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" From this it is plain, that triangles and parallelograms that have equal altitudes, are to one another as their bases. Let the figures be placed so as to have their bases in the same straight line; and having drawn perpendiculars from the vertices of... "
The elements of plane geometry; or, The first six books of Euclid, ed. by W ... - Strona 88
autor: Euclides - 1863
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - Liczba stron: 466
...to another as their bafes. Let the figures be placed fo as to have their bafes in the fame ftraight line ; and having drawn perpendiculars from the vertices of the triangles to the bafes, the ftraight line which joins the vertices is parallel to that in which their bafes arc f, becaufe...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - Liczba stron: 520
...one to another as their bafesLet the figures be placed fo as to have their bafes in the fame ftraight line ; and having drawn perpendiculars from the vertices of the triangles to the bafes, the ftraight line which joins the unices is parallel to that in which their bafes are f , becaufe...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - Liczba stron: 520
...to another as their bafes. Let the figures be placed fo is to have their bafes in the fame ftraight line ; and having drawn perpendiculars from the vertices of the triangles to the bafes, the ftraight line which joins the vertices is parallel to that in which their bafes arer, becaufe...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - Liczba stron: 400
...another as their bafes. / \ Let the figure^ be placed fo as to have their, bafes in the fame ftraight line.; and having drawn perpendiculars from the vertices of the triangles to the bafes, the ftraight line which joins the vertices is parallel to that in which their bafes are f, f...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...to another as their bales. Let the figures be placed fo as to have their bafes in the fame ftraight line; and having drawn perpendiculars from the vertices of the triangles to the bafes, the ilraight line which joins the vertices is parallel to that in which their bafes are f, becaufe...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - Liczba stron: 518
...plain, that triangles and parallelograms that have equal altitudes, are one to another as their bases. Let the figures be placed so as to have their bases...vertices is parallel to that in which their bases are ', because the f 33. 1. perpendiculars are both equal and parallel to one another: then, if the same...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - Liczba stron: 311
...COR. Triangles, and also parallelograms, that have equal altitudes, are to one another as their bases. Let the figures be placed so as to have their bases in the same straight line, and let perpendiculars be drawn from the vertices of the triangles to the bases ; the straight line which...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - Liczba stron: 518
...plain, that triangles and parallelograms that have equal altitudes, are one to another as their bases. Let the figures be placed so as to have their bases...vertices is parallel to that in which their bases aref, because the f 33.1. perpendiculars are both equal and parallel to one another: then, if the same...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...the parallelogram EC to the parallelogram CF. Where- * "• *• fore, triangles, &c. QED Let their figures be placed so as to have their bases in the...vertices is parallel to that in which their bases are f , because the perpendiculars are both equal and f S3. i. parallel to one another. Then, if the same...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - Liczba stron: 528
...plain, that triangles and parallelograms that have equal altitudes are one to another as their bases. Let the figures be placed so as to have their bases...vertices of the triangles to the bases, the straight Jine which joins the vertices is parallel to that in which their bases aref, because the perpendiculars...
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