The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
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Σελίδα 24
... altitude is the perpendicular drawn from the opposite vertex to the base , produced if necessary . In general , either side may be taken as the base ; but in an isosceles triangle , unless otherwise specified , the side which is not one ...
... altitude is the perpendicular drawn from the opposite vertex to the base , produced if necessary . In general , either side may be taken as the base ; but in an isosceles triangle , unless otherwise specified , the side which is not one ...
Σελίδα 47
... altitude corresponding to these bases is the perpendicular distance between them . 105. A Rhomboid is a parallelogram whose angles are not right angles , and whose adjacent sides are unequal . A Rhombus is a parallelogram whose angles ...
... altitude corresponding to these bases is the perpendicular distance between them . 105. A Rhomboid is a parallelogram whose angles are not right angles , and whose adjacent sides are unequal . A Rhombus is a parallelogram whose angles ...
Σελίδα 52
... altitude of the other . PROP . XLIII . THEOREM . 115. The diagonals of a rectangle are equal . B C Given AC and BD the diagonals of rect . ABCD . To Prove ACBD . ( Prove rt . A ABD = rt . △ ACD , by § 63. ) 116. Cor . The diagonals of ...
... altitude of the other . PROP . XLIII . THEOREM . 115. The diagonals of a rectangle are equal . B C Given AC and BD the diagonals of rect . ABCD . To Prove ACBD . ( Prove rt . A ABD = rt . △ ACD , by § 63. ) 116. Cor . The diagonals of ...
Σελίδα 105
... line . EXERCISES . 70. Given the base and altitude of an isosceles triangle , to con- struct the triangle . 71. Given an acute angle , to construct its complement . PROP . XXVIII . PROBLEM . 204. From a given THE CIRCLE . 105.
... line . EXERCISES . 70. Given the base and altitude of an isosceles triangle , to con- struct the triangle . 71. Given an acute angle , to construct its complement . PROP . XXVIII . PROBLEM . 204. From a given THE CIRCLE . 105.
Σελίδα 113
... altitude of an isosceles triangle , to construct the triangle . What restriction is there on the values of the given lines ? 79. Given two diagonals of a parallelogram and their included angle , to construct the parallelogram . ( § 111 ...
... altitude of an isosceles triangle , to construct the triangle . What restriction is there on the values of the given lines ? 79. Given two diagonals of a parallelogram and their included angle , to construct the parallelogram . ( § 111 ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² adjacent angles altitude apothem approach the limit area ABC axis base and altitude BC² bisector bisects centre chord circle circumference circumscribed coincide cone of revolution Converse of Prop diagonals diameter diedral angle distance Draw line equally distant equilateral equivalent exterior angle faces Find the area frustum Given line given point Hence homologous homologous sides hypotenuse intersecting isosceles triangle lateral area lateral edges line drawn line joining middle point number of sides parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedral polyedron prism pyramid quadrilateral radii radius rectangle regular inscribed regular polygon rhombus right angles right triangle segment side BC similar slant height spherical polygon spherical triangle square tangent tetraedron THEOREM trapezoid triangle ABC triangular prism triedral vertex vertices volume Whence
Δημοφιλή αποσπάσματα
Σελίδα 371 - A zone is a portion of the surface of a sphere included between two parallel planes.
Σελίδα 49 - ... the three sides of one are equal, respectively, to the three sides of the other. 2. Two right triangles are congruent if...
Σελίδα 261 - The projection of a point on a plane is the foot of the perpendicular drawn from the point to the plane.
Σελίδα 336 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The...
Σελίδα 73 - A chord is a straight line joining the extremities of an arc ; as AB.
Σελίδα 328 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 205 - S' denote the areas of two © whose radii are R and R', and diameters D and D', respectively. Then, | = "* § = ££ = £• <§337> That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.
Σελίδα 170 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Σελίδα 224 - The perpendiculars from the vertices of a triangle to the opposite sides are the bisectors of the angles of the triangle formed by joining the feet of the perpendiculars.
Σελίδα 325 - A right circular cone may be generated by the revolution of a right triangle about one of its legs as an axis.