Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 53
Page 24
... included angle of the one equal to two sides and the included angle of the other , each to each , the triangles will be equal in uti their parts . In the triangles ABC and DEF , let AB be equal to DE , AC to DF , and the angle 24 GEOMETRY .
... included angle of the one equal to two sides and the included angle of the other , each to each , the triangles will be equal in uti their parts . In the triangles ABC and DEF , let AB be equal to DE , AC to DF , and the angle 24 GEOMETRY .
Page 25
... included side of the one equal to two angles and the included side of the other , each to each , the triangles will be equal in all their parts . In the triangles ABC and DEF , let the angle B be equal A D to the angle E , the angle C ...
... included side of the one equal to two angles and the included side of the other , each to each , the triangles will be equal in all their parts . In the triangles ABC and DEF , let the angle B be equal A D to the angle E , the angle C ...
Page 28
... included angle . In the triangles BAC and DEF , let AB be equal to DE , AC to DF , and the angle A greater than the ... included angle of the one equal to two sides and the included angle of the other , each to each ; consequently , GC ...
... included angle . In the triangles BAC and DEF , let AB be equal to DE , AC to DF , and the angle A greater than the ... included angle of the one equal to two sides and the included angle of the other , each to each ; consequently , GC ...
Page 30
... included angle of the one equal to two sides and the inclu- ded angle of the other , each to each ; and , consequently , they are equal in all their parts ( P. V. ) ; which was to be proved . Scholium . In triangles , equal in all their ...
... included angle of the one equal to two sides and the inclu- ded angle of the other , each to each ; and , consequently , they are equal in all their parts ( P. V. ) ; which was to be proved . Scholium . In triangles , equal in all their ...
Page 31
... included angle ACB equal to the included angle DBC , by hypothesis : hence , the two triangles are equal in all their parts ( P. V. ) . But BOOK 1 . 31.
... included angle ACB equal to the included angle DBC , by hypothesis : hence , the two triangles are equal in all their parts ( P. V. ) . But BOOK 1 . 31.
Other editions - View all
Common terms and phrases
ABCD ACĀ² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half middle point number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROBLEM PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment side BC similar sine slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence