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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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 25
... solidity of a pyramid , then , is equal to the space included between its base and a point called its vertex . A 12. If a pyramid SABCDE , be cut by a plane abcde paral- lel to its base , that portion cut off by this plane and lying ...
... solidity of a pyramid , then , is equal to the space included between its base and a point called its vertex . A 12. If a pyramid SABCDE , be cut by a plane abcde paral- lel to its base , that portion cut off by this plane and lying ...
Σελίδα 41
... solidity ; and this word is exclusively employed to designate the measure of a solid : thus we say the solidity of a rectangular parallelopipedon is equal to the product of its base by its altitude , or to the product of its three ...
... solidity ; and this word is exclusively employed to designate the measure of a solid : thus we say the solidity of a rectangular parallelopipedon is equal to the product of its base by its altitude , or to the product of its three ...
Σελίδα 42
... solidity of the latter is equal to its base multiplied by its altitude ; hence that of a triangular prism is also equal to the product of its base , which is half that of the parallelopipedon , multiplied into its altitude . In the ...
... solidity of the latter is equal to its base multiplied by its altitude ; hence that of a triangular prism is also equal to the product of its base , which is half that of the parallelopipedon , multiplied into its altitude . In the ...
Σελίδα 43
Nathan Scholfield. whose solidity ( Prop . XVI . Cor . 2 ) is equal to the base ECDF multiplied by its vertical height EA , or its solidity is equal to the base AaCE multiplied by the vertical height AB . But the triangular base AEC of ...
Nathan Scholfield. whose solidity ( Prop . XVI . Cor . 2 ) is equal to the base ECDF multiplied by its vertical height EA , or its solidity is equal to the base AaCE multiplied by the vertical height AB . But the triangular base AEC of ...
Σελίδα 44
... solidity of any prism , whose base is a regular polygon , is equal to the convex surface multiplied by half the radius of the circle inscribed in the base . Scholium 1. As all the triangular prisms composing any polygonal prism , are ...
... solidity of any prism , whose base is a regular polygon , is equal to the convex surface multiplied by half the radius of the circle inscribed in the base . Scholium 1. As all the triangular prisms composing any polygonal prism , are ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Plane (Solid) Geometry (Higher Geometry) and Trigonometry (and ... Nathan Scholfield Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 36 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Σελίδα 116 - E to A, from A to B, from B to C, and from C to...
Σελίδα 35 - The sum of any two sides of a triangle, is greater than the third side.
Σελίδα 60 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Σελίδα 56 - In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs.
Σελίδα 38 - The volumes of similar solids are to each other as the cubes of their like dimensions.
Σελίδα 75 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Σελίδα 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...
Σελίδα 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...
Σελίδα 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.