The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
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Σελίδα
... given directly after the statement , in smaller type , enclosed in brackets . In the remaining portions of the work , the formal statement of the authority is omitted ; but the num- ber of the section where it is to be found is usually ...
... given directly after the statement , in smaller type , enclosed in brackets . In the remaining portions of the work , the formal statement of the authority is omitted ; but the num- ber of the section where it is to be found is usually ...
Σελίδα
... given to putting the propo- sitions in the first part of Book I. in a form adapted to the needs of a beginner . The pages have been arranged in such a way as to avoid the necessity , while reading a proof , of turning the page for ...
... given to putting the propo- sitions in the first part of Book I. in a form adapted to the needs of a beginner . The pages have been arranged in such a way as to avoid the necessity , while reading a proof , of turning the page for ...
Σελίδα 6
... 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 called a right angle , and the lines are said to be perpendicular ( 1 ) to each other ...
... 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 called a right angle , and the lines are said to be perpendicular ( 1 ) to each other ...
Σελίδα 10
... 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 the point 0 . To ...
... 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 the point 0 . To ...
Σελίδα 11
... 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 ... given straight line , Conclusion . A perpendicular to the line at the given point can be drawn , and but one . 39. Sch . II ...
... 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 ... given straight line , Conclusion . A perpendicular to the line at the given point can be drawn , and but one . 39. Sch . II ...
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.