| Braithwaite Arnett - 1874
...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 upon the diagonals... | |
| Robert Potts - 1876 - Liczba stron: 403
...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 of... | |
| Richard Wormell - 1876
...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
...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 chords,... | |
| Great Britain. Education Department. Department of Science and Art - 1877
...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 upon the... | |
| James McDowell - 1878
...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...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 ratio compounded... | |
| University of Oxford - 1879
...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 resultant... | |
| Woolwich roy. military acad, Walter Ferrier Austin - 1880
...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...which is compounded of the ratios of their sides.** Two circles touch one another externally at A. A straight line touches the circles at B and C, and... | |
| Sandhurst roy. military coll - 1880
...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 chords,... | |
| Isaac Todhunter - 1880 - Liczba stron: 400
...having the angle BCD equal to the angle ECG; the parallelogram AC shall have to the parallelogram CF **the ratio which is compounded of the ratios of their sides. Let** BC and CG be placed in a straight line ; therefore DC and CE are also in a straight line; [I. 14. complete... | |
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