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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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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 sider
...which the sides shall be equal to three given straight lines ; but any two whatever of these lines must be greater than the third (20. 1.). Let A, B,...equal to A, FG to B, and GH equal to C ; and from th^centre F, at the distance FD, describe (3. Post.) the circle DKL , and from the centre G, at the...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...shall be less than the sum of the three sides, but greater than half that sum. PROP. XXII. PROBLEM. To make a triangle of which the sides shall be equal to three given- straight lines, but any two whatever of them must be greater than the third (I. 20). Let...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...will be the perpendicular. The protractor is used in a similar vj,-v^_ way. ...-"'•'• K PROB. 8. To make a triangle of which the sides shall be equal to three given straight lines, A, B, and C, but of which any two whatever must be greater than the third....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...greater than the angle BA C. Therefore, if from the ends of tie side, &c. QED PROPOSITION 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. Let A, B,...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...more (Ax. 16), then, is the angle BDC greater than the angle BAC. \"'. ' . PROPOSITION XXII. PROBLEM. 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 (I....
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...third; namely, A and B greater than C; A and C greater than B; and B and C greater than A. Sought. — It is required to. make a triangle of which the sides shall be equal to A, B, and C, each to each. Construction. — 1. Take a straight line DE terminated at the point D, but unlimited...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...angle BDC greater than the angle BAC. Therefore, if from the ends, &c. QED PROP, XXII.— PROBLEM. To make a triangle of which the sides shall be equal to three given straight lines, but of which any two whatever must be greater than the third. (References—...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863
...greater than the third (I. 20). equal to thrve given straight lines (A, B, and C), of which ang two are Take a straight line DE terminated at the point D, but unlimited towards E. Make (I.3) DF equal to A, FG equal to B, and GH equal to C. From the centre F, at the distance FD,...
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863
...little tapering, because the; will, from the distance, of themselves seem less. PROP. 22. — PROB. To make a triangle, of which the sides shall be equal to three given st. lines, but any two whatever of these must be greater than the third. SOL.— P. 20,...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...than the third, (l. 20.) namely, A and B greater than C; A and C greater than B ; and B and C greater than A. It is required to make a triangle of which...terminated at the point D, but unlimited towards E, make DF equal to A, FG equal to B, and GH equal to C; (l. 3.) from the center F, at the distance FD,...
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