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" PROPOSITION I. PROBLEM. — To describe an equilateral triangle upon a given finite straight line. Let AB be the given straight line; it is required to describe an equilateral triangle upon it. "
Geometrical Problems Deducible from the First Six Books of Euclid: Arranged ... - Seite 164
von Miles Bland - 1827 - 377 Seiten
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 Seiten
...are less than two " right angles." PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given finite straight line, Let AB be the given straight line; it is required to describe an equilateral triangle upon it. From the centre A, at the dis* 3 Pos- tance...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 Seiten
...book, where it is repeated. ELEMENTS PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given finite straight line. Let AB be the given straight line ; it is required to describe an equilateral triangle upon it. From the centre A, at the distance AB,...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 Seiten
...two right angles." PROPOSITIONS. PROPOSITION I. PROBLEM. — To describe an equilateral triangle upon a given finite straight line. Let AB be the given straight line; it is required to describe an equilateral triangle upon it. From the centre A, at the distance AB,...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 Seiten
...which are less than two right angles. PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given finite straight line. Let AB be the given straight line : it is required to describe an equilateral triangle upon AB. From the centre A, at the distance AB,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 Seiten
...rallcl to the same straight line." PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given finite straight line. Let AB be the given straight line ; it is required to describe an equilateral triangle upon it. From the centre A, at the distance AB,...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 Seiten
...which are less than two right angles." PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given finite straight line. Let AB be the given straight line ; it is required to describe an equilateral triangle upon it. From the centre A, at the distance AB,...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 Seiten
...Proposition of the First Book.] BOOK I. PROPOSITION I. PROBLEM. • To describe an equilateral triangle upon a given finite straight line. Let AB be the given straight line: it is required to describe an equilateral triangle upon it. From the centre A, at the • 3 Postu,...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 Seiten
...are less than two right angles." PROPOSITION I. — PROBLEM. To describe an equilateral triangle upon a given finite straight line. Let AB be the given straight line ; it is required to describe an equilateral triangle upon it. From the centre A, at the distance AB,...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Bücher 1

Euclides - 1853 - 334 Seiten
...clearer the enunciations of Prop8. 27, 28, 29. PROPOSITIONS. PEOP. I. PEOBLEM. To describe an equilateral triangle on a given finite straight line. Let AB be the given finite straight line. It is required to describe an equilateral triangle on AB. With one of the extremities...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 Seiten
...than two right angles. PROPOSITIONS. PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given finite straight line. Let AB be the given straight line ; it is required to describe an equilateral triangle upon it. From the centre A, at the distance AB,...
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