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 22
Side 57
... fquare of B G ( i . e . BH ) by - Cor , to 9. 6 . N. B. In the performance of this Problem it is not neceffary to construct the Rectangle ; but only , to draw a Right Line ¦ ( AE ) in which , take AB and B E equal to the measures of the ...
... fquare of B G ( i . e . BH ) by - Cor , to 9. 6 . N. B. In the performance of this Problem it is not neceffary to construct the Rectangle ; but only , to draw a Right Line ¦ ( AE ) in which , take AB and B E equal to the measures of the ...
Side 60
... fquare . i . e . ED square the three Squares , of X , Y and Z .-- 20.1 . APPL . By this useful Problem , Quantities may be increased in any Proportion at pleasure . Alfo , by means of this Problem , and Prop . 20. 1. Carpenters form a ...
... fquare . i . e . ED square the three Squares , of X , Y and Z .-- 20.1 . APPL . By this useful Problem , Quantities may be increased in any Proportion at pleasure . Alfo , by means of this Problem , and Prop . 20. 1. Carpenters form a ...
Side 61
... fquare of which , is equal to the square of BC added to the fquare of CD . Confequently , BD fquare ( equal X ) exceeds BC fquare ( equal Z ) by the fquare of CD ; by Prop . 20. 1 . PRO- B X XN A PROBLÉM XXX . 13. VI . Euclid PRACTICAL ...
... fquare of which , is equal to the square of BC added to the fquare of CD . Confequently , BD fquare ( equal X ) exceeds BC fquare ( equal Z ) by the fquare of CD ; by Prop . 20. 1 . PRO- B X XN A PROBLÉM XXX . 13. VI . Euclid PRACTICAL ...
Side 76
... fquare of AB , to the fquare of BE , is du- plicate of AB to BE , P. 10. & 12.6 . · i . e . their Ratio or Proportion , to each other , is as AB to BD ; and all fimilar Figures are in the fame Ratio , as the Squares of their ...
... fquare of AB , to the fquare of BE , is du- plicate of AB to BE , P. 10. & 12.6 . · i . e . their Ratio or Proportion , to each other , is as AB to BD ; and all fimilar Figures are in the fame Ratio , as the Squares of their ...
Side 107
... N ; the Rectangle under KM and KN , the Segments of that Tangent , will be equal to the fquare of EF , half the Diameter FG , conju gate to the Diameter KL . P 2 6. If G B R M 6. If from the Extremes , F and OF THE ELLIPSIS . 107.
... N ; the Rectangle under KM and KN , the Segments of that Tangent , will be equal to the fquare of EF , half the Diameter FG , conju gate to the Diameter KL . P 2 6. If G B R M 6. If from the Extremes , F and OF THE ELLIPSIS . 107.
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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
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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.