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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 ## An elementary treatise on mensuration

Benjamin Theophilus Moore - 1863 - Liczba stron: 278
...area of a rectangle. In Euclid's Elements of Geometry, Book VI. Proposition 23, it is proved that " Equiangular parallelograms have to one another the...ratio which is compounded of the ratios of their sides ;" and therefore rectangles, which are equiangular parallelograms, have to one another this same ratio....
Pełny widok - Informacje o książce ## Register

University of Cambridge - 1864
...its angular points on the same circle and all its angles equal, then shall all its sides be equal. 5. Equiangular parallelograms have to one another the...which is compounded of the ratios of their sides. If one parallelogram have to another parallelogram the ratio which is compounded of the ratios of their...
Pełny widok - Informacje o książce ## Guide to the Civil service

Henry White - 1864
...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...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 square (1)...
Pełny widok - Informacje o książce ## Solutions of the Problems and Riders Proposed in the Senate-house ...

William Walton - 1864 - Liczba stron: 212
...sideAB = CD = EF=...= ZA = BC=..., the number of sides being odd. So that all the sides are equal. 5. Equiangular parallelograms have to one another the...which is compounded of the ratios of their sides. If one parallelogram have to another parallelogram the ratio which is compounded of the ratios of their...
Pełny widok - Informacje o książce ## The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...parallelograms are proportional to the squares of their homologous 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 compounded of...
Pełny widok - Informacje o książce ## The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...is to CD, as EF to OH. (T. 7.) If, therefore, four straight lines, &c. QED PROP. XXIII.— THEOREM. Equiangular parallelograms have to one another the...which is compounded of the ratios of their sides, (References— Prop. i. U ; v. 11, 22, def. A ; VI. 1, 12.) Let AC, CF be eqniangolar parallelograms,...
Pełny widok - Informacje o książce ## 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...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 square (1)...
Pełny widok - Informacje o książce ## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - Liczba stron: 400
...the following theorem, triangles which have one angle of tJie 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. ig is an immediate consequence of this theorem. For let ABC and DEF be similar triangles,...
Pełny widok - Informacje o książce ## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - Liczba stron: 400
...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 triangles,...
Pełny widok - Informacje o książce ## Manual of Euclid: Books IV, V, VI, and Propositions 1-21 of Book XI

Euclid - 1868 - Liczba stron: 141
...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...which is compounded of the ratios of their sides. Statement Let AC and CF be equiangular parallelograms, having the angle BCD equal to the angle ECG....
Pełny widok - Informacje o książce