and ADE be two triangles, having Z A common. £> To prove... | |
 | Webster Wells - 1899 - 180 σελίδες
...base, whose area is 64 sq. in. ? PBOP. XXI. THEOREM. 523. Two tetraedrons haviny a triedral angle of one equal to a triedral angle of the other, are to each other as the products of the edges including the equal triedral angles. 0' Given V and V the volumes of tetraedrons 0-ABC and 0-A'B'C',... | |
 | Webster Wells - 1899 - 450 σελίδες
...base, whose area is 54 sq. in. ? PROP. XXI. THEOREM. 523. Two tetraedrons having a triedral angle of one equal to a triedral angle of the other, are to each other as the products of the edges including the equal triedral angles. a' Given V and V the volumes of tetraedrons O-ABC and OA'B'C',... | |
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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. 
