 | Dublin city, univ - 1871 - 366 pages
...triangles will be equiangular, and will have those angles equal about which the sides are proportional ? 8. Equiangular parallelograms have to one another the ratio which is compounded of the ratio of their sides ? DR. STUBBS. 1. The square of the bisector of the vertical angle of a triangle... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...are together equal to four times the quadrilateral figure. PROPOSITION XXVI. THEOREM. (Eucl. vi. 23.) Equiangular parallelograms have to one another the ratio, which is compounded of the ratios of their sides. B. JI \ \. K. ZM Let AC and CF be equiangular Os, baving L BCD = L ECG. Then must LJ AC... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...to a similar and similarly described triangle upon the second, PROP. XIV.— THEOREM. (Eoo. VI. 23.) Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. Let ABCD and CHGF be two equiangular parallelograms, having the angles BCD and HCP equal,... | |
 | Euclides - 1874 - 342 pages
...is to CD, as EF to GH (V. 7). If therefore, four straight lines, &c. QED PROPOSITION 23. —Theorem. Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle ECG.... | |
 | Charles Astor Bristed - 1874 - 632 pages
...of gravity. SENATE-HOUSE EXAMINATION. FRIDAY, Jan. 3, 1845. 9 . . . ll£. 1. DEFINE compound ratio. Equiangular parallelograms have to one another the ratio 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... | |
 | Braithwaite Arnett - 1874 - 130 pages
...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 - Geometry - 1876 - 446 pages
...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 pages
...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 pages
...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 pages
...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... | |
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Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. 
