A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the Mathematics. ... By Thomas Malton. ...author, and sold, 1774 - 440 sider |
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Resultat 1-5 av 100
Side 1
... Euclid , will be found to be a great abridgment of the Elements , both in the number of Theorems and length of the Demonstrations . But , they will find , in this Work , particularly in the 2nd , the 3rd , the 6th , 7th and 8th Books ...
... Euclid , will be found to be a great abridgment of the Elements , both in the number of Theorems and length of the Demonstrations . But , they will find , in this Work , particularly in the 2nd , the 3rd , the 6th , 7th and 8th Books ...
Side 2
... Euclid . 26 - Cor . to 17. 14. 6 . 16.2718 . 2 Cor . 1.14.6 . 28 and 29 are " 13.36 23 . 137 24 . 14 . 32 10.37 Converse . 3 and 4 are 33 - Cor . to 15 . ufelefs , and pro- wholly omit- 34 150 مي BOOK V. lix Problems . ted , as useless ...
... Euclid . 26 - Cor . to 17. 14. 6 . 16.2718 . 2 Cor . 1.14.6 . 28 and 29 are " 13.36 23 . 137 24 . 14 . 32 10.37 Converse . 3 and 4 are 33 - Cor . to 15 . ufelefs , and pro- wholly omit- 34 150 مي BOOK V. lix Problems . ted , as useless ...
Side 6
... Euclid . 25 Prob . 38 . 14. 26 - Cor . to 17 . 16.27 18 . 28 and 29 are ufelefs , and pro- lix Problems . L 14. 6 . 2 Cor . 1.14.6 . and 44 are wholly omit- 3 . 35 , 36 , 18 37 & 38. f Thofe which are 30 Prob . 35. 5 not numbered 31 16 ...
... Euclid . 25 Prob . 38 . 14. 26 - Cor . to 17 . 16.27 18 . 28 and 29 are ufelefs , and pro- lix Problems . L 14. 6 . 2 Cor . 1.14.6 . and 44 are wholly omit- 3 . 35 , 36 , 18 37 & 38. f Thofe which are 30 Prob . 35. 5 not numbered 31 16 ...
Side v
... Euclid ; and , had it firft fallen in my way , I fhould certainly have lain it afide before I had got through a fourth part of it ; yet , I must acknowledge , that Tacquet is as much too brief as the other is tedious . I cannot think it ...
... Euclid ; and , had it firft fallen in my way , I fhould certainly have lain it afide before I had got through a fourth part of it ; yet , I must acknowledge , that Tacquet is as much too brief as the other is tedious . I cannot think it ...
Side viii
... Euclid ; which , in cafe of reference , to Euclid , in other Works , may be readily turned to . I have well confidered and digefted every Propofition , have carefully revised them over and over with the ftrictest attention , and I am ...
... Euclid ; which , in cafe of reference , to Euclid , in other Works , may be readily turned to . I have well confidered and digefted every Propofition , have carefully revised them over and over with the ftrictest attention , and I am ...
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A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ... Thomas Malton Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 118 - When you have proved that the three angles of every triangle are equal to two right angles...
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 118 - Angles, taken together, is equal to Twice as many Right Angles, wanting four, as the Figure has Sides.