Plane and Solid GeometryD. C. Heath, 1916 - 467 pagina's |
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Veelvoorkomende woorden en zinsdelen
ABCD adjacent angles adjoining figure altitude angles are equal apothem base bisector bisects central angle chord Conclusion congruent cylinder Determine diagonals diameter diedral angles distance divided Draw drawn equal angles equal respectively equidistant equilateral triangle exterior angle face angles frustum geometry given circle given line given point given segment Hence homologous homologous sides hypotenuse Hypothesis intersect isosceles triangle lateral area lateral edges length locus of points measure mid-point Note number of sides O-ABC opposite parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedral angle prism proportional PROPOSITION Prove pyramid quadrilateral radii radius ratio rectangle regular polygon rhombus right angle right triangle similar slant height sphere spherical polygon spherical triangle square straight angle straight line Suggestion Suggestions.-1 Supplementary Exercises surface tangent THEOREM trapezoid triedral vertex vertices volume ZAOB
Populaire passages
Pagina 162 - The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse.
Pagina 203 - The areas of two similar triangles are to each other as the squares of any two homologous sides.
Pagina 166 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Pagina 82 - ... if two triangles have two sides of one equal, respectively, to two sides of the other...
Pagina 101 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Pagina 205 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. B' ADC A' D' C' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove = — • A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Pagina 162 - The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Pagina 293 - An equiangular polygon inscribed in a circle is regular if the number of its sides is odd. PROPOSITION VIII. THEOREM 405. Regular polygons of the same number of sides are similar. E Hyp. ABCDE and A'B'C'D'E' are regular polygons of n sides.
Pagina 128 - What is the locus of the vertex of the right angle of a right triangle which has a given hypotenuse ? 3.
Pagina 200 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.