A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the Mathematics. ... By Thomas Malton. ...author, and sold, 1774 - 440 Seiten |
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Seite 66
... the middle Term of the three . For , if three Quantities are Proportionals , the middle Term is a Mean between the other two . 7- In analogous or equal Proportion of four Quantities , fince In 66 PRACTICAL GEOMETRY .
... the middle Term of the three . For , if three Quantities are Proportionals , the middle Term is a Mean between the other two . 7- In analogous or equal Proportion of four Quantities , fince In 66 PRACTICAL GEOMETRY .
Seite 67
... analogous or equal Proportion of four Quantities , fince the firft has the fame proportion to the fecond , as the third has to the fourth ; and confequently , the first is to the third as the fecond to fourth ; a Rectangle under the two ...
... analogous or equal Proportion of four Quantities , fince the firft has the fame proportion to the fecond , as the third has to the fourth ; and confequently , the first is to the third as the fecond to fourth ; a Rectangle under the two ...
Seite 236
... Analogy , or fimilarity of Proportion , when , in four Quantities , the first ( i . e . any one ) contains the fecond ( any other ) or is contained , the fame number of times , as a third contains the fourth , or is con- tained by it ...
... Analogy , or fimilarity of Proportion , when , in four Quantities , the first ( i . e . any one ) contains the fecond ( any other ) or is contained , the fame number of times , as a third contains the fourth , or is con- tained by it ...
Seite 237
... analogous in their Ratio , two , and two ; i . e . when A ( any one ) has the fame Pro- portion to B ( any other ) ... analogous ; which , will admit of great variety ; feing , the Ratios of feveral Quantities , that are analogous , may be ...
... analogous in their Ratio , two , and two ; i . e . when A ( any one ) has the fame Pro- portion to B ( any other ) ... analogous ; which , will admit of great variety ; feing , the Ratios of feveral Quantities , that are analogous , may be ...
Seite 240
... Analogy , of ima- ginary Beings with coporeal ; which do not , properly , admit of Analogy . He fays , further , that nothing in Mathematics depends on it , ( the 6th ) and that , both might well be fpared , without any lofs to Geometry ...
... Analogy , of ima- ginary Beings with coporeal ; which do not , properly , admit of Analogy . He fays , further , that nothing in Mathematics depends on it , ( the 6th ) and that , both might well be fpared , without any lofs to Geometry ...
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A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ... Thomas Malton Keine Leseprobe verfügbar - 2016 |
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 118 - When you have proved that the three angles of every triangle are equal to two right angles...
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 118 - Angles, taken together, is equal to Twice as many Right Angles, wanting four, as the Figure has Sides.