An essay on mechanical geometry, explanatory of a set of models1796 |
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Seite 8
... Parallelogram , is a figure contained under four lines , whofe oppofite fides are equal , and hath four right angles ; but not four equal fides . 33. A Rhombus is a figure having four C. 3 33. A 8 Definitions . Book 1 . called the Bafe ...
... Parallelogram , is a figure contained under four lines , whofe oppofite fides are equal , and hath four right angles ; but not four equal fides . 33. A Rhombus is a figure having four C. 3 33. A 8 Definitions . Book 1 . called the Bafe ...
Seite 10
... Parallelogram is a four - fided figure , 6. & whofe opposite fides are parallel , whether the angles be right angles or not . C. 4 . F. 1 . 41. A Cube or Die is a folid figure bounded F.6 . by fix equal fquares , erected perpendicular ...
... Parallelogram is a four - fided figure , 6. & whofe opposite fides are parallel , whether the angles be right angles or not . C. 4 . F. 1 . 41. A Cube or Die is a folid figure bounded F.6 . by fix equal fquares , erected perpendicular ...
Seite 34
... parallelogram by the definition , article 40 ; which is another part of the Theorem . 3. Again , the angle D , having been proved to be equal to the angle B ; and part of the angle C , which is diftinguished by one dot ( . ) and the ...
... parallelogram by the definition , article 40 ; which is another part of the Theorem . 3. Again , the angle D , having been proved to be equal to the angle B ; and part of the angle C , which is diftinguished by one dot ( . ) and the ...
Seite 35
... parallelogram , rhom- bus or rhomboides is equal to a rectangle having the fame , or equal bafes and equal al- titudes . This includes 35 and 36 E. 1 , or of D. 23 . For let ABCD be any parallelogram , C.27 rhombus or rhomboides , and ...
... parallelogram , rhom- bus or rhomboides is equal to a rectangle having the fame , or equal bafes and equal al- titudes . This includes 35 and 36 E. 1 , or of D. 23 . For let ABCD be any parallelogram , C.27 rhombus or rhomboides , and ...
Seite 36
... parallelogram taken out being equal to the whole triangle AEB ; the tri- angle is half the parallelogram ABCD . THEOREM 6. Similar furfaces are as the Squares of their like sides . This Theorem in- cludes not only 19 E. 1 , for ...
... parallelogram taken out being equal to the whole triangle AEB ; the tri- angle is half the parallelogram ABCD . THEOREM 6. Similar furfaces are as the Squares of their like sides . This Theorem in- cludes not only 19 E. 1 , for ...
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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...