Elements of Geometry and Trigonometry |
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Page 11
... hypothenuse . Thus , in the triangle ABC , right - angled at A , the side BC is the hypothenuse . B 17. Among the quadrilaterals , we distinguish : The square , which has its sides equal , and its an- gles right - angles . The rectangle ...
... hypothenuse . Thus , in the triangle ABC , right - angled at A , the side BC is the hypothenuse . B 17. Among the quadrilaterals , we distinguish : The square , which has its sides equal , and its an- gles right - angles . The rectangle ...
Page 24
... hypothenuse and a side of the one , equal to the hypothenuse and a side of the other , each to each , the remaining parts will also be equal , each to each , and the triangles themselves will be equal . In the two right angled triangles ...
... hypothenuse and a side of the one , equal to the hypothenuse and a side of the other , each to each , the remaining parts will also be equal , each to each , and the triangles themselves will be equal . In the two right angled triangles ...
Page 47
... hypothenuses CA , CD , are equal ; and the side AF , the half of AB , is equal to the side DG , the half of DE : hence the triangles are equal , and CF is equal to CG ( Book I. Prop . XVII . ) ; hence , the two equal chords AB , DE ...
... hypothenuses CA , CD , are equal ; and the side AF , the half of AB , is equal to the side DG , the half of DE : hence the triangles are equal , and CF is equal to CG ( Book I. Prop . XVII . ) ; hence , the two equal chords AB , DE ...
Page 64
... hypothenuse CA common , and the side CB - CD ; hence they are equal ( Book I. Prop . XVII . ) ; hence AD is equal to AB , and also the angle CAD to CAB . And as there can be but one line bisecting the angle BAC , it follows , that the ...
... hypothenuse CA common , and the side CB - CD ; hence they are equal ( Book I. Prop . XVII . ) ; hence AD is equal to AB , and also the angle CAD to CAB . And as there can be but one line bisecting the angle BAC , it follows , that the ...
Page 78
... hypothenuse of a right angled tri- angle is equivalent to the sum of the squares described on the other two sides , Let the triangle ABC be right angled at A. Having described squares on the three sides , let fall from A , on the ...
... hypothenuse of a right angled tri- angle is equivalent to the sum of the squares described on the other two sides , Let the triangle ABC be right angled at A. Having described squares on the three sides , let fall from A , on the ...
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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 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