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" Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and parallelograms that have one angle of the one equal to one angle of the other, and their sides... "
Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ... - Page 94
by Dennis M'Curdy - 1846 - 138 pages
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...was to be done. PROP. XIV. THEOR. Equal parallelograms, which ave one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional .- and parallelograms that have one angle of the one equal to one angle of the other, and their sides about...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 210 pages
...equiangular. Equal parallelograms, and also equal triangles, which have one angle of one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and parallelograms, and also • triangles, which have one angle of one equal to one angle of the other,...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...equal to one another ; and, conversely, equal triangles which have one. angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional. For, if the triangles be completed into parallelograms having the same equal angles and the same sides...
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A Collection of Cambridge Mathematical Examination Papers: Papers in the ...

John Martin Frederick Wright - Astronomy - 1831 - 282 pages
...parallels, are equal to one another. 2. Equal parallelograms, which have one angle of one equal to one angle of the other, have their sides about the equal angles reciprocally proportional and conversely. 3. Find the radius of a sphere described about a given regular tetrahedron. 4. Multiply...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1832 - 358 pages
...parallelograms, &c. QED PROP. XV. THEOR. Equal triangles which have one angle of the one equal to one angle of the other have their sides about the equal angles reciprocally proportional: Jind triangles which have one angle in the one equal to one angle in the other, and their sides about...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 346 pages
...parallelograms, &c. QED PROP. XV. THEOR. * Equal triangles which have one angle of the one equal to one angle of the other have their sides about the equal angles reciprocally proportiontil : And triangles which have one angle in the one equal to one angle in the other, and...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 336 pages
...the parallelogram BC. PROP. XV. THEOR. Equal triangles which have one angle of the one equal to one angle of the other have their sides about the equal angles reciprocally proportional ; And triangles which have one angle in the one equal to one angle in the other, and their sides about the equal angles...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...11. 1. b 31. 3. PROP. XIV. THEOR. Equal parallelograms, which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : And parallelograms that have one angle of the one equal to one angle of the other, and their sides about...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...equal to one another ; and, conversely, equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional. For, if the triangles be completed into parallelograms having the same equal angles and the same sides...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...segment adjacent to that side. XIV. Equal parallelograms which have one angle of the one equal to onfi angle of the other, have their sides about the equal angles reciprocally proportional : And parallelograms which have one angle of the one equal to one angle of the other, and their sides about...
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