An essay on mechanical geometry, explanatory of a set of models1796 |
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Seite 6
... line ftands exactly upright C. 2. on another , it is called a Perpendicular , as F. 4. the line DC . The angle ACD being equal to the angle BCD , as a Semi - circle is is equal to 180 degrees ( the whole being 360 6 Definitions . Book 1 .
... line ftands exactly upright C. 2. on another , it is called a Perpendicular , as F. 4. the line DC . The angle ACD being equal to the angle BCD , as a Semi - circle is is equal to 180 degrees ( the whole being 360 6 Definitions . Book 1 .
Seite 7
Benjamin Donne. is equal to 180 degrees ( the whole being 360 ) each angle must contain an arc of the half of 180 degrees , viz . 90 degrees . Hence we fay a Right Angle is equal to 90 degrees ; an Obtufe Angle is greater than 90 degrees ...
Benjamin Donne. is equal to 180 degrees ( the whole being 360 ) each angle must contain an arc of the half of 180 degrees , viz . 90 degrees . Hence we fay a Right Angle is equal to 90 degrees ; an Obtufe Angle is greater than 90 degrees ...
Seite 13
... the same , are equal to one another . 8 . Magnitudes which coincide with one another , that is , which exactly fill the fame fpace , are equal to one another . 9 . 9 . The whole is greater than its part . Axioms . 13 Book 1 .
... the same , are equal to one another . 8 . Magnitudes which coincide with one another , that is , which exactly fill the fame fpace , are equal to one another . 9 . 9 . The whole is greater than its part . Axioms . 13 Book 1 .
Seite 14
... whole . Note , This is not in Euclid , though he frequently makes use of it . 45. PROPOSITIONS are things proposed to be done , and are of two kinds , Problems and Theorems . A PROBLEM is a practical propofition , as to draw one line ...
... whole . Note , This is not in Euclid , though he frequently makes use of it . 45. PROPOSITIONS are things proposed to be done , and are of two kinds , Problems and Theorems . A PROBLEM is a practical propofition , as to draw one line ...
Seite 15
... 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.
... 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.
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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...