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" Triangles upon equal bases, and between the same parallels, are equal to one another. "
The school Euclid: comprising the first four books, by A.K. Isbister - Side 43
af Euclides - 1862
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The Popular Educator, Bind 1–2;Bind 12

1867 - 964 sider
...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 sider
...triangle d 7. 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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 sider
...the triangle 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...
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A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - 1806 - 486 sider
...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....
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A Treatise of Practical Surveying, ...

Robert Gibson - 1808 - 482 sider
...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,...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Bind 5

John Mason Good - 1813 - 714 sider
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 sider
...-the triangle ABC is equal to the triangle DBC. Wherefore triangles, 8tc. 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...
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A Treatise on Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - 1818 - 502 sider
...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....
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 sider
...the triangle ABC is eqiial 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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Bind 5

John Mason Good - 1819 - 800 sider
...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...
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