Elements of Geometry and Trigonometry |
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Page 6
... Construction and Description of the Tables , 223 Description of Table of Logarithms , · 224 Description of Table of Logarithmic Sines , Principles for the Solution of Rectilineal Triangles , 228 231 Solution of Rectilineal Triangles by ...
... Construction and Description of the Tables , 223 Description of Table of Logarithms , · 224 Description of Table of Logarithmic Sines , Principles for the Solution of Rectilineal Triangles , 228 231 Solution of Rectilineal Triangles by ...
Page 19
... construction , they have an equal angle in each , contained by equal sides , ( Prop . V. ) ; therefore CG is equal to EF . Now , there may be three cases in the proposition , according as the point G falls without the triangle ABC , or ...
... construction , they have an equal angle in each , contained by equal sides , ( Prop . V. ) ; therefore CG is equal to EF . Now , there may be three cases in the proposition , according as the point G falls without the triangle ABC , or ...
Page 20
... construction : therefore , by the last proposition , the angle B is equal to the angle C. B Cor . An equilateral triangle is likewise equiangular , that is to say , has all its angles equal . Scholium . The equality of the triangles BAD ...
... construction : therefore , by the last proposition , the angle B is equal to the angle C. B Cor . An equilateral triangle is likewise equiangular , that is to say , has all its angles equal . Scholium . The equality of the triangles BAD ...
Page 21
... construction ; the angle B equal to the angle ACB , by hypothesis ; B4 and the side BC common : therefore , the two triangles , BDC , BAC , have two sides and the included angle in the one , equal to two sides and the included angle in ...
... construction ; the angle B equal to the angle ACB , by hypothesis ; B4 and the side BC common : therefore , the two triangles , BDC , BAC , have two sides and the included angle in the one , equal to two sides and the included angle in ...
Page 22
... construction ; there- fore , the triangles are equal , and the angle ACB = BCF ( Prop . V. Cor . ) . But the angle ACB is a right angle , by hypothesis ; therefore , BCF must likewise be a right angle . But if the adja- cent angles BCA ...
... construction ; there- fore , the triangles are equal , and the angle ACB = BCF ( Prop . V. Cor . ) . But the angle ACB is a right angle , by hypothesis ; therefore , BCF must likewise be a right angle . But if the adja- cent angles BCA ...
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone convex surface Cosine Cotang cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar sine solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex