Elements of Geometry: Plane geometryAmerican Book Company, 1896 |
Inni boken
Resultat 1-5 av 52
Side 32
... TRIANGLES 55. Def . — A triangle is a figure bounded by three straight lines called its sides . 56. Def . — A right triangle is a triangle one of whose angles is a right angle . 57. Def . - An equiangular triangle is one whose angles ...
... TRIANGLES 55. Def . — A triangle is a figure bounded by three straight lines called its sides . 56. Def . — A right triangle is a triangle one of whose angles is a right angle . 57. Def . - An equiangular triangle is one whose angles ...
Side 33
... triangle be produced , the ex- terior angle thus formed equals the sum of the two opposite interior angles ( and hence is greater than either of them ) . и с x OUTLINE PROOF : a + b + c = 2 right angles = x + c , whence a + b = x ...
... triangle be produced , the ex- terior angle thus formed equals the sum of the two opposite interior angles ( and hence is greater than either of them ) . и с x OUTLINE PROOF : a + b + c = 2 right angles = x + c , whence a + b = x ...
Side 34
... right angles as the figure has sides , less four right angles . A E O GIVEN ABCDE , any polygon , having n sides ... triangle is equal to 2 right angles . $ 58 Hence the sum of the angles of the n triangles is equal to 2n right angles ...
... right angles as the figure has sides , less four right angles . A E O GIVEN ABCDE , any polygon , having n sides ... triangle is equal to 2 right angles . $ 58 Hence the sum of the angles of the n triangles is equal to 2n right angles ...
Side 35
... right angles . e Cl d ' C GIVEN the polygon P with successive exterior angles a , b , c , d , e . TO PROVE a + b + c + d + e = 4 right ... triangle is a triangle BOOK I 35.
... right angles . e Cl d ' C GIVEN the polygon P with successive exterior angles a , b , c , d , e . TO PROVE a + b + c + d + e = 4 right ... triangle is a triangle BOOK I 35.
Side 37
... right angles . Question . In how many different ways is an equilateral triangle isosceles ? 75. CONSTRUCTION . To bisect any given angle A. X Y On the sides of the angle , lay off AX = AY . Join XY . Bisect XY at Z ( § 42 ) . Join AZ ...
... right angles . Question . In how many different ways is an equilateral triangle isosceles ? 75. CONSTRUCTION . To bisect any given angle A. X Y On the sides of the angle , lay off AX = AY . Join XY . Bisect XY at Z ( § 42 ) . Join AZ ...
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Vanlige uttrykk og setninger
AC AC adjacent angles altitude angles of parallel apothem base and altitude bisector bisects centre chord circumference circumscribed circle coincide construct a square decagon Def.-The diagonals diameter distance divided draw drawn equally distant equilateral triangle Exercise.-If exterior angle external tangents figure Find the area given circle given line given point given square given straight line GIVEN TO PROVE given triangle Hence homologous sides hypotenuse included angle intersection isosceles triangle locus mean proportional middle points number of sides opposite sides parallel to BC parallelogram perpendicular Q. E. D. PROPOSITION quadrilateral radii ratio of similitude rect rectangle regular inscribed regular polygon respectively equal right angles right triangle secant segments similar polygons similar triangles square equivalent straight line joining tangent THEOREM third side triangle ABC triangle is equal triangle whose sides vertex vertices
Populære avsnitt
Side 248 - The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles.
Side 215 - The areas of two regular polygons of the same number of sides are to each other as the squares of their radii or as the squares of their apothems.
Side 63 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line through the point A, parallel to the straight hue BC. In BC take any point D, and join AD; and at the point A, in the straight line AD, make (I.
Side 49 - If, from a point within a triangle, two straight lines are drawn to the extremities of either side, their sum will be less than the sum of the other two sides of the triangle.
Side 148 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.
Side 47 - ... the third side of the first is greater than the third side of the second.
Side 149 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Side 47 - If two triangles have two sides of one equal respectively to two sides of the other...
Side 100 - At a given point in a straight line to erect a perpendicular to that line. Let AB be the straight line, and let c D be a given point in it.
Side 140 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.