| 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... | |
| 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 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
...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
...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... | |
| 1884
...to two right angles. 15. Triangles which have one angle of the one equal to one angle of the other, **have to one another the ratio which is compounded of the ratios of** their sides. Algebra. Junior, Senior, and Higher Local. Junior Work, Nos. 1 — 9 inclusive. Senior... | |
| Euclid, Isaac Todhunter - 1883 - 400 sider
...Therefore PR is equal to GH. triangles which have one angle of tlie one equal to one angle of tht other, **have to one another the ratio which is compounded of the ratios of** their sides. Then VI. 19 ig an immediate consequence of this theorem. For let ABC and DBF he similar... | |
| Euclides - 1884
...EF: OH, then A&> : CD* = EF* : Off*. 2. If two ratios be equal, their duplicates are equal. Mutually **equiangular parallelograms have to one another the ratio which is compounded of the ratios of** their sides.* AF G' Let ||m AB be equiangular to l|m BC, having L DBF = L GBE: it is required to prove... | |
| GEORGE BRUCE HALSTED - 1885
...composition of two equal ratios is called the Duplicate Ratio of either. THEOREM XVII. 542. Mutually **equiangular parallelograms have to one another the ratio which is compounded of the ratios of** their sides. \ \ PROOF. Place the 2=75 so that HC and CB are in one line ; then, by 109, DC and CF... | |
| 1885
...proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the means. 6. **Equiangular parallelograms have to one another the ratio which is compounded of the ratios of** their sides. NB— Female Candidates for Class I. will receive credit for any work correctly done in... | |
| George Bruce Halsted - 1886 - 366 sider
...composition of two equal ratios is called the Duplicate Ratio of either. THEOREM XVII. 542. Mutually **equiangular parallelograms have to one another the ratio which is compounded of the ratios of** their sides. PROOF. Place the ZK so that HC and CB are in one line ; then, by 109, DC and CF are in... | |
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