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" Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 329
av Euclid, Robert Simson - 1821 - 516 sider
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Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1866
...extremities of the base have the same ratio which the other sides of the triangle have to one another. 7. Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. 8. Trisect a given straight line. 9. Construct a rectangle which shall be equal to a given...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...straight lines &c. QED PROPOSITION 23. THEOREM. Parallelograms which are equiangular to one another have to one another the ratio which is compounded of the ratios of their sides. Let the parallelrgram AC be equiangular to the parallelogram CF, having the angle BCD...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...hava the following theorem, triangles which, ham 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. Then VI. 19 is an immediate consequence of this theorem. For let ABC and DEF be similar...
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The Oxford, Cambridge, and Dublin Messenger of Mathematics, Volum 4

1868
...points a, /3. The areas of 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 the sides. Applying this to the triangles PAB, Pa/8, which have the angle at P common, we have algebraically "J....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 sider
...is to CD, as EFto GH. (v. 7.) If therefore, four straight lines, &c. QED PROPOSITION XXIII. 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....
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Manual of Euclid: Books IV, V, VI, and Propositions 1-21 of Book XI

Euclid - 1868 - 141 sider
...Та laoyúvia я-apaXX1)Xóуpa/1/ш irpоc a\\rf\a \oyov ?^fi TÔv avyKfifiivov ÍK TÜV ir\evpwv. Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. Statement Let AC and CF be equiangular parallelograms, having the angle BCD equal to the...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1868
...circles in E and F respectively, show that if AB produced meet EF in C then EC is equal to FO. 11. Equiangular parallelograms have to one another the ratio which is compounded of the ratio of their sides. Assuming that the area of a triangle may be represented by half the product of...
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Civil service guide

Robert Johnston (F.R.G.S.) - 1869 - 178 sider
...extremities of the base have the same ratio which the other sides of the triangle have to one another. 7. Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. 8. Trisect a given straight line. 9. Construct a rectangle which shall be equal to a given...
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The Edinburgh university calendar

Edinburgh univ - 1871
...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...
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Dublin examination papers

Dublin city, univ - 1871
...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...
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