 | 1851 - 268 pàgines
...have their sides about their equal angles reciprocally proportional. .3. Equiangular paralellograms have to one another the ratio which is compounded of the ratios of their sides. SECTION IV. 1. Upon a given base to describe an isosceles triangle equal to a given rectangle. 2. To... | |
 | Sir James Kay-Shuttleworth - 1853 - 554 pàgines
...to one angle of the other, have their sides about their equal angles reciprocally proportional. 3. Equiangular parallelograms have to one another the...which is compounded of the ratios of their sides. Section 4. 1. Upon a given base to describe an isosceles triangle equal to a given rectangle. 2. To... | |
 | Sir James Kay-Shuttleworth - 1853 - 524 pàgines
...their sides about their equal angles reciprocally proportional. 3. Equiangular parallelograms hare to one another the ratio which is compounded of the ratios of their sides. Section 4. 1. Upon a given base to describe an isosceles triangle equal to a given rectangle. . 2.... | |
 | Euclides - 1853 - 334 pàgines
...THEOE. If two parallelograms have one angle of the one equal to one angle of the other : then they shall have to one another the ratio which is compounded of the ratios of each pair of sides about the equal angles. Let ABCD, EFGH be two parallelograms, having the angle ABC... | |
 | Royal Military Academy, Woolwich - 1853 - 400 pàgines
...equal to the angle ECG : the ratio of the parallelogram AC to the parallelogram CF, is the same with the ratio which is compounded of the ratios of their sides. Let BC, CG be placed in a straight line ; therefore DC and CE are also in a straight line (14. i.) ; and... | |
 | Euclides - 1853 - 176 pàgines
...the angle e С g '• the ratio of the parallelogram a С to the parallelogram. С fis the same with the ratio which is compounded of the ratios of their sides. Let bС, С g be placed in a straight line ; therefore d С and С e are also in a straight line (i. 14)... | |
 | Euclides - 1855 - 270 pàgines
...described upon them, are also continual proportionals ; and amversely. PROP. XXIIL THEOREM. taugu/ar parallelograms have to one another the ratio which is compounded of the ratios of their sides Let AC and CF be equiangular parallelograms, having the angle BCD equal to the angle EC G. The ratio of the... | |
 | Robert Potts - 1855 - 1050 pàgines
...angles to each of them in that point; these three straight lines are in cue and the same plane. 14. Equiangular parallelograms have to one another the...which is compounded of the ratios of their sides. Draw a straight line perpendicular to the plane of a triangle such that if any point in it be joined... | |
 | Noble Heath - 1855 - 468 pàgines
...multiplying the base by its perpendicular height or altitude, (103,) it is evident that the areas of any two parallelograms have to one another the ratio which is compounded of the ratios of their bases and altitudes. Hence we deduce the following properties : 1. Parallelograms of equal base and... | |
 | Euclides - 1855 - 230 pàgines
...similarly situated. They are to one another as the rectangles under their bases and altitudes. They have to one another the ratio which is compounded of the ratios of their sides. Their sides about the eqnal angles are reciprocally proportional. They are equal to one another. They... | |
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Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. 
