| Geography - 1867
...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 - 518 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 - Euclid's Elements - 1806 - 311 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 - 452 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 - 440 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
...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 - 558 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 - 528 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 - 478 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 - Euclid's Elements - 1819 - 333 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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