An essay on mechanical geometry, explanatory of a set of models1796 |
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Side ix
... proportion of those , who are made to attend Lectures on the Mathematics , as effential to a liberal education , become mafters of the firft fix books of Euclid . Perfons lefs fortunately cir- cumftanced , feldom have opportunity in ...
... proportion of those , who are made to attend Lectures on the Mathematics , as effential to a liberal education , become mafters of the firft fix books of Euclid . Perfons lefs fortunately cir- cumftanced , feldom have opportunity in ...
Side xi
... proportion ; partly on account of its difficulty , and partly from its not being a fubject adapted to mechanical proofs . However , as fome of the pro- pofitions are too valuable to be passed by in filence , an Eighth Book is added , in ...
... proportion ; partly on account of its difficulty , and partly from its not being a fubject adapted to mechanical proofs . However , as fome of the pro- pofitions are too valuable to be passed by in filence , an Eighth Book is added , in ...
Side 15
... or decrease in the fame proportion as the circumference of the circle increases or decreafes ; and confe- quently the arc representing any number of degrees degrees in one circle , will be to the whole Theorems , & c . Book 1. 15.
... or decrease in the fame proportion as the circumference of the circle increases or decreafes ; and confe- quently the arc representing any number of degrees degrees in one circle , will be to the whole Theorems , & c . Book 1. 15.
Side 36
... to 4 fquare inches . Hence to fquare * What we call as the fquares ( being a more fimple term ) Euclid calls duplicate ratio . Ratio here means proportion . fquare a number is to multiply it by itself . 36 Theorems . Book III .
... to 4 fquare inches . Hence to fquare * What we call as the fquares ( being a more fimple term ) Euclid calls duplicate ratio . Ratio here means proportion . fquare a number is to multiply it by itself . 36 Theorems . Book III .
Side 37
... proportion there is between the whole fquares , there must be the fame proportion between their like parts . And in general , if a circle or any other figure be infcribed in a square , and another fimilar figure in a larger fquare ...
... proportion there is between the whole fquares , there must be the fame proportion between their like parts . And in general , if a circle or any other figure be infcribed in a square , and another fimilar figure in a larger fquare ...
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An Essay on Mechanical Geometry, Explanatory of a Set of Models Benjamin Donne Ingen forhåndsvisning tilgjengelig - 2019 |
An Essay on Mechanical Geometry, Explanatory of a Set of Models Benjamin Donne Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 11 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Side 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...
Side 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.
Side 12 - ... the three angles of a triangle are together equal to two right angles, although it is not known to all.
Side 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.
Side 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.
Side 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.
Side 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...
Side 40 - SIMILAR cones and cylinders have to one another the triplicate ratio of that which the diameters of their bases have...