Plane Geometry: With Problems and ApplicationsAllyn and Bacon, 1910 - 280 páginas |
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Página 10
... vertices . The symbol A is used for the word triangle . B C a A C b Each angle of a triangle has one side opposite and two sides adjacent to it . Similarly each side of a triangle has one angle opposite and two angles adjacent to it ...
... vertices . The symbol A is used for the word triangle . B C a A C b Each angle of a triangle has one side opposite and two sides adjacent to it . Similarly each side of a triangle has one angle opposite and two angles adjacent to it ...
Página 12
... vertices of a triangle ; also whether J , O , G may be . 5. Pick out ten obtuse triangles in this figure ; also ten acute triangles . CONGRUENCE OF GEOMETRIC FIGURES . 26. In comparing geometric figures it is assumed that they may be ...
... vertices of a triangle ; also whether J , O , G may be . 5. Pick out ten obtuse triangles in this figure ; also ten acute triangles . CONGRUENCE OF GEOMETRIC FIGURES . 26. In comparing geometric figures it is assumed that they may be ...
Página 46
... vertices is greater than one - half the sum of the sides of the triangle . A C B 3. Show that the segment joining the vertex of an isosceles tri- angle to any point in the base is less than either of the equal sides . 4. Show that any ...
... vertices is greater than one - half the sum of the sides of the triangle . A C B 3. Show that the segment joining the vertex of an isosceles tri- angle to any point in the base is less than either of the equal sides . 4. Show that any ...
Página 54
... vertices . Two sides are adjacent if they meet in a vertex , as AB and BC . Otherwise they are opposite , as AB and CD . Two vertices are adjacent if they lie on the same side , as A and Otherwise they are opposite , as A and C. B. A ...
... vertices . Two sides are adjacent if they meet in a vertex , as AB and BC . Otherwise they are opposite , as AB and CD . Two vertices are adjacent if they lie on the same side , as A and Otherwise they are opposite , as A and C. B. A ...
Página 64
... vertices , what kind of a triangle is it ? If only one ? 8. Find the locus of the middle points of the segments joining a vertex of a triangle to all points on the opposite side . 9. Given a line l and a point P not in the line . Find ...
... vertices , what kind of a triangle is it ? If only one ? 8. Find the locus of the middle points of the segments joining a vertex of a triangle to all points on the opposite side . 9. Given a line l and a point P not in the line . Find ...
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Términos y frases comunes
ABCD acute angle adjacent angles altitude angle formed angles are equal apothem axes of symmetry axioms base bisects called central angle chord circle tangent circumscribed coincide congruent corresponding sides Definition diagonal diameter distance divided dodecagon Draw drawn equal angles equal circles equiangular equilateral triangle EXERCISES exterior angle figure Find the area Find the locus Find the radius fixed point geometric Give the proof given point given segment given triangle Hence hypotenuse hypothesis inches inscribed intersection isosceles trapezoid isosceles triangle l₁ length line-segment measure meet middle points number of sides Outline of Proof parallel lines parallelogram perigon perimeter plane proof in full quadrilateral radii ratio rectangle regular hexagon regular octagon regular polygon rhombus right angles right triangle secant semicircle Show shown square straight angle straight line subtend SUGGESTION THEOREM trapezoid triangle ABC vertex vertices width
Pasajes populares
Página 223 - If two triangles have two sides of the one equal to two sides of the other...
Página 41 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Página 121 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Página 60 - The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it 46 INTERCEPTS BY PARALLEL LINES.
Página 182 - 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.
Página 161 - 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.
Página 227 - Find the locus of a point such that the difference of the squares of its distances from two fixed points is a constant.
Página 210 - The area of a rectangle is equal to the product of its base and altitude.
Página 31 - Kuclid divided unproved propositions into two classes: axioms, or "common notions," which are true of all things, such as, " If things are equal to the same thing they are equal to each other"; and postulates, which apply only to geometry, such as,