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 |
Inni boken
Resultat 1-5 av 100
Side 7
... PROBLEMS . BOOK FIFTH . OF REGULAR POLYGONS AND THE MEASUREMENT OF THE CIRCLE - DEFINITIONS— GENERAL PROPOSITIONS - PROBLEMS . BOOK SIXTH . ISOPERIMETRY - DEFINITIONS - GENERAL PROPOSITIONS . NOTES . ON SOME DEFINITIONS - SPECULATIONS ...
... PROBLEMS . BOOK FIFTH . OF REGULAR POLYGONS AND THE MEASUREMENT OF THE CIRCLE - DEFINITIONS— GENERAL PROPOSITIONS - PROBLEMS . BOOK SIXTH . ISOPERIMETRY - DEFINITIONS - GENERAL PROPOSITIONS . NOTES . ON SOME DEFINITIONS - SPECULATIONS ...
Side 10
... Problem proposes an operation to be performed . A Lemma is a subsidiary truth , the evidence of which must be established , preparatory to the demonstration of a succeeding theorem . A Proposition is a general term for either a theorem ...
... Problem proposes an operation to be performed . A Lemma is a subsidiary truth , the evidence of which must be established , preparatory to the demonstration of a succeeding theorem . A Proposition is a general term for either a theorem ...
Side 76
... PROBLEMS RELATING TO THE SECOND AND THIRD BOOKS . PROBLEM I. To divide a given right line into two equal parts . Let AB be the given right line . From the points A and B as centres , with a radius greater than the half of AB , describe ...
... PROBLEMS RELATING TO THE SECOND AND THIRD BOOKS . PROBLEM I. To divide a given right line into two equal parts . Let AB be the given right line . From the points A and B as centres , with a radius greater than the half of AB , describe ...
Side 77
... PROBLEM III . To erect a perpendicular at or near the end of a given line . From any point C taken without the line with a radius equal to the distance CP describe a circumference , and from D , where it cuts AP or its prolongation ...
... PROBLEM III . To erect a perpendicular at or near the end of a given line . From any point C taken without the line with a radius equal to the distance CP describe a circumference , and from D , where it cuts AP or its prolongation ...
Side 78
... PROBLEM V. At a point in a given line to make an angle equal to a given angle . Let A be the given point , AB the given line , and IKL the given angle . From the vertex K , as a cen- tre , with any radius , describe the arc IL ...
... PROBLEM V. At a point in a given line to make an angle equal to a given angle . Let A be the given point , AB the given line , and IKL the given angle . From the vertex K , as a cen- tre , with any radius , describe the arc IL ...
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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.