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 Bøker Bok Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 329
av Euclid, Robert Simson - 1821 - 516 sider
Uten tilgangsbegrensning - Om denne boken Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...angles to each of them in that point; these three straight lines are in cue and the same plane. 14. Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. Draw a straight line perpendicular to the plane of a triangle such that if any point in...
Uten tilgangsbegrensning - Om denne boken The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...described upon them, are also continual proportionals ; and amversely. PROP. XXIIL THEOREM. taugu/ar parallelograms have to one another the ratio which is compounded of the ratios of their sides Let AC and CF be equiangular parallelograms, having the angle BCD equal to the angle EC...
Uten tilgangsbegrensning - Om denne boken A Treatise on Arithmetic ...

Noble Heath - 1855 - 455 sider
...multiplying the base by its perpendicular height or altitude, (103,) it is evident that the areas of any two parallelograms have to one another the ratio which is compounded of the ratios of their bases and altitudes. Hence we deduce the following properties : 1. Parallelograms of equal base...
Uten tilgangsbegrensning - Om denne boken The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855
...similarly situated. They are to one another as the rectangles under their bases and altitudes. They have to one another the ratio which is compounded of the ratios of their sides. Their sides about the eqnal angles are reciprocally proportional. They are equal to one...
Uten tilgangsbegrensning - Om denne boken A Treatise on Arithmetic: Through which the Entire Science Can be Most ...

Noble Heath - 1856 - 455 sider
...multiplying the base by its perpendicular height or altitude, (103,) it is evident that the areas of any two parallelograms have to one another the ratio which is compounded of the ratios of their bases and altitudes. Hence we deduce the following properties : 1. Parallelograms of equal base...
Uten tilgangsbegrensning - Om denne boken The English Journal of Education, Volumer 11-13

1857
...shall be equiangular, and shall have those angles equal about which the sides are proportional. 2. Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. 3. If the sides of any polygon be produced to meet the alternate sides, also produced,...
Uten tilgangsbegrensning - Om denne boken Manual of Euclid: books iv., v., vi., by J.A. Galbraith and S. Haughton

Euclides - 1859
...Ta "taoyúvia rrapaXXqXóypa/i/ia irpоçâXXqXa Xóyov ÉXC* Tоv ffvyKtípívov ¿K TÜV ir\ivpwv. Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. Statement — Let AC and CF be equiangular parallelograms, having the angle BCD equal...
Uten tilgangsbegrensning - Om denne boken Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 sider
...a circle for the base and the vertex on the circumference, determine that which is the greatest. 2. Equiangular parallelograms have to one another the ratio which is compounded of the ratio of their sides AB, AD, the sides of a rectangle, are 8 and 6, parallelograms are described about...
Uten tilgangsbegrensning - Om denne boken Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...parallelograms are proportional to the squares of their homologous sides. 36. How is it s.hewn that equiangular parallelograms have to one another the ratio which is compounded of the ratios of their bases and altitudes ? 37. To find two lines which shall have to each other, the ratio compounded...
Uten tilgangsbegrensning - Om denne boken The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860
...similarly situated. fThey are to one another as -j the rectangles under their ( bases and altitudes. They have to one another the ratio which is compounded of the ratios of their sides. Their sides about the eqnal angles are reciprocally proportional. They are equal to one...
Uten tilgangsbegrensning - Om denne boken