College Entrance Examination Papers in Plane GeometryCharles E. Merrill Company, 1911 - 178 sider |
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Side 13
... extremities . The tangents meet at an angle of 60 ° . The riders are to go round the track , one on a line close to the inner edge , the other on a line everywhere 51 feet outside the first line . Show that the second rider is ...
... extremities . The tangents meet at an angle of 60 ° . The riders are to go round the track , one on a line close to the inner edge , the other on a line everywhere 51 feet outside the first line . Show that the second rider is ...
Side 16
... extremity , show that the perpendiculars dropped from the middle point of the arc on the tangent and chord , respectively , are equal . One extremity of the base of a triangle is given and the centre of the circumscribed circle . What ...
... extremity , show that the perpendiculars dropped from the middle point of the arc on the tangent and chord , respectively , are equal . One extremity of the base of a triangle is given and the centre of the circumscribed circle . What ...
Side 17
... extremities envelops the other , the first is the longer . 2. Prove that , when two circumferences intersect each . other , the line which joins their centres bisects at right angles their common chord . The centres of two circles of ...
... extremities envelops the other , the first is the longer . 2. Prove that , when two circumferences intersect each . other , the line which joins their centres bisects at right angles their common chord . The centres of two circles of ...
Side 18
... extremities is equal to the diameter of either circle and parallel to the line which joins their centres . A circle ... extremity of 18 PLANE GEOMETRY.
... extremities is equal to the diameter of either circle and parallel to the line which joins their centres . A circle ... extremity of 18 PLANE GEOMETRY.
Side 19
joins the centre of the circle with one extremity of this chord ? 4. Prove that if a straight line divides two sides of a triangle proportionally , it is parallel to the third side . Show how to draw a line parallel to the base of a ...
joins the centre of the circle with one extremity of this chord ? 4. Prove that if a straight line divides two sides of a triangle proportionally , it is parallel to the third side . Show how to draw a line parallel to the base of a ...
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College Entrance Examination Papers in Plane Geometry (Classic Reprint) Charles A. Marsh Ingen forhåndsvisning tilgjengelig - 2017 |
College Entrance Examination Papers in Plane Geometry (Classic Reprint) Charles A. Marsh Ingen forhåndsvisning tilgjengelig - 2017 |
Vanlige uttrykk og setninger
ABCD adjacent angles altitude angle is equal apothem bisector bisects centre circle of radius circum circumference circumscribed circle diameter dihedral angles distance equal angles equal circles equal respectively equal to one-half equilateral triangle EXAMINATIONS IN PLANE external segment feet Find the area Find the length Find the locus fixed point GEOMETRY FOR ADMISSION given circle given line given point given straight line homologous sides hypotenuse included angle inscribed circle intercepted arcs interior angles isosceles triangle joining the middle JUNE lines drawn mean proportional measured by one-half middle points non-parallel sides number of sides opposite side parallel lines parallelogram PLANE GEOMETRY point of contact point of intersection quadrilateral radii ratio rectangle regular hexagon regular polygon rhombus right angles right triangle SEPTEMBER Show similar polygons similar triangles solid geometry subtends theorem third side three sides trapezoid triangle ABC triangle divides triangles are equal triangles are similar vertex whole secant zoid
Populære avsnitt
Side 96 - 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.
Side 52 - ... meeting the plane at unequal distances from the foot of the perpendicular the more remote is the greater.
Side 84 - Two triangles which have an angle of one equal to the supplement of an angle of the other are to each other as the products of the sides including the supplementary angles.
Side 16 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Side 95 - 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.
Side 17 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.
Side 59 - Construct a circle having its center in a given line and passing through two given points. 3. The bisector of the angle of a triangle divides the opposite side into segments which are proportional to the two other sides.
Side 172 - Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides.
Side 135 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Side 60 - The area of a circle is equal to one-half the product of its circumference and radius.