Elementary GeometryJ.B. Lippincott Company, 1893 |
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Αποτελέσματα 1 - 5 από τα 18.
Σελίδα 225
... prism is a polyedron two of whose oppo- site faces , called bases , are in parallel planes , and whose lateral edges ... prism are parallel ( VI . , Proposition V. , Corollary ) . 2d . All the lateral faces of a prism are parallelograms ...
... prism is a polyedron two of whose oppo- site faces , called bases , are in parallel planes , and whose lateral edges ... prism are parallel ( VI . , Proposition V. , Corollary ) . 2d . All the lateral faces of a prism are parallelograms ...
Σελίδα 226
... prism , a lateral edge is greater than the altitude . 8. Definition . A regular prism is a right prism whose bases are regular polygons . 9. Definition . If a prism , ABCDE - F , is intersected by a plane GK , not parallel to its base ...
... prism , a lateral edge is greater than the altitude . 8. Definition . A regular prism is a right prism whose bases are regular polygons . 9. Definition . If a prism , ABCDE - F , is intersected by a plane GK , not parallel to its base ...
Σελίδα 227
... prism made by parallel planes are equal polygons . For the portion of the prism in- Icluded between the two sections is a new prism ( 6 ) . Therefore its bases , which are the sections in question , are equal . 15. COROLLARY . Any ...
... prism made by parallel planes are equal polygons . For the portion of the prism in- Icluded between the two sections is a new prism ( 6 ) . Therefore its bases , which are the sections in question , are equal . 15. COROLLARY . Any ...
Σελίδα 228
... prism by a lateral edge . Let AD ' be a prism , and GHIKL a right section of it ; then the area of the convex surface of the prism is equal to the perimeter GHIKL multiplied by a lateral edge AA ' . H B ' E D B с E ' K For , the sides ...
... prism by a lateral edge . Let AD ' be a prism , and GHIKL a right section of it ; then the area of the convex surface of the prism is equal to the perimeter GHIKL multiplied by a lateral edge AA ' . H B ' E D B с E ' K For , the sides ...
Σελίδα 229
... prism coincide with the corresponding lateral edges of the first , the planes of all the corresponding lateral faces must coincide . There- fore , as all the corresponding faces of the two prisms coincide ( the bases included ) , the prisms ...
... prism coincide with the corresponding lateral edges of the first , the planes of all the corresponding lateral faces must coincide . There- fore , as all the corresponding faces of the two prisms coincide ( the bases included ) , the prisms ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles altitude angle BAC angles are equal apothem bisects centre chord coincide common cone construct convex Corollary cylinder Definition diagonal diameter dicular diedral angle distance divided draw equal circles equally distant equilateral equivalent Exercise find the locus frustum given circle given line given point given straight line greater Hence hypotenuse included angle inscribed angle intercepted arcs isosceles triangle lateral area lateral edges mean proportional middle point number of sides parallel lines parallelogram parallelopiped pass a plane pendicular perimeter perpen perpendicular plane MN plane passed polyedral angle Proposition VI Proposition VII quadrilateral radii radius ratio rectangle regular inscribed regular polygon respectively equal right angles right triangle Scholium secant secant line segment similar slant height sphere spherical polygon spherical triangle square surface tangent tetraedron Theorem triangle ABC triangles are equal triangular prism triedral upper base vertex volume
Δημοφιλή αποσπάσματα
Σελίδα 127 - The area of a rectangle is equal to the product of its base and altitude.
Σελίδα 196 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Σελίδα 131 - 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 245 - A truncated triangular prism is equivalent to the sum of three pyramids whose common base is the base of the prism, and whose vertices are the three vertices of the inclined section.
Σελίδα 278 - A lune is to the, surface of the sphere as the angle of the lune is to four right angles. Let...
Σελίδα 111 - The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides.
Σελίδα 48 - The three perpendiculars from the vertices of a triangle to the opposite sides meet in the same point.
Σελίδα 57 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Σελίδα 34 - The sum of the three angles of any triangle is equal to two right angles.