The Essentials of Geometry (plane)D.C. Heath & Company, 1898 - 242 σελίδες |
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Σελίδα
... MEASUREMENT OF THE CIRCLE 188 APPENDIX TO PLANE GEOMETRY . MAXIMA AND MINIMA OF PLANE FIGURES 211 SYMMETRICAL FIGURES . 217 ADDITIONAL EXERCISES . 220 ANSWERS TO NUMERICAL EXERCISES . vii GEOMETRY . PRELIMINARY DEFINITIONS . A material ...
... MEASUREMENT OF THE CIRCLE 188 APPENDIX TO PLANE GEOMETRY . MAXIMA AND MINIMA OF PLANE FIGURES 211 SYMMETRICAL FIGURES . 217 ADDITIONAL EXERCISES . 220 ANSWERS TO NUMERICAL EXERCISES . vii GEOMETRY . PRELIMINARY DEFINITIONS . A material ...
Σελίδα 3
... measurement of geometrical figures . 14. Plane Geometry treats of plane figures only . Solid Geometry , also called Geometry of Space , or Geometry of Three Dimensions , treats of figures which are not plane . 15. An Axiom is a truth ...
... measurement of geometrical figures . 14. Plane Geometry treats of plane figures only . Solid Geometry , also called Geometry of Space , or Geometry of Three Dimensions , treats of figures which are not plane . 15. An Axiom is a truth ...
Σελίδα 8
... measured by finding how many times it contains another angle , adopted arbitrarily as the unit of measure . The usual unit of measure is the degree , which is the ninetieth part of a right angle . To express fractional parts of the unit ...
... measured by finding how many times it contains another angle , adopted arbitrarily as the unit of measure . The usual unit of measure is the degree , which is the ninetieth part of a right angle . To express fractional parts of the unit ...
Σελίδα 87
... MEASUREMENT . 178. Ratio is the relation with respect to magnitude which one quantity bears to another of the same kind ... measured by finding its ratio to another magnitude of the same kind , called the unit of measure . Thus , the ...
... MEASUREMENT . 178. Ratio is the relation with respect to magnitude which one quantity bears to another of the same kind ... measured by finding its ratio to another magnitude of the same kind , called the unit of measure . Thus , the ...
Σελίδα 90
... > A'B ' . In like manner , it may be proved that AB cannot be < A'B ' . Therefore , since AB can be neither > , nor < A'B ' , we have AB = A'B ' . MEASUREMENT OF ANGLES . PROP . XX . THEOREM . 90 PLANE GEOMETRY . BOOK II .
... > A'B ' . In like manner , it may be proved that AB cannot be < A'B ' . Therefore , since AB can be neither > , nor < A'B ' , we have AB = A'B ' . MEASUREMENT OF ANGLES . PROP . XX . THEOREM . 90 PLANE GEOMETRY . BOOK II .
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² AC and BC AC² adjacent angles altitude angles are equal apothem approach the limit arc BC base and altitude BC² bisector bisects CD² centre chord circumference circumscribed construct the triangle Converse of Prop decagon diagonals diameter Draw line EFGH equal angles equal respectively equally distant equiangular polygon equilateral triangle equivalent exterior angle figure Given line given point given square homologous sides hypotenuse isosceles triangle line CD line joining measured by arc middle point non-parallel sides number of sides opposite sides parallel parallelogram perimeter perpendicular points of sides polygons AC produced Prove Proof quadrilateral radii radius ratio rectangle regular inscribed regular polygon rhombus right angles right triangle secant segment side BC similar triangles subtended tangent THEOREM transversal trapezoid triangle is equal vertex ZAOB
Δημοφιλή αποσπάσματα
Σελίδα 73 - A chord is a straight line joining the extremities of an arc ; as AB.
Σελίδα 124 - In any proportion the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term.
Σελίδα 122 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
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 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 40 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Σελίδα 38 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 192 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Σελίδα 193 - The areas of two regular polygons of the same number of sides are to each other as the squares of their radii or as the squares of their apothems.
Σελίδα 142 - In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.