A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the Mathematics. ... By Thomas Malton. ...author, and sold, 1774 - 440 pages |
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Page 179
... seeing , they have unequal Radii , CD and ED ; which produce different Curves , according to the Radius , which cannot , in any Part , fall into each other ( for if they did they must coincide entirely in fome part ) therefore , they ...
... seeing , they have unequal Radii , CD and ED ; which produce different Curves , according to the Radius , which cannot , in any Part , fall into each other ( for if they did they must coincide entirely in fome part ) therefore , they ...
Page 308
... Seeing , by Th.10 . of this 6th Book it is demonftrated , that Triangles , and all fimilar Figures whatever , are in proportion to the Squares of their correfponding Sides , the full and perfect demonstration of this Propofition ...
... Seeing , by Th.10 . of this 6th Book it is demonftrated , that Triangles , and all fimilar Figures whatever , are in proportion to the Squares of their correfponding Sides , the full and perfect demonstration of this Propofition ...
Page 350
... seeing that , every Line , BC , BE , BD , and BF , make Right Angles with AB . Th . 2 . Th . the Planes , CAD , EAF are perp . to CEF - Def.4 , COROLLARY I. The 19th Propofition of Euclid . - - - If two Planes , cuting each other , be ...
... seeing that , every Line , BC , BE , BD , and BF , make Right Angles with AB . Th . 2 . Th . the Planes , CAD , EAF are perp . to CEF - Def.4 , COROLLARY I. The 19th Propofition of Euclid . - - - If two Planes , cuting each other , be ...
Page 23
... to be cut , by parallel Planes , through agland bik , parallel to the Top and Bafe , the Parts aG , ail , and bDk are equal , seeing that their Surfaces are equal ; and E F B and being alfo of equal thickness , Cg OF MENSURATION . 23.
... to be cut , by parallel Planes , through agland bik , parallel to the Top and Bafe , the Parts aG , ail , and bDk are equal , seeing that their Surfaces are equal ; and E F B and being alfo of equal thickness , Cg OF MENSURATION . 23.
Page 28
... seeing , it is obvious , that the Fruftrum of the Cone is more than fuch a Cylinder ; the excess of the greater End being confiderably more than the deficiency of the other . But , as I do not intend to treat at large on those matters ...
... seeing , it is obvious , that the Fruftrum of the Cone is more than fuch a Cylinder ; the excess of the greater End being confiderably more than the deficiency of the other . But , as I do not intend to treat at large on those matters ...
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A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ... Thomas Malton No preview available - 2016 |
Common terms and phrases
ABCD alfo alfo equal alſo Altitudes Angle ABC Area Bafe Baſe becauſe bifected Center Chord Circle circumfcribing Circumference Cone conf confequently Conftruction contains cuting Cylinder defcribe Demonftration Diagonal Diameter divided Divifions draw drawn Ellipfis equal Angles equiangular Euclid external Angle fame manner fame Plane fame Ratio fecond fhall Figure fimilar fince firft firſt fome fquare fubtends fuch fuppofe Geometry given Line greater half Heptagon Ifofceles Inches infcribed interfecting laft lefs manifeft mean Proportional meaſure multiplied neceffary Nonagon oppofite parallel Parallelogram Parallelopiped Pentagon perpendicular pleaſure Point Poligon Prifm Priſm Prob Propofition Pyramid Quantities Radius reaſon Rect Rectangle refpectively Right Angles Right Line Segment Sides Sphere Square Tangent THEOREM thofe thoſe Trapezium Triangle ABC uſe wherefore whofe
Popular passages
Page 118 - When you have proved that the three angles of every triangle are equal to two right angles...
Page 215 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 279 - EG, let fall from a point in the circumference upon the diameter, is a mean proportional between the two segments of the diameter DS, EF (p.
Page 278 - IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another.
Page 180 - From this it is manifest, that if one angle of a triangle be equal to the other two, it is a right angle, because the angle adjacent to it is equal to the same two; and when the adjacent angles are equal, they are right angles.
Page 242 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D; and read, A is to B as C to D.
Page 155 - In any triangle, if a line be drawn from the vertex at right angles to the base; the difference of the squares of the sides is equal to the difference of the squares of the segments of the base.
Page 154 - In any isosceles triangle, the square of one of the equal sides is equal to the square of any straight line drawn from the vertex to the base plus the product of the segments of the base.
Page 244 - Ratios that are the same to the same ratio, are the same to one another. Let A be to B as C is to D ; and as C to D, so let E be to F.
Page 118 - Angles, taken together, is equal to Twice as many Right Angles, wanting four, as the Figure has Sides.