 | Euclid - Geometry - 1892 - 460 pages
...magnitude. [Book v. Def. 12.] 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. ADH K LM EF Let the par'" AC be equiangular to the par™ CF, having the L. BCD equal to the L ECG... | |
 | 1898 - 830 pages
...externally their common tangent is a mean proportional between their diameters (4 marks). 8. Prove that equiangular parallelograms have to one another the...ratio which is compounded of the ratios of their sides (10 marks). Show also that triangles which have one angle of the one equal or supplemental to one angle... | |
 | Edinburgh Mathematical Society - Electronic journals - 1899 - 340 pages
...:NH =(EF : GH)2 But KAB:LCD= MF : NH (AB : CD)2 = (EF : GH)2 AB :CD = EF : GH EUCLID VI. 23. Mutually equiangular parallelograms have to one another the...which is compounded of the ratios of their sides. Let parallelogram BE be equiangular to parallelogram CD, and let _ to prove / / / .|pBE:||-CD = (AB:AC)(AE:AD).... | |
 | Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...on the diagonal of the rectangle. 11. Prove that parallelograms which are equiangular to one another have to one another the ratio which is compounded of the ratios of their sides. 12. Prove that, in any right-angled triangle, any rectilineal figure described on the side subtending... | |
 | 1903 - 188 pages
...together equal to two right angles. (c) Shew that parallelograms which are equiangular to one another have to one another the ratio which is compounded of the ratios of their sides. 3. Describe a circle which shall pass through a given point and touch two given straight lines. 9.... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...magnitude. [Book v. Def. 11.] 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. ADH \ KLMEF Let the parm AC be equiangular to the parm CF, having the L. BCD equal to the L ECG. Then... | |
 | 1906 - 818 pages
...about those angles reciprocally proportional, are equal to one another. 4. Equiangular parallexigrams have to one another the ratio which is compounded of the ratios of their sides. SECTION B. 5. AB is a given straight line, produce it through B to P so that AB.AP = BPa. 6. Let A... | |
 | Association of Ontario Land Surveyors - Surveying - 1907 - 218 pages
...a quadrilateral figure inBcribed in a circle are together equal to two right angles. 9. Equangular parallelograms have to one another the ratio which is compounded of the ratio of their sides. 10. If an angle of a triangle be bisected by a straight line which likewise cuts... | |
 | Euclid - Mathematics, Greek - 1908 - 456 pages
...Mr Taylor and Dr Lachlan). PROPOSITION 23. Equiangular parallelograms have to one another the ratio compounded of the ratios of their sides. Let AC, CF...parallelograms having the angle BCD equal to the angle ECG ; 5! say that the parallelogram AC has to the parallelogram CF the ratio compounded of the ratios of... | |
 | Euclid - 452 pages
...Taylor and Dr I.uchliin). PROPOSITION 23. Equiangular parallelograms have to one another the ratio compounded of the ratios of their sides. Let AC, CF...parallelograms having the angle BCD equal to the angle ECG ; 5 I say that the parallelogram AC has to the parallelogram CF the ratio compounded of the ratios... | |
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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 ; the ratio of the parallelogram AC to the parallelogram CF... 
