An essay on mechanical geometry, explanatory of a set of models1796 |
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Seite 32
... Plane Superficies . THEOREM I. If a line be divided into two equal parts , the fquare of the line is equal to 4 times the fquare on half that line . Corollary I of D. I. Let AC reprefent a line ; AB its half ; then it is manifeft by a ...
... Plane Superficies . THEOREM I. If a line be divided into two equal parts , the fquare of the line is equal to 4 times the fquare on half that line . Corollary I of D. I. Let AC reprefent a line ; AB its half ; then it is manifeft by a ...
Seite 38
... planes or ends , which may be of any right- lined figure , provided they be equal , Gmi- lar , and parallel to each other , and the other bounding planes parallelograms . See folids , No. 10 , and 11 . 3. A Parallelopipedon is a ...
... planes or ends , which may be of any right- lined figure , provided they be equal , Gmi- lar , and parallel to each other , and the other bounding planes parallelograms . See folids , No. 10 , and 11 . 3. A Parallelopipedon is a ...
Seite 39
... planes meeting in one point , as the bafe has fides , No. 14 , and 15 . 9. A 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 ...
... planes meeting in one point , as the bafe has fides , No. 14 , and 15 . 9. A 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 ...
Seite 40
... planes . 12. Similar Solids are those which are con- tained by equal numbers of fimilar surfaces , alike fituated : Or fimilar folid figures are fuch as have their folid angles equal each to each , and which are contained by the fame ...
... planes . 12. Similar Solids are those which are con- tained by equal numbers of fimilar surfaces , alike fituated : Or fimilar folid figures are fuch as have their folid angles equal each to each , and which are contained by the fame ...
Seite 89
... plane , its height may be found independent of fimilar triangles , and without any quadrant or other inftrument for taking angles , by the following fimple method . On a piece of board draw two lines , viz . one perpendicular to the ...
... plane , its height may be found independent of fimilar triangles , and without any quadrant or other inftrument for taking angles , by the following fimple method . On a piece of board draw two lines , viz . one perpendicular to the ...
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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...