Plane GeometryH. Holt, 1915 - 223 sider |
Inni boken
Resultat 1-5 av 87
Side iv
... proof . That this can be made a useful and active means of inference may be seen , for example , by reference to pages 10 to 17. Frequently where a rather long process of reasoning by congruence yields but a single detail of a figure ...
... proof . That this can be made a useful and active means of inference may be seen , for example , by reference to pages 10 to 17. Frequently where a rather long process of reasoning by congruence yields but a single detail of a figure ...
Side v
... proof of theorems wherever possible . In conclusion , it is a pleasure to acknowledge our indebtedness to such excellent works as Borel's " Géométrie , " the " Traité de Géométrie , " by Rouche et Comberousse , " Ebene Geometrie " by ...
... proof of theorems wherever possible . In conclusion , it is a pleasure to acknowledge our indebtedness to such excellent works as Borel's " Géométrie , " the " Traité de Géométrie , " by Rouche et Comberousse , " Ebene Geometrie " by ...
Side iv
... proof . That this can be made a useful and active means of inference may be seen , for example , by reference to pages 10 to 17. Frequently where a rather long process of reasoning by congruence yields but a single detail of a figure ...
... proof . That this can be made a useful and active means of inference may be seen , for example , by reference to pages 10 to 17. Frequently where a rather long process of reasoning by congruence yields but a single detail of a figure ...
Side vii
... proof Parallel lines Converse propositions 7285 47 52 60 CHAPTER III TRIANGLES Triangles Congruent triangles . General theorems The isosceles triangle Right triangles Inequalities Construction problems 62 65 69 73 77 82 CHAPTER IV ...
... proof Parallel lines Converse propositions 7285 47 52 60 CHAPTER III TRIANGLES Triangles Congruent triangles . General theorems The isosceles triangle Right triangles Inequalities Construction problems 62 65 69 73 77 82 CHAPTER IV ...
Side 12
... proof we infer the following : If a straight line CC ' is symmetric with respect to a straight line AB as an axis , then AB is symmetric with respect to CC ' as an axis . 49 . EXERCISES 1. Take a circle with center C , a point P on the ...
... proof we infer the following : If a straight line CC ' is symmetric with respect to a straight line AB as an axis , then AB is symmetric with respect to CC ' as an axis . 49 . EXERCISES 1. Take a circle with center C , a point P on the ...
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Plane Geometry (Classic Reprint) Chair of International History John W Young,John W. Young Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
acute angle adjacent angles adjacent sides altitude angle ABC angles formed base bisects called central angles chord circle with center circumscribed coincides construct a triangle convex polygon COROLLARY corresponding cosine describe a circle diagonal diameter distance divide Draw equal angles equal sides equiangular polygon equilateral triangle EXERCISES exterior angle exterior tangents feet Find the area FUNDAMENTAL PROPOSITION geometry given circle given line segment given point given straight line given triangle hypotenuse inches included angle inscribed intersecting isosceles trapezoid isosceles triangle Let the student mid-point number of sides opposite sides parallel lines parallelogram perimeter plane PROBLEM quadrilateral radian radii radius ratio rectangle regular polygon rhombus right angle right triangle rotate segment joining subtended symmetric with respect tangent THEOREM third side transversal trapezoid triangle ABC triangle are equal vertex vertices
Populære avsnitt
Side 203 - In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle.
Side 66 - Two triangles are congruent if two sides and the included angle of the one are equal, respectively, to two sides and the included angle of the other.
Side 63 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Side 184 - If from a point without a circle a secant and a tangent are drawn, the tangent is the mean proportional between the whole secant and its external segment.
Side 80 - ... the angle opposite the third side of the first triangle is greater than the angle opposite the third side of the second.
Side 162 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
Side 168 - 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. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Side 179 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Side 183 - If two chords intersect in a circle, the product of the segments of one is equal to the product of the segments of the other.