Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
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Page 15
... sides of the polygon . The broken line , made up of all the sides of the polygon , is called the perimeter of the ... side of the one is equal to the first side BOOK I. 15.
... sides of the polygon . The broken line , made up of all the sides of the polygon , is called the perimeter of the ... side of the one is equal to the first side BOOK I. 15.
Page 16
... sides equal . 2d . An ISOSCELES TRIANGLE is one which has two of its sides equal . When all of the sides are equal , the triangle is EQUILATERAL . >> When classified with reference to their angles , there are two classes right - angled ...
... sides equal . 2d . An ISOSCELES TRIANGLE is one which has two of its sides equal . When all of the sides are equal , the triangle is EQUILATERAL . >> When classified with reference to their angles , there are two classes right - angled ...
Page 17
... sides . There are then two classes the first class embraces those which have no two sides par allel ; the second class embraces those which have at least two sides parallel . Quadrilaterals of the first class , are called trapeziums ...
... sides . There are then two classes the first class embraces those which have no two sides par allel ; the second class embraces those which have at least two sides parallel . Quadrilaterals of the first class , are called trapeziums ...
Page 21
... side of one line , and on opposite sides of the other ; thus , ACE and ECB , or ACE and ACD , are D adjacent angles . E B 2o . OPPOSITE , or VERTICAL ANGLES , are those which lie on opposite sides of both lines ; thus , ACE and DCB , or ...
... side of one line , and on opposite sides of the other ; thus , ACE and ECB , or ACE and ACD , are D adjacent angles . E B 2o . OPPOSITE , or VERTICAL ANGLES , are those which lie on opposite sides of both lines ; thus , ACE and DCB , or ...
Page 25
... side EF : then A A B will the triangles be equal in all their parts . E D For , let ABC be applied to DEF in such a manner that the angle B shall coincide with the angle E , the side BU taking the direction EF , and the side BA BOOK I. 25.
... side EF : then A A B will the triangles be equal in all their parts . E D For , let ABC be applied to DEF in such a manner that the angle B shall coincide with the angle E , the side BU taking the direction EF , and the side BA BOOK I. 25.
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AB² AC² 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 straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine six right slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence