Elements of Geometry: With Practical Applications Designed for BeginnersD. Appleton, 1853 - 320 σελίδες |
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Σελίδα 42
... convex . A convex polygon may be defined to be one such that no side , by being pro- duced in either direction , can di- vide the polygon . The polygon ABCDFG is not convex , since it may be divided by producing either of the sides CD ...
... convex . A convex polygon may be defined to be one such that no side , by being pro- duced in either direction , can di- vide the polygon . The polygon ABCDFG is not convex , since it may be divided by producing either of the sides CD ...
Σελίδα 43
... convex polygon , the sum of all the interior angles , taken together , is equal to twice as many right - angles as the polygon has sides , wanting four right - angles . F / f α A B 0/0 Let ABCDFG be a convex polygon . Conceive the sides ...
... convex polygon , the sum of all the interior angles , taken together , is equal to twice as many right - angles as the polygon has sides , wanting four right - angles . F / f α A B 0/0 Let ABCDFG be a convex polygon . Conceive the sides ...
Σελίδα 44
... convex polygon , having the same number of sides as the original polygon . And it is moreover obvious that the sum of all the interior angles of this convex A D ' F polygon is the same as the sum of all the angles of the original ...
... convex polygon , having the same number of sides as the original polygon . And it is moreover obvious that the sum of all the interior angles of this convex A D ' F polygon is the same as the sum of all the angles of the original ...
Σελίδα 199
... convex , or that the plane of no one surface produced can ever meet the solid angle . If it were otherwise , the sum of the plane angles would no longer be limited , and might be of any magnitude . PROPOSITION XXI . THEOREM . If two ...
... convex , or that the plane of no one surface produced can ever meet the solid angle . If it were otherwise , the sum of the plane angles would no longer be limited , and might be of any magnitude . PROPOSITION XXI . THEOREM . If two ...
Σελίδα 202
... convex surface of the prism . 3. The altitude of a prism is the perpendicular dis- tance between its bases ; and its length is a line equal to any one of its lateral edges , as AF or BG , & c . 4. A right prism is one in which the ...
... convex surface of the prism . 3. The altitude of a prism is the perpendicular dis- tance between its bases ; and its length is a line equal to any one of its lateral edges , as AF or BG , & c . 4. A right prism is one in which the ...
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Elements of Geometry With Practical Applications George R Perkins Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
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a+b+c altitude angle ABC angle ACD angle BAC bisect centre chord circ circular sector circumference circumscribed polygon coincide cone consequently convex surface cylinder diagonal diameter distance draw equal and parallel equiangular equilateral triangle equivalent exterior angle ference figure formed given line greater half the arc hypothenuse inscribed circle intersection isosceles join less Let ABC line CD lines drawn magnitude measured by half meet multiplied number of sides opposite angles parallel lines parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN point G prism PROBLEM produced Prop proportional PROPOSITION pyramid radii radius rectangle regular polygon respectively equal right-angled triangle Sabc Schol Scholium scribed semicircle semicircumference side AC similar solid angle sphere spherical polygon square straight line suppose tangent THEOREM three sides triangle ABC triangular prism vertex VIII