Elements of Geometry and Trigonometry |
From inside the book
Results 6-10 of 87
Page 16
... angle ECB ( Ax . 3. ) . Scholium . The four angles formed about a point by two straight lines , which intersect each other , are together equal to four right angles : for the sum of the two angles ACE , ECB , is equal to two right angles ...
... angle ECB ( Ax . 3. ) . Scholium . The four angles formed about a point by two straight lines , which intersect each other , are together equal to four right angles : for the sum of the two angles ACE , ECB , is equal to two right angles ...
Page 20
... angles lie op- posite the equal sides : thus , the equal angles D and A , lie op- posite the equal sides EF and BC ... right angles ; therefore , the line drawn from the vertex of an isosceles triangle to the middle point of its base ...
... angles lie op- posite the equal sides : thus , the equal angles D and A , lie op- posite the equal sides EF and BC ... right angles ; therefore , the line drawn from the vertex of an isosceles triangle to the middle point of its base ...
Page 22
... angles CBA , and CBF are right angles , the side CB is common , and the side AB equal to BF , by construction ; there- fore , the triangles are equal , and the angle ACB = BCF ( Prop . V. Cor . ) . But the angle ACB is a right angle ...
... angles CBA , and CBF are right angles , the side CB is common , and the side AB equal to BF , by construction ; there- fore , the triangles are equal , and the angle ACB = BCF ( Prop . V. Cor . ) . But the angle ACB is a right angle ...
Page 24
... right angled triangles BAC , EDF , let the hypothenuse AC = DF , and the side BA = ED : then will the side BC = EF , the angle A = D , and the angle C - F . A B D G CE If the side BC is equal to EF , the like angles of the two triangles ...
... right angled triangles BAC , EDF , let the hypothenuse AC = DF , and the side BA = ED : then will the side BC = EF , the angle A = D , and the angle C - F . A B D G CE If the side BC is equal to EF , the like angles of the two triangles ...
Page 25
... right angles , by hypothesis ; the sum BAC + BAE is likewise equal to two right angles ( Prop . I. ) ; and taking away BAC from both , there will remain the angle ABD = BAE . Again , the angles EGA , BGF , are equal ( Prop . IV ...
... right angles , by hypothesis ; the sum BAC + BAE is likewise equal to two right angles ( Prop . I. ) ; and taking away BAC from both , there will remain the angle ABD = BAE . Again , the angles EGA , BGF , are equal ( Prop . IV ...
Other editions - View all
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 consequently convex surface cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equation equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides 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 solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex