The Elements of Plane and Solid Geometry: With Numerous ExercisesD.C. Heath & Company, 1890 - 393 sider |
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Side vii
... SPHERE . Circles of the Sphere and Tangent Planes .. Spherical Triangles and Polygons ..... Relation of a Spherical Polygon to a Polyedral Angle . Symmetrical Spherical Triangles .... Polar Triangles ... Relative Areas of Spherical ...
... SPHERE . Circles of the Sphere and Tangent Planes .. Spherical Triangles and Polygons ..... Relation of a Spherical Polygon to a Polyedral Angle . Symmetrical Spherical Triangles .... Polar Triangles ... Relative Areas of Spherical ...
Side 333
... three of its edges on these lines . 79. To cut a solid tetraedral angle by a plane , so that the section shall be a parallelogram . BOOK VIII . * THE SPHERE . + CIRCLES OF BOOK VII . - NUMERICAL EXERCISES . 333 Problems.
... three of its edges on these lines . 79. To cut a solid tetraedral angle by a plane , so that the section shall be a parallelogram . BOOK VIII . * THE SPHERE . + CIRCLES OF BOOK VII . - NUMERICAL EXERCISES . 333 Problems.
Side 334
... should be furnished with a spherical black - board , on which the student should draw the diagrams of spherical surfaces . cle . Proposition 1. Theorem . 664. Every section of 334 BOOK VIII THE SPHERE Circles of the Sphere and Tangent ...
... should be furnished with a spherical black - board , on which the student should draw the diagrams of spherical surfaces . cle . Proposition 1. Theorem . 664. Every section of 334 BOOK VIII THE SPHERE Circles of the Sphere and Tangent ...
Side 335
... sphere made by a plane is a cir- Hyp . Let ACB be a plane section of the sphere whose centre is 0 . To prove that ACB is a O. Proof . Draw 00 ' to the plane ACB meeting it in O ' , and draw OA , OC to any two pts . in the section ...
... sphere made by a plane is a cir- Hyp . Let ACB be a plane section of the sphere whose centre is 0 . To prove that ACB is a O. Proof . Draw 00 ' to the plane ACB meeting it in O ' , and draw OA , OC to any two pts . in the section ...
Side 336
... sphere , perpendicular to its plane , passes through the centre of the sphere . ( 664 ) Therefore , the axis of a circle passes through its centre ( 666 ) , and all parallel circles have the same axis and the same poles . 668. Cor . 2 ...
... sphere , perpendicular to its plane , passes through the centre of the sphere . ( 664 ) Therefore , the axis of a circle passes through its centre ( 666 ) , and all parallel circles have the same axis and the same poles . 668. Cor . 2 ...
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The Elements of Plane and Solid Geometry: With Numerous Exercises Edward Albert Bowser Uten tilgangsbegrensning - 1891 |
Vanlige uttrykk og setninger
ABCD adjacent angles altitude angles are equal base bisect bisector called centre chord circumference circumscribed coincide common cone of revolution Cons construct cylinder diagonals diameter diedral angle distance divided draw equally distant equivalent EXERCISES exterior angle faces feet Find the area Find the volume frustum given circle given line given point given straight line homologous homologous sides hypotenuse inches intersection isosceles triangle lateral area lateral edges Let ABC meet middle point number of sides parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced Proposition Proposition 13 pyramid quadrilateral radii radius ratio rectangle rectangular parallelopiped regular inscribed regular polygon right angles segment similar slant height sphere spherical polygon spherical triangle square surface symmetrical tangent tetraedron Theorem triangle ABC triangular prism triedral vertex
Populære avsnitt
Side 74 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Side 188 - Two triangles having 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 45 - If two triangles have two sides of the 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. Hyp. In A ABC and A'B'C' AB = A'B'; AC = A'C'; ZA>ZA'.
Side 137 - Terms of the proportion. The first and fourth terms are called the Extremes, and the second and third the Means.
Side 12 - AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal.
Side 206 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part.
Side 97 - BAC, inscribed in a segment greater than a semicircle, is an acute angle ; for it is measured by half of the arc BOC, less than a semicircumference.
Side 334 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Side 12 - LET it be granted that a straight line may be drawn from any one point to any other point.
Side 253 - Equal oblique lines from a point to a plane meet the plane at equal distances from the foot of the perpendicular ; and of two unequal oblique lines the greater meets the plane at the greater distance from the foot of the perpendicular.