The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
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Σελίδα 24
... base , the corresponding 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 ...
... base , the corresponding 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 ...
Σελίδα 42
... base of an 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 ...
... base of an 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 ...
Σελίδα 52
... base at right angles . ( Fig . of Prop . XXX . In equal A ACD and BCD , we have ZADC = / BDC ; then CD LAB by § 24. ) 32. The line joining the vertex of an isosceles triangle to the middle point of the base , is perpendicular to the base ...
... base at right angles . ( Fig . of Prop . XXX . In equal A ACD and BCD , we have ZADC = / BDC ; then CD LAB by § 24. ) 32. The line joining the vertex of an isosceles triangle to the middle point of the base , is perpendicular to the base ...
Σελίδα 57
... base A B are equal . ( § 31 , 2. ) Α D B E 39. If the perpendicular from the vertex to the base of a triangle bisects the base , the triangle is isosceles . ( Fig . of Prop . XXX . △ ACD and BCD are equal by § 63. ) 40. The bisectors ...
... base A B are equal . ( § 31 , 2. ) Α D B E 39. If the perpendicular from the vertex to the base of a triangle bisects the base , the triangle is isosceles . ( Fig . of Prop . XXX . △ ACD and BCD are equal by § 63. ) 40. The bisectors ...
Σελίδα 58
... base and vertical angle of one are equal respectively to the base and vertical angle of the other . ( Each of the remaining of one △ is equal to each of the remain- ing of the other . ) 46. If two parallels are cut by a transversal ...
... base and vertical angle of one are equal respectively to the base and vertical angle of the other . ( Each of the remaining of one △ is equal to each of the remain- ing of the other . ) 46. If two parallels are cut by a transversal ...
Άλλες εκδόσεις - Προβολή όλων
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.