A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the Mathematics. ... By Thomas Malton. ...author, and sold, 1774 - 440 pages |
From inside the book
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... whole Subftance of Euclid's first fix , the eleventh and twelfth Books ; with feveral other , ufeful and valuable , Theorems ; treated in the most brief , eafy , and in telligent manner ; for the ufe of Schools , & c . Being an Attempt ...
... whole Subftance of Euclid's first fix , the eleventh and twelfth Books ; with feveral other , ufeful and valuable , Theorems ; treated in the most brief , eafy , and in telligent manner ; for the ufe of Schools , & c . Being an Attempt ...
Page 1
... whole , there are upwards of eighty other Theorems and Problems , exclufive of the Ellipfis . In refpect of the practical Part , with the Introduction , it may be deemed a compleat Work of itfelf ; which , with the Appendix , is more ...
... whole , there are upwards of eighty other Theorems and Problems , exclufive of the Ellipfis . In refpect of the practical Part , with the Introduction , it may be deemed a compleat Work of itfelf ; which , with the Appendix , is more ...
Page vi
... whole , I have given a concife Theory of menfuration of Superficies and Solids ; fhewing their immediate and abfolute dependence on Geometry . I have for fome time debated , with myfelf , whether I fhould publish a tract of Geometry or ...
... whole , I have given a concife Theory of menfuration of Superficies and Solids ; fhewing their immediate and abfolute dependence on Geometry . I have for fome time debated , with myfelf , whether I fhould publish a tract of Geometry or ...
Page viii
... whole Elements , particularly the first , the third , the fifth , and the eleventh Books ; yet , I dare venture to affirm , that I have not omitted the fubftance of any Propofition which will ever be referred to , by Authors in any ...
... whole Elements , particularly the first , the third , the fifth , and the eleventh Books ; yet , I dare venture to affirm , that I have not omitted the fubftance of any Propofition which will ever be referred to , by Authors in any ...
Page 7
... whole line is in that Plane . A Plane may be conceived to be generated by the direct motion of a Right Line , laterally ; or whirled around on any Point in it . If the Right Line A B be moved , directly to CD , there will be generated ...
... whole line is in that Plane . A Plane may be conceived to be generated by the direct motion of a Right Line , laterally ; or whirled around on any Point in it . If the Right Line A B be moved , directly to CD , there will be generated ...
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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.