An essay on mechanical geometry, explanatory of a set of models1796 |
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Página v
... MULTIPLIED occupations of the moft urgent nature put it totally out of my power to furnish you at present with those preliminary remarks on the utility of your mathematical models , which I gave your fub- scribers reason to expect . I ...
... MULTIPLIED occupations of the moft urgent nature put it totally out of my power to furnish you at present with those preliminary remarks on the utility of your mathematical models , which I gave your fub- scribers reason to expect . I ...
Página 32
... multiplied by 2 ; therefore it is called the fquare of 2 ; and 3 multiplied by 3 equal to 9 called the fquare of 3 . 2 . THEOREM 2. If a line be divided into any two 32 Theorems . Book III .
... multiplied by 2 ; therefore it is called the fquare of 2 ; and 3 multiplied by 3 equal to 9 called the fquare of 3 . 2 . THEOREM 2. If a line be divided into any two 32 Theorems . Book III .
Página 36
... multiplied by 2 , equal 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 ...
... multiplied by 2 , equal 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 ...
Página 37
Benjamin Donne. fquare a number is to multiply it by itself . If the fide of the large fquare were 3 , it would contain 3 multiplied by 3 , equal to 9 times the furface , or area of the leffer fquare . Hence two fquares are to one an ...
Benjamin Donne. fquare a number is to multiply it by itself . If the fide of the large fquare were 3 , it would contain 3 multiplied by 3 , equal to 9 times the furface , or area of the leffer fquare . Hence two fquares are to one an ...
Página 43
... multiplied by 2 is equal to 4 , and 4 multiplied by 2 is equal to eight ; which is termed the cube of 8. Therefore , if the large and one of the fmall cubes be in proportion as the cubes of their like fides , then the large cube must ...
... multiplied by 2 is equal to 4 , and 4 multiplied by 2 is equal to eight ; which is termed the cube of 8. Therefore , if the large and one of the fmall cubes be in proportion as the cubes of their like fides , then the large cube must ...
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...