The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
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Σελίδα 2
... 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 curve . A broken line . A curved line , or curve , is a line no portion of which is straight ; as CD ...
... 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 curve . A broken line . A curved line , or curve , is a line no portion of which is straight ; as CD ...
Σελίδα 3
Webster Wells. 11. We may conceive of a straight line as being of un- limited extent in regard to length ; and in ... straight lines only . 13. Geometry treats of the properties , construction , and measurement of geometrical figures . 14 ...
Webster Wells. 11. We may conceive of a straight line as being of un- limited extent in regard to length ; and in ... straight lines only . 13. Geometry treats of the properties , construction , and measurement of geometrical figures . 14 ...
Σελίδα 4
... straight line can be drawn between two points . 4. A straight line is the shortest line between two points . 5. The whole is equal to the sum of all its parts . 6. The whole is greater than any of its parts . 18. Since but one straight ...
... straight line can be drawn between two points . 4. A straight line is the shortest line between two points . 5. The whole is equal to the sum of all its parts . 6. The whole is greater than any of its parts . 18. Since but one straight ...
Σελίδα 6
... 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 called a right angle , and the lines are said to be ...
... 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 called a right angle , and the lines are said to be ...
Σελίδα 7
... 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 , but one perpendicular to the line can be ...
... 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 , but one perpendicular to the line can be ...
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.