 | Robert Gibson - 1808 - 482 pages
...ABCD being a parallelogram, AB will be=CD and AD=BC. THEO. XIII. All parallelograms on the same or equal bases and between the same parallels, are equal to one another, that is, ifBD=GH, and the lines Ell and AY parallel, then the parallelogram ABDC=BDFE=EFHG. fc 31,... | |
 | Euclid - Geometry - 1810 - 554 pages
...QED PROP. XXXVI. THEOR. PARALLELOGRAMS upon equal bases, and between the same parallels, are e^ual to one another. Let ABCD, EFGH be parallelograms upon...parallelogram ABCD is equal to EFGH. Join BE, CH ; and be- BC t , G oust BC is equal to FG, and FG to » EH, BC is equal to EH ; a 34.1. and they are parallels,... | |
 | John Mason Good - 1813 - 714 pages
...same base, and between the same parallels, are equal to one another. Prop. XXXVIII. Theor. Triangles upon equal bases, and between the same parallels, are equal to one another. Prop. XXXIX. Theor. Equal triangles upon the same base, and upon the same side of it, are between the... | |
 | Euclides - 1814 - 560 pages
...Therefore parallelograms upon the same base, &c. QED BooR I. PROP. XXXVI. THEOR. '—v^> PARALLEL0GRAMS upon equal bases, and between the same parallels, are equal to one another. Let ABCD, EFGH.be _. equal to EFGH. L . parallelograms upon e- '— qual bases BC.FG, and between the same parallels... | |
 | Euclides - 1816 - 588 pages
...parallelogram EBCF. Therefore parallelograms upon the same base, &c. QED 1 PROP. XXXVI. THEOR. Boot I. PARALLELOGRAMS upon equal bases, and between the same parallels, are equal to one another. •f> K LetABCD,EFGH,be parallelograms upon equal bases BC,FG, and between the same parallels AH, BG;... | |
 | Robert Gibson - Surveying - 1818 - 502 pages
...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. /g. 31.... | |
 | John Playfair - 1819 - 354 pages
...parallelogram EBCF. Therefore, parallelograms upon the same base, &c. Q. E%13. PROP. XXXVI. THEOR. Parallelograms upon equal bases, and between the same...ABCD, EFGH be parallelograms upon equal bases BC, FG, A DE and between the same parallels AH, BG • the parallelogram ABCD is equal to EFGH. Join BE, CH... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...triangle ABC is equal to the triangle DBC. Wherefore triangles, &c. Q, ED PROP. XXXVIII. THEOR. Triangles upon equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF, AD : The triangle... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...bases, and between the sauie parallels, are equal to one another. Let ABCD, EFGH be pa- AD rallelograms upon equal bases BC, FG, and between the same parallels AH, BG; the parallelogram ABC D is equal to EFGH. Join BE,CH; and because BC is equal to FG, and FG jto (34. 1.) EH, BC is equal... | |
 | Robert Gibson - Surveying - 1821 - 594 pages
...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.= EfHG.... | |
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Parallelograms upon equal bases, and between the same parallels, are equal to one another. 
