 | Robert Gibson - 1806 - 486 σελίδες
...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 parallel0gram ABDC ^BDFE=EFHG. .fig.... | |
 | Robert Gibson - 1808 - 482 σελίδες
...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,... | |
 | John Mason Good - 1813 - 714 σελίδες
...npon the 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 σελίδες
...therefore the triangle ABC is equal to the triangle DBC. Wherefore triangles, &c. QED PROP. XXXVIII. THEOR. TRIANGLES upon equal bases, and between the same parallels,...the triangles ABC, DEF be upon equal bases BC, EF, aud between the same parallels BF, AD : The triangle ABC is equal to the triangle DEF. * 3i. i. B draw... | |
 | Euclides - 1816 - 588 σελίδες
...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 - 1818 - 502 σελίδες
...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 - 350 σελίδες
...equal to EFGH. Wherefore, parallelograms, &c* Q,. ED PROP. XXXVII. THEOR. Triangles upon the same base, and between the same parallels, are equal to one another. Let the triangles ABC, DBC be upon the same base BC, and between the same parallels AD, ^_ BC : The triangle ABC, is e- •&... | |
 | John Playfair - 1819 - 354 σελίδες
...EBCF. Therefore, parallelograms upon the same base, &c. Q. E%13. PROP. XXXVI. THEOR. Parallelograms upon equal bases, and between the same parallels, are equal to one another. Let ABCD, EFGH be parallelograms upon equal bases BC, FG, A DE and between the same parallels AH, BG •... | |
 | John Mason Good - 1819 - 800 σελίδες
...base, and between the tame parallels, are equal to one another. Piop. XXXVI. Theor. Paralljloirram« upon equal bases, and between the same parallels, are equal to one another. I'rop. XXXVII. Theor. Triangles upon the same base, and between the »ame parallels, are equal to one... | |
 | Robert Gibson - 1821 - 594 σελίδες
...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. 
