An essay on mechanical geometry, explanatory of a set of models1796 |
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Side 12
... theorems . A POSTULATE is fomething required to be granted , to prevent cavils . Euclid's pof- tulates are , I. Let it be granted , that a ftraight line may be drawn from any one point to any other point . 2 . That a terminated ftraight ...
... theorems . A POSTULATE is fomething required to be granted , to prevent cavils . Euclid's pof- tulates are , I. Let it be granted , that a ftraight line may be drawn from any one point to any other point . 2 . That a terminated ftraight ...
Side 14
... Theorems . A PROBLEM is a practical propofition , as to draw one line perpendicular to another . A THEOREM , a fpeculative propofition , the truth of which may be de- monstrated ; as the three angles of a triangle are together equal to ...
... Theorems . A PROBLEM is a practical propofition , as to draw one line perpendicular to another . A THEOREM , a fpeculative propofition , the truth of which may be de- monstrated ; as the three angles of a triangle are together equal to ...
Side 15
... Theorems , and afterwards give some of the most necessary Problems . BOOK I. SECTION II . Of angles made by lines meeting , or croffing each other . THEOREM I. Any angle , if measured by a large or fmall circle , will be found to ...
... Theorems , and afterwards give some of the most necessary Problems . BOOK I. SECTION II . Of angles made by lines meeting , or croffing each other . THEOREM I. Any angle , if measured by a large or fmall circle , will be found to ...
Side 16
... THEOREM 2. A Line ftanding on another line making angles with it , the fum of these angles is equal to two right ... theorem of Donne's 1ft . Book ; and the like for others . the make up the femicircle , or 180 degrees , 16 Theorems ...
... THEOREM 2. A Line ftanding on another line making angles with it , the fum of these angles is equal to two right ... theorem of Donne's 1ft . Book ; and the like for others . the make up the femicircle , or 180 degrees , 16 Theorems ...
Side 17
... 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 angles , or 180 degrees . Corollary 2. of D. I. For let two lines DC , EC be drawn ...
... 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 angles , or 180 degrees . Corollary 2. of D. I. For let two lines DC , EC be drawn ...
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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...