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 Książki Książki Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. Elements of Geometry: Containing the First Six Books of Euclid with a ... - Strona 140
autor: John Playfair - 1855 - Liczba stron: 318
Pełny widok - Informacje o książce ## Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...AE, AD will be equal to the rectangle AB, AC. 8. Parallelograms which are equiangular to one another have to one another the ratio which is compounded of the ratios of their sides. 9. ABCD is a rectangle, and E, F, G, and H are the feet of the perpendiculars let fall upon the diagonals...
Pełny widok - Informacje o książce ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - Liczba stron: 403
...parallelograms are proportional to the squares of their homo-' logons sides. 36. How is it shewn that equiangular parallelograms have to one another the ratio which is compounded of the ratios of their bases and altitudes? 37. To find two lines which shall have to each other, the ratio com. pounded of...
Pełny widok - Informacje o książce ## Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...four straight lines be proportionals, those straight lines shall be proportionals. .. .. .. 215 23. Equiangular parallelograms have to one another the ratio which is compounded of the ratio of their sides. . . . . ' . . . . . . 215 24. The parallelograms about the diagonal of any parallelogram...
Pełny widok - Informacje o książce ## Mathematical exercises

Samuel H.. Winter - 1877
...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 chords,...
Pełny widok - Informacje o książce ## Examination Papers for Science Schools and Classes

...their angles proportional, the triangles will be similar. 2. Prove that the areas of two rectangles have to one another the ratio which is compounded of the ratios of their sides ; and thence show that, if a perpendicular be drawn from one of the angles of a rectangle upon the...
Pełny widok - Informacje o książce ## Exercises on Euclid and in modern geometry, New ed., revised

James McDowell - 1878
...we may concisely express it, as AB3 : CD3. Euclid has proved (YI. 23) that rectangles (for they are equiangular parallelograms) have to one another the...which is compounded of the ratios of their sides. If, therefore, BC, CD and CG, CE be the adjacent sides of two rectangles, Therefore the ratio compounded...
Pełny widok - Informacje o książce ## First Public Examination in Literis Graecis Et Latinis

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 resultant...
Pełny widok - Informacje o książce ## Military examinations. Mathematical examination papers, set for entrance to ...

...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...which is compounded of the ratios of their sides. Two circles touch one another externally at A. A straight line touches the circles at B and C, and...
Pełny widok - Informacje o książce ## Military examinations. Mathematical examination papers, set at entrance to ...

...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 chords,...
Pełny widok - Informacje o książce ## The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - Liczba stron: 400
...having the angle BCD equal to the angle ECG; the parallelogram AC shall have to the parallelogram CF the ratio which is compounded of the ratios of their sides. Let BC and CG be placed in a straight line ; therefore DC and CE are also in a straight line; [I. 14. complete...
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