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 31
... surface . 20. Every surface which is not a plane surface , or com- posed of plane surfaces , is a curved surface . 21. A plane figure is an enclosed plane surface . 2. If it be bounded by right lines only it is called a rectilineal ...
... surface . 20. Every surface which is not a plane surface , or com- posed of plane surfaces , is a curved surface . 21. A plane figure is an enclosed plane surface . 2. If it be bounded by right lines only it is called a rectilineal ...
Side 58
... surface terminated by a curve line , which is in every part equally distant from a point within , called the centre . 3. The boundary of a circle is called its circumference . 4. The radius is a right line drawn from the centre of a ...
... surface terminated by a curve line , which is in every part equally distant from a point within , called the centre . 3. The boundary of a circle is called its circumference . 4. The radius is a right line drawn from the centre of a ...
Side 34
... surface be equal to ( AB + BC + CD F + DE + EA ) × AF . K H For , the convex surface is equal to the sum of all the rectangles AG , BH , CI , DK , EF , which compos it . Now , the altitudes AF , BG , CH , & c . of the rectangles , are ...
... surface be equal to ( AB + BC + CD F + DE + EA ) × AF . K H For , the convex surface is equal to the sum of all the rectangles AG , BH , CI , DK , EF , which compos it . Now , the altitudes AF , BG , CH , & c . of the rectangles , are ...
Side 46
... surface of a regular pyramid is equal to the perime- ter of its base multiplied by half its slant height . For , since the pyramid is regular , the point O , in which axis meets the base , is the centre of the polygon ABCDE ( Def . 14 ...
... surface of a regular pyramid is equal to the perime- ter of its base multiplied by half its slant height . For , since the pyramid is regular , the point O , in which axis meets the base , is the centre of the polygon ABCDE ( Def . 14 ...
Side 48
... surface abcS to the convex surface ABCS . Or , if a single plane is passed through the pyramid . perpendicular to the base , the same argument will apply . Hence the proposition as enunciated is true . B Cor . Hence we may infer that if ...
... surface abcS to the convex surface ABCS . Or , if a single plane is passed through the pyramid . perpendicular to the base , the same argument will apply . Hence the proposition as enunciated is true . B Cor . Hence we may infer that if ...
Andre utgaver - Vis alle
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.