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" ... shall be equal to three given straight lines, but any two whatever of these must be greater than the third. "
Euclid, book i., propositions i. to xxvi., with exercises and alternative ... - Side 37
av Euclides - 1877
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 sider
...viz. A and B greater than C, A and C greater than B, and B and f ' greater than A : it is required to make a triangle, of which the sides shall be equal to A, B, C, each, to each. Take a straight line DE terminated at the point D, but unlimited towards E,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 sider
...the third, viz. A and B greater than C ; A and C greater than B ; and B and C than A. It is required to make a triangle of which the sides shall be equal to A, B, C, each to each. Take a straight line DE, terminated at the point D, but unlimited towards E,...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 sider
...+ DE + EB are < than AC + BC. Wherefore, if a trapezium &c.— QED PROP. XXII. PROB. GEN. ENUN. — To make a triangle of which the sides shall be equal to three given straight lines; but any two whatever of these lines must be greater than the third. PART. ENUN. — Let A, B, c be...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 sider
...these shall be less than the other two sides of the triangle, but shall contain a greater angle. PROP. XXII. PROBLEM. To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of these must be greater than the third. PROP. XXIII. PROBLEM. At a given point...
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Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volum 2

Great Britain. Committee on Education - 1848 - 606 sider
...with which you may be acquainted ; and point out the equivalence of the two assumptions. Section 2. 1. Make a triangle of which the sides shall be equal to three given straight lines. State the condition which must be fulfilled by these given lines ; and point out how the construction...
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Report of the Committee of Council on Education (England and Wales ..., Utgave 2

Great Britain. Council on Education - 1848 - 596 sider
...which you may be acquainted ; and point out the equivalence of the two assumptions. .Section 2. 1. Make a triangle of which the sides shall be equal to three given straight lines. Slate the condition which must be fulfilled by these given lines ; and point out how the construction...
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The Modern Builder's Guide

Minard Lafever - 1849 - 306 sider
...equal to one-third of 3 4 : the straight line 1 5 is the length of the arc 123. PLATE 4.. TO CONSTRUCT A TRIANGLE OF' WHICH THE SIDES SHALL BE EQUAL TO THREE GIVEN STRAIGHT LINES. Let 12, 34, 56, (Plate IV. Fig. 1.) be the three given straight lines ; from one extremity, as 2, of...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 sider
...the third, viz. A and B greater than c ; A and c greater than B ; and B and c than A. It is required to make a triangle of which the sides shall be equal to A, B, c, each to each. Take a straight line DE terminated at the point D, but unlimited towards E,...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 sider
...the third, viz. A and B greater than C ; A and C greater than B; and B and C than A. It is required to make a triangle, of which the sides shall be equal to A, B, C, each to each. Take a straight line DE terminated at the point D, but unlimited towards E,...
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The Sydney University Calendar

University of Sydney - 1853 - 134 sider
...regarding straight lines is requisite in order to prove this ? 2. Shew how to besect a given angle. 3. Make a triangle of which the sides shall be equal to three given lines, any two of which are together greater than the third. Shew distinctly how and why the construction...
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