The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
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Σελίδα 6
... a common side between them ; as AOB and BOC . B PERPENDICULAR LINES . 24. If from a given point in a straight line a line be drawn meeting the given line in such a way as to make the adjacent angles equal , each of the equal angles is ...
... a common side between them ; as AOB and BOC . B PERPENDICULAR LINES . 24. If from a given point in a straight line a line be drawn meeting the given line in such a way as to make the adjacent angles equal , each of the equal angles is ...
Σελίδα 7
... a way that point B shall fall upon point E , and line AB upon line DE . Then , line BC will fall upon line EF ; for otherwise we should have two lines perpendicular to DE at E , which is impossible . [ At a given point in a straight line ...
... a way that point B shall fall upon point E , and line AB upon line DE . Then , line BC will fall upon line EF ; for otherwise we should have two lines perpendicular to DE at E , which is impossible . [ At a given point in a straight line ...
Σελίδα 10
... a straight line at a given point is equal to two right angles . This is evident from § 32 . 35. Cor . II . The sum of all the angles about a point in a plane is equal to four right angles . Let AOB , BOC , COD , and DOA be angles about ...
... a straight line at a given point is equal to two right angles . This is evident from § 32 . 35. Cor . II . The sum of all the angles about a point in a plane is equal to four right angles . Let AOB , BOC , COD , and DOA be angles about ...
Σελίδα 11
... line . A C B Given the sum of adj . & ACD and BCD equal to two rt . s . To Prove that AC and BC lie in the same str . line . Proof . If AC and BC do not lie in the same str . line , let CE be in the same str . line with AC . Then since ACE ...
... line . A C B Given the sum of adj . & ACD and BCD equal to two rt . s . To Prove that AC and BC lie in the same str . line . Proof . If AC and BC do not lie in the same str . line , let CE be in the same str . line with AC . Then since ACE ...
Σελίδα 13
... a straight line , I. Any point in the perpendicular is equally distant from the extremities of the line . II . Any point without the perpendicular is unequally dis- tant from the extremities of the line . IC E A D B I. Given line CD 1 to ...
... a straight line , I. Any point in the perpendicular is equally distant from the extremities of the line . II . Any point without the perpendicular is unequally dis- tant from the extremities of the line . IC E A D B I. Given line CD 1 to ...
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.