An essay on mechanical geometry, explanatory of a set of models1796 |
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Página 2
... thing that has length , breadth , and thickness , whatever may be its form ; whether it be a folid in the common ac- ceptation of the word , as a piece of wood or ftone ; or hollow , as a box , or glass- tumbler . 6 . Note , The ...
... thing that has length , breadth , and thickness , whatever may be its form ; whether it be a folid in the common ac- ceptation of the word , as a piece of wood or ftone ; or hollow , as a box , or glass- tumbler . 6 . Note , The ...
Página 13
... Things which are double of the fame , are equal to one another . 7 . Things which are halves of the same , are equal to one another . 8 . Magnitudes which coincide with one another , that is , which exactly fill the fame fpace , are ...
... Things which are double of the fame , are equal to one another . 7 . Things which are halves of the same , are equal to one another . 8 . Magnitudes which coincide with one another , that is , which exactly fill the fame fpace , are ...
Página 14
... things proposed to be done , and are of two kinds , Problems and 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 ...
... things proposed to be done , and are of two kinds , Problems and 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 ...
Página 20
... 5th ; and the angle FGD is alfo equal to the angle EFB by Theorem 6th ; therefore being equal to one and the fame thing they must be equal to each other . BOOK BOOK I. SECTION III . Of TRIANGLES . THEOREM 8. 20 Theorems . Book 1 .
... 5th ; and the angle FGD is alfo equal to the angle EFB by Theorem 6th ; therefore being equal to one and the fame thing they must be equal to each other . BOOK BOOK I. SECTION III . Of TRIANGLES . THEOREM 8. 20 Theorems . Book 1 .
Página 55
... things with a dash ( 1 ) and what is required with a . Solution . The triangle CDE , by letting C.41 fall a perpendicular , may be divided into two right angled triangles . CD being equal to 80 , its half 40 is equal to CF ; hence in ...
... things with a dash ( 1 ) and what is required with a . Solution . The triangle CDE , by letting C.41 fall a perpendicular , may be divided into two right angled triangles . CD being equal to 80 , its half 40 is equal to CF ; hence in ...
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...