The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
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Αποτελέσματα 1 - 5 από τα 61.
Σελίδα 16
... distance of a point from a line is understood to mean the length of the perpendicular from the point to the line . Ex . 9. Find the number of degrees in the angle the sum of whose supplement and complement is 196 ° . PROP . VIII ...
... distance of a point from a line is understood to mean the length of the perpendicular from the point to the line . Ex . 9. Find the number of degrees in the angle the sum of whose supplement and complement is 196 ° . PROP . VIII ...
Σελίδα 18
... distances from the foot of the perpendicular from the point to the line are equal . II . Of two oblique lines cutting off unequal distances from the foot of the perpendicular from the point to the line , the more remote is the greater ...
... distances from the foot of the perpendicular from the point to the line are equal . II . Of two oblique lines cutting off unequal distances from the foot of the perpendicular from the point to the line , the more remote is the greater ...
Σελίδα 19
... distances from the foot of CD ; CF being the more remote . To Prove CF > CE . = Proof . Produce CD to C " , making CD CD , and draw lines C'E and C'F . By cons . , AD is to CC ' at its middle point D. = .. CF CF , and CE : = C'E . [ If ...
... distances from the foot of CD ; CF being the more remote . To Prove CF > CE . = Proof . Produce CD to C " , making CD CD , and draw lines C'E and C'F . By cons . , AD is to CC ' at its middle point D. = .. CF CF , and CE : = C'E . [ If ...
Σελίδα 20
... distances from the foot of the perpendicular from the point to the line . Д AE D F B Given CD the 1 from point C to line AB , and CE and CF equal oblique lines from C to AB . To Prove Proof . DF . DE : = DF . We know that DE is either ...
... distances from the foot of the perpendicular from the point to the line . Д AE D F B Given CD the 1 from point C to line AB , and CE and CF equal oblique lines from C to AB . To Prove Proof . DF . DE : = DF . We know that DE is either ...
Σελίδα 21
... distance from the foot of the perpendicular from the point to the line . Given CD the 1 from point C to line AB ; and CE and CF unequal oblique A lines from C to AB , CF being > CE . A FE D B To Prove DF > DE . ( Prove by Reductio ad ...
... distance from the foot of the perpendicular from the point to the line . Given CD the 1 from point C to line AB ; and CE and CF unequal oblique A lines from C to AB , CF being > CE . A FE D B To Prove DF > DE . ( Prove by Reductio ad ...
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.