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 29
... curve line is such that if traced by a point , the point continually changes its direction , as the line CD . 10. The word line , without qualification , is used to desig- nate a right line ; and the word curve , a curve line . 11. If ...
... curve line is such that if traced by a point , the point continually changes its direction , as the line CD . 10. The word line , without qualification , is used to desig- nate a right line ; and the word curve , a curve line . 11. If ...
Side 58
... curve line , is the circle ; the curve line AFHGBDE , the cir- cumference ; the lines CE , CD , drawn A from the centre to the circumference , are radi ; and the right line AB drawn through the centre C , terminating in the ...
... curve line , is the circle ; the curve line AFHGBDE , the cir- cumference ; the lines CE , CD , drawn A from the centre to the circumference , are radi ; and the right line AB drawn through the centre C , terminating in the ...
Side 59
... curve line AEB must fall ex- A actly on the curve line AFB , otherwise there would , in the one or the other , be points unequally distant from the centre , which is contrary to the definition of a circle . PROPOSITION II . THEOREM ...
... curve line AEB must fall ex- A actly on the curve line AFB , otherwise there would , in the one or the other , be points unequally distant from the centre , which is contrary to the definition of a circle . PROPOSITION II . THEOREM ...
Side 60
... curve line AMDB will coincide entirely with the curve line ENGF . But the part AMD is equal to the part ENG by hypothesis ; hence the point D will fall on G ; therefore the chord AD is equal to the chord EG . Conversely . Suppose again ...
... curve line AMDB will coincide entirely with the curve line ENGF . But the part AMD is equal to the part ENG by hypothesis ; hence the point D will fall on G ; therefore the chord AD is equal to the chord EG . Conversely . Suppose again ...
Side 158
... curve of any kind , the perimeter of the polygon , as also its area , may be regarded as equal to the length of the curve and to its area . Scholium . The problem of the circle's quadrature consists in finding a square equivalent to a ...
... curve of any kind , the perimeter of the polygon , as also its area , may be regarded as equal to the length of the curve and to its area . Scholium . The problem of the circle's quadrature consists in finding a square equivalent to a ...
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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.