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" Let A, B, C be the three given straight lines, of which any two whatever are greater than the third, viz. "
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... - Side 25
av Euclid, Robert Simson - 1829 - 516 sider
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847
...+ 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....
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...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....
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 sider
...the angle BDC greater than the angle BAC. Therefore, if from the ends of, &c. QED PROP. XXII. PROB. 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, (i. 20.)...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...the angle BDC greater than the angle BAG. Therefore, if from the ends of, &c. QED PROP. XXII. PROB. 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. * • xx...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...are greater than the third, viz. a and b greater than С ', a and С greater than b ; and b and С than a. It is required to make a triangle of which the sides shall be equal to a, b, С, each to each. Take a straight line de terminated at the point d, but unlimited towards e, and make...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...angle BDC is greater than the angle BAC. Therefore, if from the ends of, &c. QED 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 lie greater than the third, (I. 20.)...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...angle BDC greater than the angle BAC. Therefore, if from the ends of, etc. QED PROPOSITION XXII. PROB. 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 (20. i.)....
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The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., Bok 1

Euclides - 1853
...much more then is the angle BDC greater than the angle BAC. Which was to be proved. PEOP. XXII. PEOB. To make a triangle of which the sides shall be equal to three given straight lines, any two of which are together greater (i. 20) than the third. Let A, B,...
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The popular educator, Volum 4;Volum 7

Popular educator - 1852
...third, viz., A and в greater than с ; A and P greater than в ; and в and с greater than A. It ia required to make a triangle of which the sides shall be equal to А, в, and o, each to each. Fig. У1. Take a straight line D в terminated at the point D, but unlimited...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...is В D С greater than ВАС. Therefore, if from tlie ends, &e. QED PROPOSITION XXII.— PKOBLEII. To make a triangle of which the sides shall be equal to three given straight lines (A, B, C), * Pr. 20. each to each, but any two of these must be greater...
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