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 20
... Scholium . Although certain magnitudes may be integrally incommensurable ( Prop . V. Cor . ) with other given magni- tudes , yet there is no magnitude but may be expressed by some function of any proposed magnitude ; therefore , our ...
... Scholium . Although certain magnitudes may be integrally incommensurable ( Prop . V. Cor . ) with other given magni- tudes , yet there is no magnitude but may be expressed by some function of any proposed magnitude ; therefore , our ...
Σελίδα 27
... Scholium . Although the like powers , or like roots , of pro- portional quantities are themselves proportional , it should be observed that they are not proportional in the same ratio as their prime numbers . For in the numerical ...
... Scholium . Although the like powers , or like roots , of pro- portional quantities are themselves proportional , it should be observed that they are not proportional in the same ratio as their prime numbers . For in the numerical ...
Σελίδα 41
... Scholium . It may be observed that the equal angles lie op- posite the equal sides : thus , the equal angles D and A , lie opposite the equal sides EF and BC . PROPOSITION XIV . THEOREM . The angles opposite the equal sides of an ...
... Scholium . It may be observed that the equal angles lie op- posite the equal sides : thus , the equal angles D and A , lie opposite the equal sides EF and BC . PROPOSITION XIV . THEOREM . The angles opposite the equal sides of an ...
Σελίδα 61
... Scholium . The arcs here treated of are each less than the semicircumference . If they were greater , the reverse pro- perty would have place ; for , as the arcs increase , the chords would diminish , and conversely . Thus , the arc ...
... Scholium . The arcs here treated of are each less than the semicircumference . If they were greater , the reverse pro- perty would have place ; for , as the arcs increase , the chords would diminish , and conversely . Thus , the arc ...
Σελίδα 64
... Scholium . At a given point B , only one tangent AD can be drawn to the circumference ; for , if another could ' be drawn , it would not be perpendicular to the radius CB ; hence in reference to this new tangent , the radius CB would be ...
... Scholium . At a given point B , only one tangent AD can be drawn to the circumference ; for , if another could ' be drawn , it would not be perpendicular to the radius CB ; hence in reference to this new tangent , the radius CB would be ...
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.