| Edinburgh univ - 1871 - 392 pages
...angular points of the triangle, the greatest of these shall be equal to the other two together. 6. **Equiangular parallelograms have to one another the ratio which is compounded of the ratios of** their sides. 8. If the angle of a triangle be bisected, and perpendiculars be drawn to the bisecting... | |
| 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... | |
| 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... | |
| 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,... | |
| 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... | |
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