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 5
... third books from those of Le- gendre ; a few useful propositions have , however , been add- In the fourth book , by discussing the subject of Pro- portion and proportional figures before that of the squares of the sides of right angled ...
... third books from those of Le- gendre ; a few useful propositions have , however , been add- In the fourth book , by discussing the subject of Pro- portion and proportional figures before that of the squares of the sides of right angled ...
Side 7
... THIRD . THE CIRCLE AND MEASUREMENT OF ANGLES - DEFINITIONS - GENERAL DISCUSSISON AND PROPOSITIONS - PROBLEMS RELATING TO THE SECOND AND THIRD BOOKS . BOOK FOURTH . OF THE PROPERTIES AND AREAS OF FIGURES - DEFINITIONS - GENERAL ...
... THIRD . THE CIRCLE AND MEASUREMENT OF ANGLES - DEFINITIONS - GENERAL DISCUSSISON AND PROPOSITIONS - PROBLEMS RELATING TO THE SECOND AND THIRD BOOKS . BOOK FOURTH . OF THE PROPERTIES AND AREAS OF FIGURES - DEFINITIONS - GENERAL ...
Side 9
... third part contemplating body under its several dimensions of length , breadth and thickness . Lines are obviously the boundaries of surfaces , and surfa- ces are the boundaries of solids ; it is equally obvious that a line being mere ...
... third part contemplating body under its several dimensions of length , breadth and thickness . Lines are obviously the boundaries of surfaces , and surfa- ces are the boundaries of solids ; it is equally obvious that a line being mere ...
Side 14
... third terms the two means . 10. Of four proportional quantities the first and third are called the antecedents , and the second and fourth the conse- quents ; and the last is said to be a fourth proportional to the other three taken in ...
... third terms the two means . 10. Of four proportional quantities the first and third are called the antecedents , and the second and fourth the conse- quents ; and the last is said to be a fourth proportional to the other three taken in ...
Side 25
... third in the former as the second to the third in the latter , and so on ; then as the first term is to the last in the one series , so is the first to the last in the other series . First , let there be three magnitudes in each series ...
... third in the former as the second to the third in the latter , and so on ; then as the first term is to the last in the one series , so is the first to the last in the other series . First , let there be three magnitudes in each series ...
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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.