 | Geography - 1867 - 964 pages
...any point in tho straight line HK, produced both ways indefinitely. Triangles also which stand npon equal bases and between the same parallels are equal to one another. Thus, the triangles LNG, M o F, which „ ._ stand on equal bases, NG, F o, and K between the same... | |
 | Robert Simson - Trigonometry - 1806 - 548 pages
...ABC is'equal to the triangle DBC. Wherefore, triangles, fee, QE D, 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... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...Ax. ABC is equald to the triangle DBC. Wherefore, triangles, &c. QED 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... | |
 | Robert Gibson - Surveying - 1806 - 484 pages
...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 - 488 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,... | |
 | 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 - 592 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 - 500 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 - Circle-squaring - 1819 - 348 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... | |
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Triangles upon equal bases, and between the same parallels, are equal to one another. 
