The Elements of Plane and Solid Geometry: With Numerous ExercisesD.C. Heath & Company, 1890 - 393 σελίδες |
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Αποτελέσματα 1 - 5 από τα 29.
Σελίδα 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 ...
Σελίδα 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.
Σελίδα 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 ...
Σελίδα 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 ...
Σελίδα 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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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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'.
Σελίδα 137 - Terms of the proportion. The first and fourth terms are called the Extremes, and the second and third the Means.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 12 - LET it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 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.