The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
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Σελίδα 2
... manner , we may conceive of lines and points as having an independent existence in space . 7. A straight line , or right line , is a line which has the same direction throughout its length ; as AB . F G A- B C D E H A straight line . A ...
... manner , we may conceive of lines and points as having an independent existence in space . 7. A straight line , or right line , is a line which has the same direction throughout its length ; as AB . F G A- B C D E H A straight line . A ...
Σελίδα 3
... manner we may conceive of a plane as being of unlimited extent in regard to length and breadth . 12. A geometrical figure is any combination of points , lines , surfaces , or solids . A plane figure is a figure formed by points and ...
... manner we may conceive of a plane as being of unlimited extent in regard to length and breadth . 12. A geometrical figure is any combination of points , lines , surfaces , or solids . A plane figure is a figure formed by points and ...
Σελίδα 6
... manner that point B shall fall on point E , and sides AB and BC on sides DE and EF , respec- tively , the angles are equal , even if sides AB and BC are not equal in length to sides DE and EF , respectively . 23. Two angles are said to ...
... manner that point B shall fall on point E , and sides AB and BC on sides DE and EF , respec- tively , the angles are equal , even if sides AB and BC are not equal in length to sides DE and EF , respectively . 23. Two angles are said to ...
Σελίδα 10
... manner , the sum of angles EOD and DOA is equal to two right angles . Therefore , the sum of angles AOB , BOC , COD , and DOA is equal to four right angles . Ex . 6. If , in the figure of § 35 , angles AOB , BOC , and COD are ...
... manner , the sum of angles EOD and DOA is equal to two right angles . Therefore , the sum of angles AOB , BOC , COD , and DOA is equal to four right angles . Ex . 6. If , in the figure of § 35 , angles AOB , BOC , and COD are ...
Σελίδα 12
... same reason , △ BOD is the supplement of △ AOD . .. ZAOC = △ BOD . [ The supplements of equal are equal . ] In like manner , we may prove ( $ 31 ) LAOD = Z BOC . EXERCISES . 7. If , in the figure of Prop 12 PLANE GEOMETRY . - BOOK I.
... same reason , △ BOD is the supplement of △ AOD . .. ZAOC = △ BOD . [ The supplements of equal are equal . ] In like manner , we may prove ( $ 31 ) LAOD = Z BOC . EXERCISES . 7. If , in the figure of Prop 12 PLANE GEOMETRY . - BOOK I.
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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.