Elements of Geometry and Trigonometry |
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Page 10
... perimeter of the polygon . A B A F D 14. The polygon of three sides , the simplest of all , is called a triangle ; that of four sides , a quadrilateral ; that of five , a pentagon ; that of six , a hexagon ; that of seven , a heptagon ...
... perimeter of the polygon . A B A F D 14. The polygon of three sides , the simplest of all , is called a triangle ; that of four sides , a quadrilateral ; that of five , a pentagon ; that of six , a hexagon ; that of seven , a heptagon ...
Page 11
... one which has all its angles equal . 20. Two polygons are mutually equilateral , when they have their sides equal each to each , and placed in the same order ; that is to say , when following their perimeters in BOOK I. 11.
... one which has all its angles equal . 20. Two polygons are mutually equilateral , when they have their sides equal each to each , and placed in the same order ; that is to say , when following their perimeters in BOOK I. 11.
Page 12
Adrien Marie Legendre. that is to say , when following their perimeters in the same di- rection , the first side of the one is equal to the first side of the other , the second of the one to the second of the other , the third to the ...
Adrien Marie Legendre. that is to say , when following their perimeters in the same di- rection , the first side of the one is equal to the first side of the other , the second of the one to the second of the other , the third to the ...
Page 92
... THEOREM . The contours or perimeters of similar polygons are to each other as the homologous sides : and the areas are to each other as the squares described on those sides . First . Since , by the nature of similar figures 92 GEOMETRY .
... THEOREM . The contours or perimeters of similar polygons are to each other as the homologous sides : and the areas are to each other as the squares described on those sides . First . Since , by the nature of similar figures 92 GEOMETRY .
Page 93
... perimeter of the first polygon , is to the sum of the consequents FG + GH + HI , & c . , which makes up the perimeter of the second polygon , as any one antecedent is to its consequent ; and therefore , as the side AB is to its cor ...
... perimeter of the first polygon , is to the sum of the consequents FG + GH + HI , & c . , which makes up the perimeter of the second polygon , as any one antecedent is to its consequent ; and therefore , as the side AB is to its cor ...
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface Cosine cylinder diagonal diameter dicular distance divided draw drawn equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar Sine Cotang slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex