Elements of plane (solid) geometry (Higher geometry) and trigonometry (and mensuration), being the first (-fourth) part of a series on elementary and higher geometry, trigonometry, and mensuration |
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Side 72
... axis at the point I. Every section PQG , made through the axis , is a rectangle double of the generating rectangle ABCD . The Archimedean cylinder is that which circumscribes a sphere , or whose altitude is equal to the diameter of its ...
... axis at the point I. Every section PQG , made through the axis , is a rectangle double of the generating rectangle ABCD . The Archimedean cylinder is that which circumscribes a sphere , or whose altitude is equal to the diameter of its ...
Side 74
... axis . 12. A regular polyedroid is one formed by the revolution of a regular semipolygon about its axis . 13. Polyedroids receive particular names according to the number of sides of the polygons by which they are supposed to be ...
... axis . 12. A regular polyedroid is one formed by the revolution of a regular semipolygon about its axis . 13. Polyedroids receive particular names according to the number of sides of the polygons by which they are supposed to be ...
Side 78
... axis , or meeting in the axis and forming a plane angle , is equal to the product of its convex surface , multiplied by half the radius of the base . Thus , if the planes AGOC and BHOC meet in the axis OC of the cylinder , the section ...
... axis , or meeting in the axis and forming a plane angle , is equal to the product of its convex surface , multiplied by half the radius of the base . Thus , if the planes AGOC and BHOC meet in the axis OC of the cylinder , the section ...
Side 86
... axis of a conic surface , or the axis produced downward from the base , and if a line be drawn from that point to meet the convex surface perpen- dicularly , at the point of contact , or that surface produced , if necessary , then the ...
... axis of a conic surface , or the axis produced downward from the base , and if a line be drawn from that point to meet the convex surface perpen- dicularly , at the point of contact , or that surface produced , if necessary , then the ...
Side 93
... axis . C MK N Р A B Scholium . The general solution appears to include the sup- position that AB produced will meet the axis ; but the results would be equally true , though AB were parallel to the axis . Thus the cylinder described by ...
... axis . C MK N Р A B Scholium . The general solution appears to include the sup- position that AB produced will meet the axis ; but the results would be equally true , though AB were parallel to the axis . Thus the cylinder described by ...
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Elements of Plane (Solid) Geometry (Higher Geometry) and Trigonometry (and ... Nathan Scholfield Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
ABCD abscissa altitude axis bisect chord circle circular segment circum circumference circumscribing cone conjugate construction convex surface cosec cosine cube curve cylinder described diameter distance divided draw ellipse equal to half equation equivalent feet figure formed frustum Geom geometry given hence hyperbola hypothenuse inches inscribed inscribed sphere latus rectum length logarithm magnitude measured multiplied by one-third number of sides opposite ordinates parabola parallel parallelogram perimeter perpendicular plane polyedroid polyedron polygon portion prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon revoloid rhomboid right angled triangle right line root Scholium sector segment similar similar triangles sine slant height solid angle sphere spherical square straight line tangent THEOREM triangle ABC triangular triangular prism ungula vertex vertical virtual centre
Populære avsnitt
Side 36 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Side 35 - The sum of any two sides of a triangle, is greater than the third side.
Side 60 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Side 56 - In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs.
Side 38 - The volumes of similar solids are to each other as the cubes of their like dimensions.
Side 75 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Side 86 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let...
Side 211 - To find the solidity of a hyperbolic conoid, or otherwise called a hyperboloid. RULE. To the square of the radius of the base, add the square of the diameter...
Side 48 - Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon has sides, and consequently, equal to the sum of the interior angles plus the exterior angles.