An essay on mechanical geometry, explanatory of a set of models1796 |
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Página 6
... Hence Mathematicians , for the more eafy comparing and calculating the pro- portion which angles bear to each other , suppose the circumference of every circle to be divided into 360 equal parts , called degrees ; each degree into 60 ...
... Hence Mathematicians , for the more eafy comparing and calculating the pro- portion which angles bear to each other , suppose the circumference of every circle to be divided into 360 equal parts , called degrees ; each degree into 60 ...
Página 7
... Hence we fay a Right Angle is equal to 90 degrees ; an Obtufe Angle is greater than 90 degrees ; an Acute Angle less than 90 Degrees . 19. A Rectilineal Figure is any figure bounded by right lines . 20. A Plane Triangle * is a figure ...
... Hence we fay a Right Angle is equal to 90 degrees ; an Obtufe Angle is greater than 90 degrees ; an Acute Angle less than 90 Degrees . 19. A Rectilineal Figure is any figure bounded by right lines . 20. A Plane Triangle * is a figure ...
Página 16
... Hence it follows , that if the angle DCB by the large circle contains any num- ber of degrees , for example , 60 ; it will interfect the fame number of degrees on the fmall circle . Hence the reason of expreffing the mag- nitude of an ...
... Hence it follows , that if the angle DCB by the large circle contains any num- ber of degrees , for example , 60 ; it will interfect the fame number of degrees on the fmall circle . Hence the reason of expreffing the mag- nitude of an ...
Página 17
... Hence if one of the angles be a right angle , the other must also be a right one . THEOREM 3. If two or more lines ftand on the fame line , at the same point , making an- gles with it , the fum of all the angles is equal to two right ...
... Hence if one of the angles be a right angle , the other must also be a right one . THEOREM 3. If two or more lines ftand on the fame line , at the same point , making an- gles with it , the fum of all the angles is equal to two right ...
Página 24
... Hence we have proved that the part EBD of the external angle is equal to the angle A. It remains now only to be proved , that the other part , viz . CBE , is equal to the angle C , which is done by taking out the angle C , and laying it ...
... Hence we have proved that the part EBD of the external angle is equal to the angle A. It remains now only to be proved , that the other part , viz . CBE , is equal to the angle C , which is done by taking out the angle C , and laying it ...
Otras ediciones - Ver todas
An Essay on Mechanical Geometry, Explanatory of a Set of Models Benjamin Donne Sin vista previa disponible - 2019 |
An Essay on Mechanical Geometry, Explanatory of a Set of Models Benjamin Donne Sin vista previa disponible - 2016 |
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 11 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Página 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...
Página 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.
Página 12 - ... the three angles of a triangle are together equal to two right angles, although it is not known to all.
Página 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.
Página 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.
Página 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.
Página 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...
Página 40 - SIMILAR cones and cylinders have to one another the triplicate ratio of that which the diameters of their bases have...