Elements of Geometry and Trigonometry |
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Page 11
... THEOREM is a truth requiring demonstration . 7 . An AXIOM is a self - evident truth . S. A PROBLEM is a question requiring a solution . 9. A POSTULATE is a self - evident Problem . Theorems , Axioms , Problems , and Postulates , are all ...
... THEOREM is a truth requiring demonstration . 7 . An AXIOM is a self - evident truth . S. A PROBLEM is a question requiring a solution . 9. A POSTULATE is a self - evident Problem . Theorems , Axioms , Problems , and Postulates , are all ...
Page 23
... THEOREM . If two straight lines have two points in common , they will coincide throughout their whole extent , and form one and the same line . Let A and B be two points common to two lines : then will the lines coincide throughout ...
... THEOREM . If two straight lines have two points in common , they will coincide throughout their whole extent , and form one and the same line . Let A and B be two points common to two lines : then will the lines coincide throughout ...
Page 24
... THEOREM . If two triangles have two sides and the 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 ...
... THEOREM . If two triangles have two sides and the 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 ...
Page 25
... THEOREM . If two triangles have two angles and the 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 ...
... THEOREM . If two triangles have two angles and the 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 ...
Page 27
... THEOREM . If from any point within a triangle two straight lines be drawn to the extremities of any side , their sum will be less than that of the two remaining sides of the triangle . A Let be any point within the triangle BAC , and ...
... THEOREM . If from any point within a triangle two straight lines be drawn to the extremities of any side , their sum will be less than that of the two remaining sides of the triangle . A Let be any point within the triangle BAC , and ...
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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