 | Charles Astor Bristed - 1874 - Liczba stron: 632
...of gravity. SENATE-HOUSE EXAMINATION. FRIDAY, Jan. 3, 1845. 9 . . . ll£. 1. DEFINE compound ratio. Equiangular parallelograms have to one another the...which is compounded of the ratios of their sides. 2. Draw a straight line perpendicular to a plane from a given point above it. a. Show how to find the... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - Liczba stron: 236
...the other, have the sides ahout the equal angles reciprocally proportional. Cor. 3. — Hence also equiangular parallelograms have to one another the...which is compounded of the ratios of their sides. Schol. — If an oblique-angled parallelogram be taken, and the same construction made as in I. App.,... | |
 | Braithwaite Arnett - 1874 - Liczba stron: 130
...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: 446
...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 - Liczba stron: 268
...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 - Liczba stron: 452
...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 - Liczba stron: 562
...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 - Liczba stron: 310
...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 - Liczba stron: 414
...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 - Liczba stron: 190
...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... | |
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Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. 
