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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Resultat 1-5 av 67
Side 176
... circumscribed about a square and another circle be inscribed , the circumscribed circle will be double the inscribed ... circumscribing square will be double the inscribed square . PROPOSITION XXVII . PROBLEM . If on the sides of a right ...
... circumscribed about a square and another circle be inscribed , the circumscribed circle will be double the inscribed ... circumscribing square will be double the inscribed square . PROPOSITION XXVII . PROBLEM . If on the sides of a right ...
Side 184
... circumscribing & circle C ; then by the foregoing we have area C area P :: circum . C : perim . P , area C area P ' :: circum . C : perim . P ' . But since the antecedents of both these proportions are alike , the consequents are ...
... circumscribing & circle C ; then by the foregoing we have area C area P :: circum . C : perim . P , area C area P ' :: circum . C : perim . P ' . But since the antecedents of both these proportions are alike , the consequents are ...
Side 210
... Circumscribing Circle is 1 . No. of Area . Length of the side . Radius of in- Sides . scribed circle . 3456789 1.2990331 1.7320508 0.5000000 2.0000000 1.4142136 0.7071068 2.3776412 1.1755705 0.8090170 2.5980762 1.0000000 0.8660254 ...
... Circumscribing Circle is 1 . No. of Area . Length of the side . Radius of in- Sides . scribed circle . 3456789 1.2990331 1.7320508 0.5000000 2.0000000 1.4142136 0.7071068 2.3776412 1.1755705 0.8090170 2.5980762 1.0000000 0.8660254 ...
Side 212
Nathan Scholfield. And because the radii of the circumscribed and inscribed circles of similar polygons are directly as ... circumscribing circle , about an octagon , is 5 ; then , by Table II . 52 × 2.8284271 = 70.71068 , area of octagon ...
Nathan Scholfield. And because the radii of the circumscribed and inscribed circles of similar polygons are directly as ... circumscribing circle , about an octagon , is 5 ; then , by Table II . 52 × 2.8284271 = 70.71068 , area of octagon ...
Side 213
... circumscribing circle . That when the radius of the circumscribing circle is 1 , the area of the square which it circumscribes is 2 , that of the octagon which it circumscribes is 2/2 , and the area of the dodecagon which the said ...
... circumscribing circle . That when the radius of the circumscribing circle is 1 , the area of the square which it circumscribes is 2 , that of the octagon which it circumscribes is 2/2 , and the area of the dodecagon which the said ...
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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.