Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
From inside the book
Results 1-5 of 25
Page 15
... EQUILATERAL POLYGON is one whose sides are all equal . An EQUIANGULAR POLYGON is one whose angles are all equal . A REGULAR POLYGON is one which is both equilateral and equiangular . 21. Two polygons are mutually equilateral , when ...
... EQUILATERAL POLYGON is one whose sides are all equal . An EQUIANGULAR POLYGON is one whose angles are all equal . A REGULAR POLYGON is one which is both equilateral and equiangular . 21. Two polygons are mutually equilateral , when ...
Page 16
... EQUILATERAL . A When classified with reference to their angles , there are two classes : right - angled and oblique - angled . 1st . A RIGHT - ANGLED TRIANGLE is one that has one right angle . The side opposite the right angle is called ...
... EQUILATERAL . A When classified with reference to their angles , there are two classes : right - angled and oblique - angled . 1st . A RIGHT - ANGLED TRIANGLE is one that has one right angle . The side opposite the right angle is called ...
Page 17
... equilateral rectangle . 2d . A RHOMBOID is a parallelogram whose angles are all oblique . A RHOMBUS is an equilateral rhomboid . 29. SPACE is indefinite extension . 30. A VOLUME is 2 BOOK I. 17.
... equilateral rectangle . 2d . A RHOMBOID is a parallelogram whose angles are all oblique . A RHOMBUS is an equilateral rhomboid . 29. SPACE is indefinite extension . 30. A VOLUME is 2 BOOK I. 17.
Page 31
... equilateral triangle ́is equiangular . Cor . 2. The angle BAD is equal to DAC , and BDA to CDA : hence , the last two are right angles . Consequently , a straight line drawn from the vertex of an isosceles tri- angle to the middle of ...
... equilateral triangle ́is equiangular . Cor . 2. The angle BAD is equal to DAC , and BDA to CDA : hence , the last two are right angles . Consequently , a straight line drawn from the vertex of an isosceles tri- angle to the middle of ...
Page 32
... equilateral . PROPOSITION XIII . THEOREM . In any triangle , the greater side is opposite the greater angle ; and , conversely , the greater angle is opposite the greater side . In the triangle ABC , let the angle ACB be greater than ...
... equilateral . PROPOSITION XIII . THEOREM . In any triangle , the greater side is opposite the greater angle ; and , conversely , the greater angle is opposite the greater side . In the triangle ABC , let the angle ACB be greater than ...
Other editions - View all
Common terms and phrases
AB² ABCD AC² adjacent angles altitude angles is equal apothem base and altitude bisects centre chord circle circumference circumscribed cone consequently convex surface corresponding Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant equilateral feet find the area formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides parallel parallelogram parallelopipedon perimeter perpendicular plane angles plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sine slant height solution sphere spherical angle spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence