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 85.
Σελίδα 58
... chord . The surface FHG , included between the arc FHG and the chord FG is a segment ; so likewise is the surface included by the same chord and the arc FAEDBG . 9. A sector of a circle is the surface included between two radii , and ...
... chord . The surface FHG , included between the arc FHG and the chord FG is a segment ; so likewise is the surface included by the same chord and the arc FAEDBG . 9. A sector of a circle is the surface included between two radii , and ...
Σελίδα 59
... chord And by an angle at the centre , is meant one which has its vertex in the centre . In both cases , the angles ... chord is less than the diameter . Let AD ( see preceding diagram ) be any chord . Draw the radii CA , CD , to its ...
... chord And by an angle at the centre , is meant one which has its vertex in the centre . In both cases , the angles ... chord is less than the diameter . Let AD ( see preceding diagram ) be any chord . Draw the radii CA , CD , to its ...
Σελίδα 60
... chord AD is equal to the chord EG . Conversely . Suppose again the radii AC , EO , to be equal , if the chord AD is equal to the chord EG , the arcs AMD , ENG , will also be equal . For , if the radii CD , OG , be drawn , the triangles ...
... chord AD is equal to the chord EG . Conversely . Suppose again the radii AC , EO , to be equal , if the chord AD is equal to the chord EG , the arcs AMD , ENG , will also be equal . For , if the radii CD , OG , be drawn , the triangles ...
Σελίδα 61
... chord AH be greater than the chord AD . A D H B For , draw the radii CD , CH . The two sides AC , CH , of the triangle ACH , are equal to the two AC , CD , of the triangle ACD , and the angle ACH is greater than ACD ; hence , the third ...
... chord AH be greater than the chord AD . A D H B For , draw the radii CD , CH . The two sides AC , CH , of the triangle ACH , are equal to the two AC , CD , of the triangle ACD , and the angle ACH is greater than ACD ; hence , the third ...
Σελίδα 62
... chord . It follows , likewise , that the perpendicular raised from the middle of a chord passes through the centre of the circle , and through the middle of the arc subtended by that chord . For , this perpendicular is the same as the ...
... chord . It follows , likewise , that the perpendicular raised from the middle of a chord passes through the centre of the circle , and through the middle of the arc subtended by that chord . For , this perpendicular is the same as the ...
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.