The Elements of Plane and Solid Geometry: With Chapters on Mensuration and Modern GeometryPorter & Coates, 1882 - 266 sider |
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Resultat 1-5 av 10
Side 171
... frustum of a cone or pyramid is the portion cut off toward the base by a plane parallel to the base . 12. Similar solids are such as are contained by the same number of similar planes , similarly placed . Similar cylin- ders and cones ...
... frustum of a cone or pyramid is the portion cut off toward the base by a plane parallel to the base . 12. Similar solids are such as are contained by the same number of similar planes , similarly placed . Similar cylin- ders and cones ...
Side 188
... frustum , and whose bases are the two bases of the frustum and a mean proportional between them . 1. Consider the triangular frustum ABC - DEF . Divide it into three por- tions by planes through the diagonals CD , CE and CD , DB . One ...
... frustum , and whose bases are the two bases of the frustum and a mean proportional between them . 1. Consider the triangular frustum ABC - DEF . Divide it into three por- tions by planes through the diagonals CD , CE and CD , DB . One ...
Side 192
... frustum of the pyramid with the frustum of the cone , and the three pyramids into which the frustum is divided with three cones . Hence the truth of the theorem . Scholium .-- If R , R ' be the radii of the bases of the frustum , H its ...
... frustum of the pyramid with the frustum of the cone , and the three pyramids into which the frustum is divided with three cones . Hence the truth of the theorem . Scholium .-- If R , R ' be the radii of the bases of the frustum , H its ...
Side 195
... frustum of a pyramid . 7. The lateral surface of a regular pyramid is greater than its base . 8. If a cylinder be cut by a plane through an element , the section is a parallelogram . 9. If a cone be cut by a plane through an element ...
... frustum of a pyramid . 7. The lateral surface of a regular pyramid is greater than its base . 8. If a cylinder be cut by a plane through an element , the section is a parallelogram . 9. If a cone be cut by a plane through an element ...
Side 220
... frustum of a pyramid . Add together the areas of the two ends and a mean propor- tional between them ; multiply the sum by one third the altitude . ( VIII . 19. ) 6. To find the surface of a frustum of a pyramid . Add together the ...
... frustum of a pyramid . Add together the areas of the two ends and a mean propor- tional between them ; multiply the sum by one third the altitude . ( VIII . 19. ) 6. To find the surface of a frustum of a pyramid . Add together the ...
Andre utgaver - Vis alle
The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ... Isaac Sharpless Uten tilgangsbegrensning - 1879 |
The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ... Isaac Sharpless Ingen forhåndsvisning tilgjengelig - 2016 |
The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ... Isaac Sharpless Ingen forhåndsvisning tilgjengelig - 2017 |
Vanlige uttrykk og setninger
A-BCD AB² ABCD altitude angle ABC angle ACB angle BAC base bisect centre of similitude chord circle ABC circumference cone Corollary cylinder decagon describe diagonals diameter divided draw equal angles equiangular feet figure find the volume four right angles frustum given circle given straight line greater Hence included angle inscribed interior angles intersection Let ABC meet middle point Multiply number of sides opposite angles parallelogram parallelopiped pass perimeter perpendicular plane pole polyedron prism Problem.-To Prop proportional Proposition 11 Proposition 13 pyramid quadrilateral radical axis radii radius rectangle contained regular polygon right angles Scholium segment semicircle similar similar triangles slant height solid solid angle sphere spherical angle spherical triangle square symmetrical tangent Theorem Theorem.-If triangle ABC vertex
Populære avsnitt
Side 56 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Side 77 - The angles in the same segment of a circle are equal to one another.
Side 81 - If a straight line touch a circle, and from the point of contact a...
Side 128 - Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM If the vertical angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides of the triangle is equal to the...
Side 17 - AXIOMS. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to equals the wholes are equal. 3. If equals be taken from equals the remainders are equal.
Side 110 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 64 - If a straight line be divided into two equal, and also into two unequal parts ; the squares on the two unequal parts are together double of the square on half the line, and of the square on the line between the points of section.
Side 164 - A be a solid angle contained by any number of plane angles BAC, CAD, DAE, EAF, FAB: these together are less than four right angles. Let the planes...
Side 17 - LET it be granted that a straight line may be drawn from any one point to any other point. 2. That a terminated straight line may be produced to any length in a straight line.
Side 127 - If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the...