The Elements of Plane and Solid Geometry ...D. Van Nostrand Company, 1890 - 393 Seiten |
Im Buch
Ergebnisse 1-5 von 13
Seite 309
... 634. SCH . The volume of any polyedron may be found by dividing it into pyramids , and computing the volume of each pyramid . Proposition 19. Theorem . 635. A frustum of a triangular BOOK VII . - VOLUME OF A PYRAMID . 309.
... 634. SCH . The volume of any polyedron may be found by dividing it into pyramids , and computing the volume of each pyramid . Proposition 19. Theorem . 635. A frustum of a triangular BOOK VII . - VOLUME OF A PYRAMID . 309.
Seite 311
... frustum , and for its base the mean proportiɔnal between the two bases B and b . Since the given frustum is the sum of P , Q and R , • ' • . V = } 1⁄2 × B + 3h × b + žh √ B × b = = } 1⁄2 ( B + b + √Bʊ ) . Q.E.D. Proposition 20 ...
... frustum , and for its base the mean proportiɔnal between the two bases B and b . Since the given frustum is the sum of P , Q and R , • ' • . V = } 1⁄2 × B + 3h × b + žh √ B × b = = } 1⁄2 ( B + b + √Bʊ ) . Q.E.D. Proposition 20 ...
Seite 326
... frustum of a regular four - sided pyramid is 8 feet high , and the sides of its bases are 3 feet and 5 feet : find the height of an equivalent regular pyramid whose base is 10 feet square . Proposition 28. Theorem . * 656. The sum of ...
... frustum of a regular four - sided pyramid is 8 feet high , and the sides of its bases are 3 feet and 5 feet : find the height of an equivalent regular pyramid whose base is 10 feet square . Proposition 28. Theorem . * 656. The sum of ...
Seite 331
... frustum of a regular triangu- lar pyramid , the sides of whose bases are 8 and 6 , and whose lateral edge is 5 . 51 ... frustum of a regular triangular pyramid , the sides of whose bases are 5 1/3 and W3 , and whose altitude is 3 ; ( 3 ) ...
... frustum of a regular triangu- lar pyramid , the sides of whose bases are 8 and 6 , and whose lateral edge is 5 . 51 ... frustum of a regular triangular pyramid , the sides of whose bases are 5 1/3 and W3 , and whose altitude is 3 ; ( 3 ) ...
Seite 333
... frustum of a pyramid is 16 inches , and two homologous edges of its bases are 8 and 6 inches : find the ratio of the volume of the frustum to that of the entire pyramid . 73. Show that the volume of a regular tetraedron is equal to the ...
... frustum of a pyramid is 16 inches , and two homologous edges of its bases are 8 and 6 inches : find the ratio of the volume of the frustum to that of the entire pyramid . 73. Show that the volume of a regular tetraedron is equal to the ...
Inhalt
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 | |
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 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.
Seite 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'.
Seite 137 - Terms of the proportion. The first and fourth terms are called the Extremes, and the second and third the Means.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.