The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
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Σελίδα 23
... vertices . B The angles of the triangle are the angles CAB , ABC , and BCA , included between the adjacent sides . An exterior angle of a triangle is the angle at any vertex between any side of the triangle and the adjacent side ...
... vertices . B The angles of the triangle are the angles CAB , ABC , and BCA , included between the adjacent sides . An exterior angle of a triangle is the angle at any vertex between any side of the triangle and the adjacent side ...
Σελίδα 34
... vertices . Note . The sides extend in the same direction if they are on the same side of a straight line joining the vertices , and in opposite direc- tions if they are on opposite sides of this line . D A B G K E F ' H Given 34 PLANE ...
... vertices . Note . The sides extend in the same direction if they are on the same side of a straight line joining the vertices , and in opposite direc- tions if they are on opposite sides of this line . D A B G K E F ' H Given 34 PLANE ...
Σελίδα 35
... vertices , are equal . Proof . Let BC and DH intersect at G. Since Ils AB and DE are cut by BC , Z ABC = Z DGC . [ If two | s are cut by a transversal , the corresp . are equal . ] In like manner , since || s BC and EF are cut by DE ...
... vertices , are equal . Proof . Let BC and DH intersect at G. Since Ils AB and DE are cut by BC , Z ABC = Z DGC . [ If two | s are cut by a transversal , the corresp . are equal . ] In like manner , since || s BC and EF are cut by DE ...
Σελίδα 36
... vertices . Given lines B and BC | to lines DH and KF , respectively , intersecting at E. To Prove that ABC and DEK , B K E H D whose sides AB and DE extend in the same direction , and BC and EK in opposite directions , from their vertices ...
... vertices . Given lines B and BC | to lines DH and KF , respectively , intersecting at E. To Prove that ABC and DEK , B K E H D whose sides AB and DE extend in the same direction , and BC and EK in opposite directions , from their vertices ...
Σελίδα 37
... vertices . ] ( § 81 ) But since , by cons . , & DEH and FEK are rt . ≤ , each of the DEF and HEK is the complement of △ FEH . .. / DEF = / HEK . [ The complements of equal are equal . ] .. Z ABC = Z DEF . ( § 31 ) [ Things which are ...
... vertices . ] ( § 81 ) But since , by cons . , & DEH and FEK are rt . ≤ , each of the DEF and HEK is the complement of △ FEH . .. / DEF = / HEK . [ The complements of equal are equal . ] .. Z ABC = Z DEF . ( § 31 ) [ Things which are ...
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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.