 | Euclid - 1904 - عدد الصفحات: 488
...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 - عدد الصفحات: 818
...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 - 1907 - عدد الصفحات: 218
...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 - 1908 - عدد الصفحات: 456
...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 - عدد الصفحات: 452
...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... | |
 | Edinburgh Mathematical Society - 1900 - عدد الصفحات: 410
...NH = (EF : GH)' But KAB:LCD= MF : NH (AB : CD)2 = (EF :GH)'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 / /I ||™BE:|rOD = (AB:AC)(AE:AD).... | |
 | Great Britain. Scottish Education Dept - 1898 - عدد الصفحات: 106
...is an equilateral and equiangular pentagon. Show how to desci'ibe a circle about it. A. 4. Mutually equiangular parallelograms have to one another the...which is compounded of the ratios of their sides. SECTION B. B. 5. If A : B : : P : Q, B : C : : Q : R, and C : D : : R : S ; state all the proportions... | |
 | University of Cambridge - 1845 - عدد الصفحات: 492
...length of the waves, and g the force of FRIDAY, January 3, 1845. 9...11J. 1. DEFINE compound ratio. Equiangular parallelograms have to one another the...which is compounded of the ratios of their sides. 2. Draw a straight line perpendicular to a plane from a given point above it. 3. Shew how to find the... | |
 | Oxford univ, exam. papers, 2nd publ. exam - 1884 - عدد الصفحات: 594
...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. Second Public Examination. Trinity Term, 1881. Pass School. Group O. Elements of Mechanics. I. 1. Prove... | |
 | London univ - 1874 - عدد الصفحات: 778
...the angle which the two bisectors include between them. 1. Prove that equiangular parallelograms bear to one another the ratio which is compounded of the ratios of their sides. Prove that if X is any point whose distances from two fixed points A, B are in a given ratio, X will... | |
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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... 
