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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Σελίδα 6
... for Surfaces and Solids , 180 CONIC SECTIONS . The Parabola and its Properties , The Ellipse and its Properties , The Hyperbola and its Properties , 189 197 215 SPHERICAL GEOMETRY . SPHERICAL GEOMETRY . DEFINITIONS . 1. THE vi CONTENTS .
... for Surfaces and Solids , 180 CONIC SECTIONS . The Parabola and its Properties , The Ellipse and its Properties , The Hyperbola and its Properties , 189 197 215 SPHERICAL GEOMETRY . SPHERICAL GEOMETRY . DEFINITIONS . 1. THE vi CONTENTS .
Σελίδα 189
... PARABOLA . DEFINITIONS . 1. A Parabola is a plane curve , such , that if from any point in the curve two straight lines be drawn ; one to a given fixed point , the other perpendicular to a straight line given in po- sition : these two ...
... PARABOLA . DEFINITIONS . 1. A Parabola is a plane curve , such , that if from any point in the curve two straight lines be drawn ; one to a given fixed point , the other perpendicular to a straight line given in po- sition : these two ...
Σελίδα 190
... parabola , A the principal vertex . K N3 Wi Pa W. X A S W 6. A straight line which meets the 221 curve in any point ... para- bola . 13. The part of the axis intercepted between its vertex and the point in which it is intersected by one ...
... parabola , A the principal vertex . K N3 Wi Pa W. X A S W 6. A straight line which meets the 221 curve in any point ... para- bola . 13. The part of the axis intercepted between its vertex and the point in which it is intersected by one ...
Σελίδα 191
... PM perpendicular to the axis . Then PG is the normal correspond- ing to the point P ; MG is the sub - nor- mal corresponding to the point P. T AS M PROPOSITION I. THEOREM . The distance of the focus from PARABOLA . 191.
... PM perpendicular to the axis . Then PG is the normal correspond- ing to the point P ; MG is the sub - nor- mal corresponding to the point P. T AS M PROPOSITION I. THEOREM . The distance of the focus from PARABOLA . 191.
Σελίδα 192
... parabola at any point . Let P be the given point . Join S , P ; draw PN perpendicular to the directrix . Bisect the angle SPN by the straight N line Tt . Tt is a tangent at the point P. For if Tt be not a tangent , let Tt cut the curve ...
... parabola at any point . Let P be the given point . Join S , P ; draw PN perpendicular to the directrix . Bisect the angle SPN by the straight N line Tt . Tt is a tangent at the point P. For if Tt be not a tangent , let Tt cut the curve ...
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.