Elements of Geometry and Trigonometry: From the Works of A.M. Legendre |
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Page 14
... angles which they form are called adjacent angles . Thus , the A- angles ABD and DBC are adjacent . 12. A RIGHT ANGLE is formed by one straight line meeting another so ... angle 15. An OBTUSE ANGLE is greater than a right angle 14 GEOMETRY .
... angles which they form are called adjacent angles . Thus , the A- angles ABD and DBC are adjacent . 12. A RIGHT ANGLE is formed by one straight line meeting another so ... angle 15. An OBTUSE ANGLE is greater than a right angle 14 GEOMETRY .
Page 15
... right angle . 16. Two straight lines are parallel , when they lie in the same plane and can- not meet , how far ... angles of the polygon . The angles formed by the 19. Polygons are classified according to the number of their sides or ...
... right angle . 16. Two straight lines are parallel , when they lie in the same plane and can- not meet , how far ... angles of the polygon . The angles formed by the 19. Polygons are classified according to the number of their sides or ...
Page 16
... angles , taken in the same order , are equal , each to each . 23. A DIAGONAL ... right - angled and oblique - angled . 1st . A RIGHT - ANGLED TRIANGLE is one ... angle of an oblique - angled triangle is 16 GEOMETRY .
... angles , taken in the same order , are equal , each to each . 23. A DIAGONAL ... right - angled and oblique - angled . 1st . A RIGHT - ANGLED TRIANGLE is one ... angle of an oblique - angled triangle is 16 GEOMETRY .
Page 17
... angles are acute , the triangle is said to be ACUTE - ANGLED . 26. Quadrilaterals are classified with reference to ... right angles . A SQUARE is an equilateral rectangle . 21. A RHOMBOID is a parallelogram whose angles are all oblique ...
... angles are acute , the triangle is said to be ACUTE - ANGLED . 26. Quadrilaterals are classified with reference to ... right angles . A SQUARE is an equilateral rectangle . 21. A RHOMBOID is a parallelogram whose angles are all oblique ...
Page 18
... right angles are equal . 11. Only one straight line can be drawn joining two given points . 12. The shortest distance from one point to another is measured on the straight line which joins them . 13. Through the same point , only one ...
... right angles are equal . 11. Only one straight line can be drawn joining two given points . 12. The shortest distance from one point to another is measured on the straight line which joins them . 13. Through the same point , only one ...
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Common terms and phrases
AB² ABCD AC² adjacent angles altitude 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 difference 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 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 slant height sphere spherical polygon spherical triangle square subtracted Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence
Popular passages
Page 126 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Page 59 - A'B'C', and applying the law of cosines, we have cos a' = cos b' cos c' + sin b' sin c' cos A'. Remembering the relations a' = 180° -A, b' = 180° - B, etc. (this expression becomes cos A = — cos B cos C + sin B sin C cos a.
Page 18 - The circumference of every circle is supposed to be divided into 360 equal parts called degrees, and each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds, and these into thirds, fourths, &c.
Page 104 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 6 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 28 - If two triangles have two sides of the one equal to two sides of the...
Page 46 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 99 - The area of a parallelogram is equal to the product of its base and altitude.
Page 172 - If two planes are perpendicular to 'each other, a straight line drawn in one of them, perpendicular to their intersection, will be perpendicular to the other.
Page 214 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.