Plane Geometry Developed by the Syllabus MethodAmerican Book Company, 1909 - 192 Seiten |
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Seite 40
... joining two non - consecutive vertices of a polygon is called a diagonal . 73. Concave , Convex , and Cross Polygons . A polygon is said to be convex if no side when produced could cut the surface of the polygon . Unless otherwise ...
... joining two non - consecutive vertices of a polygon is called a diagonal . 73. Concave , Convex , and Cross Polygons . A polygon is said to be convex if no side when produced could cut the surface of the polygon . Unless otherwise ...
Seite 72
... joining the ends of the sects obtained is a regular octagon . 80. On diagonal BD of parallelogram ABCD , points K and L are taken so that BK = LD . Prove that AKCL is a parallelogram . 81. Perpendiculars from opposite vertices of a ...
... joining the ends of the sects obtained is a regular octagon . 80. On diagonal BD of parallelogram ABCD , points K and L are taken so that BK = LD . Prove that AKCL is a parallelogram . 81. Perpendiculars from opposite vertices of a ...
Seite 73
... joining the midpoints of two sides of a triangle is parallel to the third side , and equals one half that side . 145 ... joining the other two vertices . 89. The lines joining the midpoints of the opposite sides of a quad- rilateral ...
... joining the midpoints of two sides of a triangle is parallel to the third side , and equals one half that side . 145 ... joining the other two vertices . 89. The lines joining the midpoints of the opposite sides of a quad- rilateral ...
Seite 74
... joining the midpoints of the legs of a trapezoid is parallel to the bases . 93. What line passes through the midpoints of all the lines drawn from a point to a line ? 94. If , in an isosceles triangle , any number of parallels to the ...
... joining the midpoints of the legs of a trapezoid is parallel to the bases . 93. What line passes through the midpoints of all the lines drawn from a point to a line ? 94. If , in an isosceles triangle , any number of parallels to the ...
Seite 82
... joining the midpoints of the consecutive sides of a quadrilateral form a parallelogram . Examine the special cases , such as parallelogram , rhombus , rectangle , square . 125. Find out everything possible about the diagonals of a ...
... joining the midpoints of the consecutive sides of a quadrilateral form a parallelogram . Examine the special cases , such as parallelogram , rhombus , rectangle , square . 125. Find out everything possible about the diagonals of a ...
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Plane Geometry Developed by the Syllabus Method Eugene Randolph Smith Keine Leseprobe verfügbar - 2013 |
Häufige Begriffe und Wortgruppen
altitude angles are equal angles equal apothem axiom axis base bisects called central angles chord circular cylinder circumcenter circumference congruent Construct a triangle cube diagonal diameter dihedral angle distance divided draw drawn edge equal angles equilateral triangle equivalent exterior angle figure Find the area Find the locus Find the volume formula frustum given circle given line given point given sect hypotenuse intersecting lines isosceles triangle lateral area line parallel line perpendicular locus of points lune median meet method midpoints number of sides opposite sides pair parallel planes parallelepiped parallelogram perigon perimeter plane geometry points equidistant polyhedral angle polyhedron prism Prismatoid proof propositions prove pyramid quadrilateral radii rectangle regular inscribed regular polygon right angle right circular cone right triangle secant solid geometry spherical angle spherical polygon spherical triangle straight angle straight line surface tangent Theorem third side trapezoid triangle ABC unequal vertices
Beliebte Passagen
Seite 343 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Seite 329 - The sum of the sides of any spherical polygon is less than the circumference of a great circle.
Seite 297 - Every section of a circular cone made by a plane parallel to the base is a circle.
Seite 260 - The acute angle which a straight line makes with its own projection upon a plane is the least angle it makes with any line of that plane.
Seite 389 - 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.
Seite 48 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Seite 73 - 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.
Seite 212 - To prove the conclusion, it is necessary to use the additional geometrical principle that but one parallel to a given line can be drawn through a given point.
Seite 304 - The volume of a circular cone is equal to one third the product of its base by its altitude.
Seite 311 - The greatest right circular cylinder that can be inscribed in a right circular cone is one whose altitude is one third that of the cone.