Plane GeometryH. Holt, 1915 - 223 sider |
Inni boken
Resultat 1-5 av 51
Side vii
... Tangents Common tangents Angle and circle Adjacent angles ; vertical angles Central symmetry PAGE 1 4 10 14 18 23 26 33 37 . 42 • 45 CHAPTER II PARALLEL LINES Formal statement of proof Parallel lines Converse propositions 7285 47 52 60 ...
... Tangents Common tangents Angle and circle Adjacent angles ; vertical angles Central symmetry PAGE 1 4 10 14 18 23 26 33 37 . 42 • 45 CHAPTER II PARALLEL LINES Formal statement of proof Parallel lines Converse propositions 7285 47 52 60 ...
Side ix
... Regular polygons and circles Measurement of arcs of a circle Three - place table of sines , cosines , and tangents INDEX 194 202 204 208 211 . 215 218 219 SYMBOLS AND ABBREVIATIONS USED IN GEOMETRY - , × , CONTENTS ix.
... Regular polygons and circles Measurement of arcs of a circle Three - place table of sines , cosines , and tangents INDEX 194 202 204 208 211 . 215 218 219 SYMBOLS AND ABBREVIATIONS USED IN GEOMETRY - , × , CONTENTS ix.
Side 25
... based on " the square net , " that is , a series of parallel lines equal distances apart , crossed by a like series of parallels at right angles to the first . MORE ABOUT THE CIRCLE . TANGENTS 86. In § 44 PARALLELS 25.
... based on " the square net , " that is , a series of parallel lines equal distances apart , crossed by a like series of parallels at right angles to the first . MORE ABOUT THE CIRCLE . TANGENTS 86. In § 44 PARALLELS 25.
Side 26
... in a point which is bisectors of AB and BC . equally distant from A , B , and C. Let the pupil explain . See §§ 83 , 58 . 90. Relative positions of a straight line and circle in 26 PLANE GEOMETRY More about the circle Tangents.
... in a point which is bisectors of AB and BC . equally distant from A , B , and C. Let the pupil explain . See §§ 83 , 58 . 90. Relative positions of a straight line and circle in 26 PLANE GEOMETRY More about the circle Tangents.
Side 27
... tangent to a circle . A straight line in the plane of a circle which has only one point in common with the circle is said to be tangent to the circle . The circle is also said to be tangent to the line . The common point is called the ...
... tangent to a circle . A straight line in the plane of a circle which has only one point in common with the circle is said to be tangent to the circle . The circle is also said to be tangent to the line . The common point is called 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.