An essay on mechanical geometry, explanatory of a set of models1796 |
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Seite vii
... give fuch a scheme support ; and fortunately it cannot alarm any prejudice . The defign is to construct models , at first of the most simple , and afterwards of more complicated machines . The models are not to be very small , and they ...
... give fuch a scheme support ; and fortunately it cannot alarm any prejudice . The defign is to construct models , at first of the most simple , and afterwards of more complicated machines . The models are not to be very small , and they ...
Seite 15
... give fome of the most useful Problems before we proceed ; but as their rationalé could not be understood without knowing the propofitions on which they depend , we shall first proceed with the Theorems , and afterwards give some of the ...
... give fome of the most useful Problems before we proceed ; but as their rationalé could not be understood without knowing the propofitions on which they depend , we shall first proceed with the Theorems , and afterwards give some of the ...
Seite 42
... give one that includes all kinds of folids whatever . THEOREM 4. Similar folids of what form foever they may be , are in proportion to each other as the cubes of their like sides , or of any lines in them similarly situated . Two cubes ...
... give one that includes all kinds of folids whatever . THEOREM 4. Similar folids of what form foever they may be , are in proportion to each other as the cubes of their like sides , or of any lines in them similarly situated . Two cubes ...
Seite 50
Benjamin Donne. BOOK V , SECTION II . We shall now proceed to give fome Prob- lems of a different kind , defigned to shew a few instances of the ufes of Geometry in taking heights , and diftances , and other practical purposes ...
Benjamin Donne. BOOK V , SECTION II . We shall now proceed to give fome Prob- lems of a different kind , defigned to shew a few instances of the ufes of Geometry in taking heights , and diftances , and other practical purposes ...
Seite 55
... give two problems ; one applied to Archi- tecture , the other to Navigation . PROBLEM 13. Given the bafe and perpen- dicular of a right - angled triangle to find the hypothenufe . Example . Given the distance between the walls , viz ...
... give two problems ; one applied to Archi- tecture , the other to Navigation . PROBLEM 13. Given the bafe and perpen- dicular of a right - angled triangle to find the hypothenufe . Example . Given the distance between the walls , viz ...
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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...