Plane GeometryH. Holt, 1915 - 223 sider |
Inni boken
Resultat 1-5 av 40
Side vii
... TRIANGLES Triangles Congruent triangles . General theorems The isosceles triangle Right triangles Inequalities Construction problems 62 65 69 73 77 82 CHAPTER IV QUADRILATERALS AND POLYGONS IN GENERAL Polygons ; quadrilaterals vii.
... TRIANGLES Triangles Congruent triangles . General theorems The isosceles triangle Right triangles Inequalities Construction problems 62 65 69 73 77 82 CHAPTER IV QUADRILATERALS AND POLYGONS IN GENERAL Polygons ; quadrilaterals vii.
Side ix
... right triangle Oblique triangles Computation problems Measurement of the circle 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 ...
... right triangle Oblique triangles Computation problems Measurement of the circle 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 ...
Side x
... triangle , A , triangles . Rt . A , right triangle . ☐ , parallelogram . [ s , parallelograms . rt . , right , st . , straight . The signs + , and arithmetic . R. , right angle . Def . , definition . F.P. , fundamental proposition . Ax ...
... triangle , A , triangles . Rt . A , right triangle . ☐ , parallelogram . [ s , parallelograms . rt . , right , st . , straight . The signs + , and arithmetic . R. , right angle . Def . , definition . F.P. , fundamental proposition . Ax ...
Side 20
... right angle contains 90 de- grees , a degree 60 minutes , and a minute 60 seconds . 70. Draftsmen's triangles . For ... triangle ( Fig . 24 ) , form angles of 90 ° and 45 ° , respectively ; the edges of the other , called the 60 - degree - 30 ...
... right angle contains 90 de- grees , a degree 60 minutes , and a minute 60 seconds . 70. Draftsmen's triangles . For ... triangle ( Fig . 24 ) , form angles of 90 ° and 45 ° , respectively ; the edges of the other , called the 60 - degree - 30 ...
Side 63
... triangle is equal to two right angles ( 2R ) . M A B α B N Given FIG . 72 . the triangle ABC , with the angles a , ẞ , y . To prove that a + B + y = 2 R. Proof . 1. Draw MN through A parallel to BC , forming angles B ' and y ' as shown ...
... triangle is equal to two right angles ( 2R ) . M A B α B N Given FIG . 72 . the triangle ABC , with the angles a , ẞ , y . To prove that a + B + y = 2 R. Proof . 1. Draw MN through A parallel to BC , forming angles B ' and y ' as shown ...
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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.