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" Triangles upon equal bases, and between the same parallels, are equal to one another. "
Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ... - Pagina 1
door Woolwich roy. military acad - 1884
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 pagina’s
...to the parallelogram BF.* Therefore parallelograms, &c. PROP. XXXVI. THEOB. — Parallelograms upon equal bases, and between the same parallels, are equal to one another. Let AC, EG be parallelograms upon equal bases BC, FG, and between the same parallels AH, BG; the parallelogram...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pagina’s
...equal to the triangle DBC. Wherefore triangles, &c. «. ED PROPOSITION XXXVIII. THEOREM. 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 /,"/•', AD....
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Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - 1846 - 168 pagina’s
...def. 34 ; (b), p. 34; (d),ax.2,3; (c), p. 32 ; 3 (c). ax. 6; f/Jp4. QED 36 Th. Parallelograms upon equal bases, and between the same parallels, are equal to one another. Let ABCD, EFGH be two parallelograms upon equal bases BC, FG, and between the A same parallels AH,...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 pagina’s
...EBCF, Ax. 7. .'. the /\* are equal to one another. PROP. XXXV. THEOR. 36. 1 Eu. Parallelograms upon equal bases, and between the same parallels, are equal to one another. Let ABCD, EFGH, be £Z7°" upon = bases BC, FG, and between the same ||s, AH, BG; then /—7 m ABCD...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 pagina’s
...Ax. 7. .'. the /\K are equal to one another. Prop3 »PROP. XXXV. THEOR. 36. 1 Eu. Parallelograms upon equal bases, and between the same parallels, are equal to one another. Let ABCD, EFGH, be £ZT" upon = bases BC, FG, and between the same ||s, AH, BG ; then r—r ABCD =...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pagina’s
...ABC is equal 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 first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pagina’s
...(Prop. XXXIV.) Wherefore = D°» &c.— QED PROP. XXXVI. THEOR. GEN. ENUN. — Parallelograms upon equal bases, and between the same parallels, are equal to one another. ABCD, EFGH PART. ENUN. — Let upon equal bases BC, FG, and between the same || s AH, BG; then the...
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The principles and practice of arithmetic and mensuration: with the use of ...

James Wharton - 1847 - 224 pagina’s
...6, the area = 9 . 6 = 54. By Euclid, Book I., Props. 35 and 36., it is seen that parallelograms upon equal bases and between the same parallels are equal to one another, which is, that the areas of all parallelograms are equal to that of a rectangular parallelogram with...
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 pagina’s
...circle, a sc alene triangle a rhomboid, and a trapezium. Section 2. 1. Prove that parallelograms upon equal bases and between the same parallels are equal to one another. 2. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pagina’s
...base anti between the same parallels, are equal to one another. PROP. XXXVIII. THEOREM. Triangles upon equal bases and between the same parallels, are equal to one another. PROP. XXXIX. THEOREM. Equal triangles upon the same base and upon the same side of it, are between...
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