An essay on mechanical geometry, explanatory of a set of models1796 |
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Página 22
... placing it on each of the others , it will coincide and fhew their equality . THEOREM II . Any two sides of a triangle are greater than the third . 20 E. 1 , or 6 D. 1 . Thus f the Thus , the two leffer fides AC and 22 Triangles . Book 1 .
... placing it on each of the others , it will coincide and fhew their equality . THEOREM II . Any two sides of a triangle are greater than the third . 20 E. 1 , or 6 D. 1 . Thus f the Thus , the two leffer fides AC and 22 Triangles . Book 1 .
Página 23
... leffer side to a leffer angle , and the leaft side to the leaft angle . 19 E. 1 , or 12 D. 1 . About the angular points A , B , C , with any C. 16 radius defcribe the arcs ab , cd , ef , and by in- fpection , or measuring with a pair of ...
... leffer side to a leffer angle , and the leaft side to the leaft angle . 19 E. 1 , or 12 D. 1 . About the angular points A , B , C , with any C. 16 radius defcribe the arcs ab , cd , ef , and by in- fpection , or measuring with a pair of ...
Página 24
Benjamin Donne. C.17 is oppofite to the leffer fide AC ; and the arc ab , the measure of the angle A , is the least , and is opposite to the leaft side BC . THEOREM 13. The external angle of a triangle is equal to the two internal ...
Benjamin Donne. C.17 is oppofite to the leffer fide AC ; and the arc ab , the measure of the angle A , is the least , and is opposite to the leaft side BC . THEOREM 13. The external angle of a triangle is equal to the two internal ...
Página 29
... leffer fquares are together equal to the largest square . N. B. This might have been fhewn by fewer pieces , but not fo well adapted to young minds . Pythagoras on discovering this Theorem was fo fully apprized of its usefulness , that ...
... leffer fquares are together equal to the largest square . N. B. This might have been fhewn by fewer pieces , but not fo well adapted to young minds . Pythagoras on discovering this Theorem was fo fully apprized of its usefulness , that ...
Página 36
... leffer fquare ; then , by a bare inspection , it appears that the large square contains four of the finall squares . If AB C.29 is equal to 1 inch , the leffer fquare contains a space of 1 fquare inch , and if GH is equal to 2 inches ...
... leffer fquare ; then , by a bare inspection , it appears that the large square contains four of the finall squares . If AB C.29 is equal to 1 inch , the leffer fquare contains a space of 1 fquare inch , and if GH is equal to 2 inches ...
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...