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 Libros Libros 1 - 10 de 30 sobre XIII. •All parallelograms on the same or equal bases and between the same parallels... XIII. •All parallelograms on the same or equal bases and between the same parallels... A Treatise of Practical Surveying, ... - Página 36
por Robert Gibson - 1808 - 440 páginas
Vista completa - Acerca de este libro A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - 1806 - 452 páginas
...ABCD— BDEF ; in like manner we may prove the parallelogram EFGH = BDEF. Wherefore ABDC=BDEF=EFGH. QED Cor. Hence it is plain that triangles on the same or equal bases, artd between the same parallels, are equal, seeing (by cor 2. theo. 12.) they are the halves of their...
Vista completa - Acerca de este libro The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1811 - 508 páginas
...BDEF ; in like manner we may prove the |»rallelogram E FG H= B DEF. Wherefore ABDC=> BDEF=EFHG. 3. ED Cor. Hence it is plain that triangles on the same...bases, and between the same parallels, are equal, seoing (by cor. 2. theo. 1Q.) theyavf the halves of their respective parallelogram • THEO. XIV. PL....
Vista completa - Acerca de este libro The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1814 - 508 páginas
...ABCD=BDEF ; in like manner we may prove the parallelogram EFGH=BDEF. Wherefore ABDC=BDEF=EFHG. QED ч Cor. Hence it is plain that triangles on the same...theo. 12.) they are the halves of their respective parallelogram. THEO. XIV. PL. \,ßg. 32. In every right-angled triangle, ЛВС, the square of the...
Vista completa - Acerca de este libro A Treatise on Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - 1818 - 478 páginas
...proved that ABCD being a parallelogram, AB will be=CD and AD=BC. THEOREM XIII. •All parallelograms on the same or equal bases and between the same parallels, are equal to one another, that is, if BD=GH, and the lines BH and AF parallel, then the parallelogram J1BDC=BDFE=EFHG....
Vista completa - Acerca de este libro The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1821 - 544 páginas
...being a parallelogram, AB will be = CD and AD ~ BC. THEO. XIII. PL. I. Jig. 31. All parallelograma on the same or equal bases and between the same parallels, are equal to one another, that is, if BD = GH, and the lines £H and AF parallel, then the paralleloe-ram JIBDC=,BDFE.=...
Vista completa - Acerca de este libro Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 páginas
...its base and altitude . cor. 16 •и two Greek words, signifying " along one (i) Parallelograms upon the same or equal bases, and between the same parallels, are equal to one another 16 (A) If a parallelogram and a triangle stand upon thesarae base, and between the same...
Vista completa - Acerca de este libro On the study and difficulties of mathematics [by A. De Morgan].

Augustus De Morgan - 1831
...two angles of the others, and the interjacent side equal, are equal in all respects. Parallelograms on the same or equal bases, and between the same parallels, are equal. The explanation of this is as follows : the whole proposition is divided into distinct assertions,...
Vista completa - Acerca de este libro The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1832 - 348 páginas
...ABCD being a parallelogram, AB will be = CD, and AD=BC. THEOREM XIII. PL. l.fig.3l All parallelograms on the same or equal bases and between the same parallels are equal to one another ; that is, if BD=GH, and the lines BH and AF are parallel, then &e parallelogram ABDC—BDFE—EFHG....
Vista completa - Acerca de este libro Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...altitude . cor. 16 • From two Greek words, signifying " along one another.* (i) Parallelograms upon the same or equal bases, and between the same parallels, are equal to one another 16 (/.•) If a parallelogram and a triangle stand upon the same base, and between the...
Vista completa - Acerca de este libro Library of Useful Knowledge: On the study and difficulties of mathematics ...

1836
...angles of the others, and the interjacent side equal, are equal in all respects. /, g Parallelograms on the same or equal bases, and between the same parallels, are equal. The explanation of this is as follows : the whole proposition is divided into distinct assertions,...
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