An essay on mechanical geometry, explanatory of a set of models1796 |
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Seite 39
... Cone is a folid , one end of which is a circle and the other a point ; it may be conceived to be generated by the revolution of a right - angled triangle about one of the fides which contains the right angle ; and the the quiefcent fide ...
... Cone is a folid , one end of which is a circle and the other a point ; it may be conceived to be generated by the revolution of a right - angled triangle about one of the fides which contains the right angle ; and the the quiefcent fide ...
Seite 40
... Cone be cut into two parts by a fection parallel to its base , one part will be a pyramid or cone ; the other part , viz . that next the bafe , is called the Fruftum of the pyramid or cone . See Card 46 . 11. A Solid Angle is that which ...
... Cone be cut into two parts by a fection parallel to its base , one part will be a pyramid or cone ; the other part , viz . that next the bafe , is called the Fruftum of the pyramid or cone . See Card 46 . 11. A Solid Angle is that which ...
Seite 41
... cone is equal to one third of its circumfcribing cylinder , and it must evidently hold good in pyramids , that they are one third of their circumfcribing prisms . THEOREM 3. A Sphere or Globe is two thirds of its circumfcribing cylinder ...
... cone is equal to one third of its circumfcribing cylinder , and it must evidently hold good in pyramids , that they are one third of their circumfcribing prisms . THEOREM 3. A Sphere or Globe is two thirds of its circumfcribing cylinder ...
Seite 42
... cones and cylinders have to one another the triplicate ratio of that which the diameters of their bafes have ; and in The- orem 18 it is faid that spheres have to each other the triplicate ratio of that which their diameters have . He ...
... cones and cylinders have to one another the triplicate ratio of that which the diameters of their bafes have ; and in The- orem 18 it is faid that spheres have to each other the triplicate ratio of that which their diameters have . He ...
Seite 67
... cone . RULE . Multiply half the circumference of its bafe by half its diameter , and the product , by problem 8 of Book vi , will be the area of its bafe ; which multiplied by a third of the perpendicular height of the cone , will give ...
... cone . RULE . Multiply half the circumference of its bafe by half its diameter , and the product , by problem 8 of Book vi , will be the area of its bafe ; which multiplied by a third of the perpendicular height of the cone , will give ...
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An Essay on Mechanical Geometry, Explanatory of a Set of Models Benjamin Donne Keine Leseprobe verfügbar - 2019 |
An Essay on Mechanical Geometry, Explanatory of a Set of Models Benjamin Donne Keine Leseprobe verfügbar - 2016 |
Häufige Begriffe und Wortgruppen
180 degrees alfo alſo Analemma angle ACD arithmetic arithmetical mean bafe baſe bifect Book breadth Briſtol called circle circumfcribing compaffes conceived cone confequently contained Corollary croffing cylinder demonftrations deſcribe diameter diſtance divided effay Euclid exactly expreffed faid fame number femicircle fhall fhewn fhould fides fignifies figure fimilar fmall folid fome four numbers fquare feet fruftum ftands ftraight fubtract fufficiently furface gallons geometrical mean Geometricians Geometry globe height Hence inftance interfect large cube length manifeft meaſure multiply half muſt number of degrees number of feet numbers are proportional oppofite orem parallel lines parallel ruler parallelogram perpendicular planes pofition pole prefent priſm PROBLEM propofitions purpoſe pyramid radius reaſon rectangle regular polygon repreſent reſpect rhombus right angles right line ſcheme Scholium ſet ſhadow ſhall ſquare Theorem theſe Thomas Beddoes thoſe three angles triangle ABC whole yards
Beliebte Passagen
Seite 4 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Seite 11 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Seite 23 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
Seite 24 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Seite 12 - ... the three angles of a triangle are together equal to two right angles, although it is not known to all.
Seite 37 - A right circular cone is often called a cone of revolution, because it can be generated by the revolution of a right-angled triangle about one of its shorter sides.
Seite 10 - POSTULATES. 1. LET it be granted that a straight line may be drawn from any one point to any other point. 2. That a terminated straight line may be produced to any length in a straight line. 3. And that a circle may be described from any centre, at any distance from that centre.
Seite 65 - Multiply half the circumference by half the diameter, and the product will be the area. Or, divide the product of the whole circumference and diameter -by 4, and the quotient will be the area. 2. Multiply the square of the diameter by .7854, and the product will be the area.
Seite 84 - ... reafonable creatures •, for though we all call ourfelves fo, becaufe we are born to it if we pleafe, yet we may truly fay Nature gives us but the...
Seite 40 - SIMILAR cones and cylinders have to one another the triplicate ratio of that which the diameters of their bases have...