## Elements of Geometry and Trigonometry |

### From inside the book

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**perimeter**of the polygon . A4 ور B 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

... 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 Charles Davies. that is to say , when following their

Adrien Marie Legendre Charles Davies. 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 ... Page 92

... THEOREM . The contours or

... 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

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**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 ...### 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