The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
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Σελίδα 7
... Draw a straight line CD in such a position that angle BCD shall be less than angle ACD ; and let line CD be turned about point C as a pivot towards the position CA. Then , angle BCD will constantly increase ; and angle ACD will ...
... Draw a straight line CD in such a position that angle BCD shall be less than angle ACD ; and let line CD be turned about point C as a pivot towards the position CA. Then , angle BCD will constantly increase ; and angle ACD will ...
Σελίδα 9
... line . To prove the sum of angles ACD and BCD equal to two right angles . Draw line CE perpendicular to AB at C. [ At a given point in a straight line , a perpendicular to the line can be drawn . ] ( § 25 ) Then , it is evident that the ...
... line . To prove the sum of angles ACD and BCD equal to two right angles . Draw line CE perpendicular to AB at C. [ At a given point in a straight line , a perpendicular to the line can be drawn . ] ( § 25 ) Then , it is evident that the ...
Σελίδα 14
Webster Wells. C E A D B II . Given line CD L to line AB at its middle point D , Fany point without CD , and lines AF and BF . To Prove AF > BF . Proof . Let AF intersect CD at E , and draw line BE . Now BE + EF > BF . [ A str . line is ...
Webster Wells. C E A D B II . Given line CD L to line AB at its middle point D , Fany point without CD , and lines AF and BF . To Prove AF > BF . Proof . Let AF intersect CD at E , and draw line BE . Now BE + EF > BF . [ A str . line is ...
Σελίδα 15
... line can be drawn . ] ( § 25 ) Apply line FG to line AB , and move it along until HK passes through C ; let point H fall at D , and draw line CD . Then , CD is 1 AB . If possible , let CE be another 1 from C to AB . Produce CD to C ...
... line can be drawn . ] ( § 25 ) Apply line FG to line AB , and move it along until HK passes through C ; let point H fall at D , and draw line CD . Then , CD is 1 AB . If possible , let CE be another 1 from C to AB . Produce CD to C ...
Σελίδα 16
... line that can be drawn from a point to a straight line . A -B D Given CD the from point C to line AB , and CE any other str . line from C to AB . To Prove CD < CE . Proof . Produce CD to C ' , making C'D = CD , and draw line EC ' . By ...
... line that can be drawn from a point to a straight line . A -B D Given CD the from point C to line AB , and CE any other str . line from C to AB . To Prove CD < CE . Proof . Produce CD to C ' , making C'D = CD , and draw line EC ' . By ...
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.