Elements of Geometry: Plane geometryAmerican Book Company, 1896 |
Inni boken
Resultat 1-5 av 34
Side
... PROBLEMS 04386 15 32 66 BOOK II THE CIRCLE MEASUREMENT 73 87 · LIMITS PROBLEMS OF DEMONSTRATION 88 106 · PROBLEMS OF CONSTRUCTION . 108 BOOK III PROPORTION AND SIMILAR FIGURES TRANSFORMATION OF PROPORTIONS IIO III • PROBLEMS OF ...
... PROBLEMS 04386 15 32 66 BOOK II THE CIRCLE MEASUREMENT 73 87 · LIMITS PROBLEMS OF DEMONSTRATION 88 106 · PROBLEMS OF CONSTRUCTION . 108 BOOK III PROPORTION AND SIMILAR FIGURES TRANSFORMATION OF PROPORTIONS IIO III • PROBLEMS OF ...
Side
... PROBLEMS OF CONSTRUCTION . PROBLEMS FOR COMPUTATION . REGULAR POLYGONS AND CIRCLES . SYMMETRY WITH RESPECT TO A POINT . . . PROBLEMS OF DEMONSTRATION PROBLEMS OF CONSTRUCTION . PROBLEMS FOR COMPUTATION . BOOK I BOOK II • BOOK III . BOOK ...
... PROBLEMS OF CONSTRUCTION . PROBLEMS FOR COMPUTATION . REGULAR POLYGONS AND CIRCLES . SYMMETRY WITH RESPECT TO A POINT . . . PROBLEMS OF DEMONSTRATION PROBLEMS OF CONSTRUCTION . PROBLEMS FOR COMPUTATION . BOOK I BOOK II • BOOK III . BOOK ...
Side 1
... problem is a question proposed which requires a solution . A proposition is a general term for either a theorem or problem . One theorem is the converse of another when the conclusion of the first is made the hypothesis of the second ...
... problem is a question proposed which requires a solution . A proposition is a general term for either a theorem or problem . One theorem is the converse of another when the conclusion of the first is made the hypothesis of the second ...
Side 44
... problem is impossible if the two given angles are to- gether equal to or greater than two right angles ( by § 58 ) . Question . - Is the problem of § 81 ever impossible ? PROPOSITION XXIV . THEOREM 89. If two triangles have their three ...
... problem is impossible if the two given angles are to- gether equal to or greater than two right angles ( by § 58 ) . Question . - Is the problem of § 81 ever impossible ? PROPOSITION XXIV . THEOREM 89. If two triangles have their three ...
Side 45
... problem is impossible if one of the given lines is equal to or greater than the sum of the other two . 91. Exercise .-- By Proposition XXIV . prove that each of the following constructions is correct : ( 1. ) For erecting a ...
... problem is impossible if one of the given lines is equal to or greater than the sum of the other two . 91. Exercise .-- By Proposition XXIV . prove that each of the following constructions is correct : ( 1. ) For erecting a ...
Andre utgaver - Vis alle
Vanlige uttrykk og setninger
AC AC adjacent angles altitude angles of parallel apothem base and altitude bisector bisects centre chord circumference circumscribed circle coincide construct a square decagon Def.-The diagonals diameter distance divided draw drawn equally distant equilateral triangle Exercise.-If exterior angle external tangents figure Find the area given circle given line given point given square given straight line GIVEN TO PROVE given triangle Hence homologous sides hypotenuse included angle intersection isosceles triangle locus mean proportional middle points number of sides opposite sides parallel to BC parallelogram perpendicular Q. E. D. PROPOSITION quadrilateral radii ratio of similitude rect rectangle regular inscribed regular polygon respectively equal right angles right triangle secant segments similar polygons similar triangles square equivalent straight line joining tangent THEOREM third side triangle ABC triangle is equal triangle whose sides vertex vertices
Populære avsnitt
Side 248 - The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles.
Side 215 - 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.
Side 63 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line through the point A, parallel to the straight hue BC. In BC take any point D, and join AD; and at the point A, in the straight line AD, make (I.
Side 49 - If, from a point within a triangle, two straight lines are drawn to the extremities of either side, their sum will be less than the sum of the other two sides of the triangle.
Side 148 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.
Side 47 - ... the third side of the first is greater than the third side of the second.
Side 149 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Side 47 - If two triangles have two sides of one equal respectively to two sides of the other...
Side 100 - At a given point in a straight line to erect a perpendicular to that line. Let AB be the straight line, and let c D be a given point in it.
Side 140 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.