 | Braithwaite Arnett - 1874 - 130 pagina’s
...AE, AD will be equal to the rectangle AB, AC. 8. Parallelograms which are equiangular to one another have to one another the ratio which is compounded of the ratios of their sides. 9. ABCD is a rectangle, and E, F, G, and H are the feet of the perpendiculars let fall... | |
 | Robert Potts - 1876 - 446 pagina’s
...parallelograms are proportional to the squares of their homo-' logons sides. 36. How is it shewn 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 com. pounded... | |
 | Richard Wormell - 1876 - 268 pagina’s
...four straight lines be proportionals, those straight lines shall be proportionals. .. .. .. 215 23. Equiangular parallelograms have to one another the ratio which is compounded of the ratio of their sides. . . . . ' . . . . . . 215 24. The parallelograms about the diagonal of any parallelogram... | |
 | Samuel H. Winter - 1877 - 452 pagina’s
...through A in the points D,E respectively, prove that BD ; DA ; ; CE : EA. 12. Define compound ratio. Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. 13. Prove that every equilateral polygon inscribed in a circle must be equiangular. Is... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 pagina’s
...their angles proportional, the triangles will be similar. 2. Prove that the areas of two rectangles have to one another the ratio which is compounded of the ratios of their sides ; and thence show that, if a perpendicular be drawn from one of the angles of a rectangle... | |
 | James McDowell - 1878 - 310 pagina’s
...we may concisely express it, as AB3 : CD3. Euclid has proved (YI. 23) that rectangles (for they are equiangular parallelograms) have to one another the ratio which is compounded of the ratios of their sides. If, therefore, BC, CD and CG, CE be the adjacent sides of two rectangles, Therefore the... | |
 | University of Oxford - 1879 - 414 pagina’s
...shall be greater than the other two together. 10. Parallelograms which are equiangular to one another have to one another the ratio which is compounded of the ratios of their sides. V. Elements of Mechanics. I. 1. Prove the parallelogram offorees for direction. Find the... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pagina’s
...intersection A', B', C', D', E', F. Show that the hexagon A'B'C'D'E'F' is three times as great as ABCDEF. 10. Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. Two circles touch one another externally at A. A straight line touches the circles at... | |
 | Sandhurst roy. military coll - 1880 - 68 pagina’s
...parallelograms have to one another the ratio which is compounded of the ratios of their sides. Show that any two parallelograms have to one another the ratio which is compounded of the ratios of their bases and altitudes. 7. Each of three circles cuts the other two; prove that the three common... | |
 | George Bruce Halsted - 1881 - 258 pagina’s
...assigned whenever we speak of the product of one line by another. GENEKAL PKOOF. Eectangles, being equiangular parallelograms, have to one another the ratio which is compounded of the ratios of their sides. Ww. 315; (Eu. VI 23 . QV. IV. 5). f represent the surfaces or areas of two recand o! represent... | |
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Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. 
