The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
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Σελίδα 23
... isosceles when two of its sides are equal ; equi- lateral when all its sides are equal ; and equiangular when all its angles are equal . Scalene . Isosceles . Equilateral . 59. A right triangle is a triangle which has a right as ABC ...
... isosceles when two of its sides are equal ; equi- lateral when all its sides are equal ; and equiangular when all its angles are equal . Scalene . Isosceles . Equilateral . 59. A right triangle is a triangle which has a right as ABC ...
Σελίδα 24
... isosceles triangle , unless otherwise specified , the side which is not one of the equal sides is taken as the base . When any side has been taken as the base , the opposite angle is called the ver- tical angle , and its vertex is ...
... isosceles triangle , unless otherwise specified , the side which is not one of the equal sides is taken as the base . When any side has been taken as the base , the opposite angle is called the ver- tical angle , and its vertex is ...
Σελίδα 41
... ( $ 91 ) But each of these conclusions is contrary to the hypothe- Isis that BC is > EF . Then , if △ △ can be neither equal to ≤ D , nor < ≤ D , LA > < D . PROP . XXX . THEOREM . 93. In an isosceles RECTILINEAR FIGURES . 41.
... ( $ 91 ) But each of these conclusions is contrary to the hypothe- Isis that BC is > EF . Then , if △ △ can be neither equal to ≤ D , nor < ≤ D , LA > < D . PROP . XXX . THEOREM . 93. In an isosceles RECTILINEAR FIGURES . 41.
Σελίδα 42
... isosceles triangle bisects the base . 2. The perpendicular from the vertex to the base of an isosceles triangle bisects the vertical angle . 95. Cor . II . An equilateral triangle is also equiangular . PROP . XXXI . THEOREM . 96 ...
... isosceles triangle bisects the base . 2. The perpendicular from the vertex to the base of an isosceles triangle bisects the vertical angle . 95. Cor . II . An equilateral triangle is also equiangular . PROP . XXXI . THEOREM . 96 ...
Σελίδα 43
... isosceles △ ABD , ZABD : = ZADB . [ In an isosceles A , the opposite the equal sides are equal . ] ( § 93 ) Now since ADB is an ext . △ of △ BDC , ZADB > C. [ An ext . of a △ is > either of the opposite int . . ] Therefore , its ...
... isosceles △ ABD , ZABD : = ZADB . [ In an isosceles A , the opposite the equal sides are equal . ] ( § 93 ) Now since ADB is an ext . △ of △ BDC , ZADB > C. [ An ext . of a △ is > either of the opposite int . . ] Therefore , its ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² adjacent angles altitude apothem approach the limit 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 equal respectively 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 Prove 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 58 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Σελίδα 322 - A right circular cylinder may be generated by the revolution of a rectangle about one of its sides as an axis.
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 336 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The...
Σελίδα 151 - If one leg of a right triangle is double the other, the perpendicular from the vertex of the right angle to the hypotenuse divides it into segments which are to each other as 1 to 4.
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 73 - A chord is a straight line joining the extremities of an arc ; as AB.
Σελίδα 202 - The circumferences of two circles are to each other as their radii. Given C and C" the circumferences of two © whose radii are R and R', respectively.