The Elements of Plane and Solid Geometry ...D. Van Nostrand Company, 1890 - 393 sider |
Inni boken
Resultat 1-5 av 41
Side vii
... SPHERE . Circles of the Sphere and Tangent Plancs .. 334 Spherical Triangles and Polygons ... 342 Relation of a Spherical Polygon to a Polyedral Angle 344 Symmetrical Spherical Triangles ... 345 Polar Triangles .... 349 Relative Areas of ...
... SPHERE . Circles of the Sphere and Tangent Plancs .. 334 Spherical Triangles and Polygons ... 342 Relation of a Spherical Polygon to a Polyedral Angle 344 Symmetrical Spherical Triangles ... 345 Polar Triangles .... 349 Relative Areas of ...
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 . ᎧᎧᎧ 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 . ᎧᎧᎧ Problems.
Side 334
... should be furnished with a spherical black - board , on which the student should draw the diagrams of spherical surfaces . Proposition 1. Theorem . 664. Every section of a sphere 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 . Proposition 1. Theorem . 664. Every section of a sphere 334 BOOK VIII THE SPHERE Circles of the Sphere and Tangent ...
Side 335
... sphere , .. OA = OC . P O ' P ' ( 658 ) And since OA and OC are equal oblique lines from 0 to the plane ACB , .. O'A ... sphere by a plane is called a circle of the sphere . If the plane passes through the centre of the sphere , the ...
... sphere , .. OA = OC . P O ' P ' ( 658 ) And since OA and OC are equal oblique lines from 0 to the plane ACB , .. O'A ... sphere by a plane is called a circle of the sphere . If the plane passes through the centre of the sphere , the ...
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 ...
Innhold
1 | |
8 | |
14 | |
23 | |
33 | |
46 | |
52 | |
64 | |
74 | |
88 | |
102 | |
123 | |
134 | |
143 | |
149 | |
155 | |
168 | |
175 | |
187 | |
200 | |
208 | |
282 | |
302 | |
316 | |
325 | |
334 | |
342 | |
349 | |
360 | |
366 | |
378 | |
386 | |
Andre utgaver - Vis alle
ELEMENTS OF PLANE & SOLID GEOM Edward a. (Edward Albert) 1845 Bowser Ingen forhåndsvisning tilgjengelig - 2016 |
ELEMENTS OF PLANE & SOLID GEOM Edward a. (Edward Albert) 1845 Bowser Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
ABCD adjacent angles altitude angles are equal base bisect bisector centre chord circumference circumscribed coincide cone of revolution Cons construct cylinder diagonals diameter diedral angle distance divided draw equally distant equilateral triangle 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 prove Proof 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 57 - 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 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 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.
Side 378 - The circumferences of the sections made by the planes are called the bases of the zone, and the distance between the planes is the altitude of the zone.