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" Triangles upon equal bases, and between the same parallels, are equal to one another. "
The Theory and Practice of Surveying: Containing All the Instructions ... - Página 52
por Robert Gibson - 1832 - 348 páginas
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 páginas
...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 Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 páginas
...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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Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - 1846 - 168 páginas
...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 Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 páginas
...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 principles and practice of arithmetic and mensuration: with the use of ...

James Wharton - 1847 - 224 páginas
...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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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 páginas
...(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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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 páginas
...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 páginas
...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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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 páginas
...ABC is equal to the triangle DBC. Wherefore triangles, &c. QED PROP. XXXVni. 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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Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volumen2

Great Britain. Committee on Education - 1850 - 942 páginas
...multiple, similar rectilineal figures, and duplicate ratio. 2. Prove Euc. I. 36. Parallelograms upon equal bases, and between the same parallels, are equal to one another. 3. Solve Euc. II. 11. To divide a given finite straight line into two parts, so that the rectangle...
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