The Elements of Plane and Solid Geometry ...D. Van Nostrand Company, 1890 - 393 sider |
Inni boken
Resultat 1-5 av 16
Side vii
... BOOK IX . THE THREE ROUND BODIES . The Cylinder ... 366 The Cone .... 371 The Sphere . 378 Exercises . Theorems .... 386 Numerical Exercises . 388 ELEMENTARY GEOMETRY . INTRODUCTION . DEFINITIONS . 1. SPACE is TABLE OF CONTENTS . vii.
... BOOK IX . THE THREE ROUND BODIES . The Cylinder ... 366 The Cone .... 371 The Sphere . 378 Exercises . Theorems .... 386 Numerical Exercises . 388 ELEMENTARY GEOMETRY . INTRODUCTION . DEFINITIONS . 1. SPACE is TABLE OF CONTENTS . vii.
Side 366
... cone , and the sphere , which are called the three round bodies . THE CYLINDER . DEFINITIONS . E 741. A cylindrical surface is a surface generated by the motion of a straight line AB , called the generatrix , which constantly touches a ...
... cone , and the sphere , which are called the three round bodies . THE CYLINDER . DEFINITIONS . E 741. A cylindrical surface is a surface generated by the motion of a straight line AB , called the generatrix , which constantly touches a ...
Side 371
... cone is a solid bounded by a conical surface and a plane cutting all its elements . The conical surface is called the lateral surface . The base of a cone is its plane surface . The altitude of a cone is the perpendicular distance from ...
... cone is a solid bounded by a conical surface and a plane cutting all its elements . The conical surface is called the lateral surface . The base of a cone is its plane surface . The altitude of a cone is the perpendicular distance from ...
Side 373
... cone made by a plane parallel to the base is a circle . Hyp . Let the section abc of the circu- lar cone S - ABC be || to the base . To prove that abc is a O. Proof . Let SO be the axis of the cone , cutting the plane of the || section ...
... cone made by a plane parallel to the base is a circle . Hyp . Let the section abc of the circu- lar cone S - ABC be || to the base . To prove that abc is a O. Proof . Let SO be the axis of the cone , cutting the plane of the || section ...
Side 374
... cone of revolution is equal to the product of the circumference of its base by half its slant height . Hyp . Let S , C , L denote the lateral area of the cone , the Oce of its base , and its slant height , respectively . To prove S ...
... cone of revolution is equal to the product of the circumference of its base by half its slant height . Hyp . Let S , C , L denote the lateral area of the cone , the Oce of its base , and its slant height , respectively . To prove S ...
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.