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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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Relfe brothers' Euclid sheets, propositions 1-26, book 1

Euclides - 1884
...whatever are greater than the third, namely, and greater than ; and greater than ; and and greater than It is required to make a triangle of which the sides shall be equal to , , , each to each. Take a straight line terminated at the point , but unlimited towards , make equal...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...the exterior angle is greater than either of the interior opposite angles. 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. GIVEN three...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volum 1

Euclides - 1884
...of a triangle ; if this cannot be done, what will be the cause? 60. 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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The Passenger from Scotland Yard

H. Freeman Wood - 1888 - 398 sider
...is subtended by the greater side. He had been interrupted in a languid examination of the 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. If anyone...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 sider
...triangle ABC, show that OA, OB, OC are together less than AB, BC, CA together. PROPOSITION 22. PROBLEM. To make a triangle of which the sides shall be equal to three given straight lines, any two of which are together greater than the third. Let A, B, C be the...
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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 sider
...these shall be less than the other two sides of the triangle, but shall contain a greater angle. 22. To make a triangle of which the sides shall be equal to three given straight lines, any two of which are together greater than the third. 23. At a given point...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 340 sider
...The construction for this exercise depends on Proposition 23. Lesson No. 12 PROPOSITION 22. 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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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Bok 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 sider
...given straight lines, of which any two are together greater than the third. It is required to describe a triangle of which the sides shall be equal to A, B, C. Construction. Take a straight line DE terminated at the point D, but unlimited towards E. Make DF equal...
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A Text-book of Euclid's Elements for the Use of Schools, Bok 1

Euclid - 1904 - 456 sider
...third. It is required to describe a triangle of which the sides shatt be equal to A, B, C. Construction. Take a straight line DE terminated at the point D, but unlimited towards E. Make DF equal to A, FG equal to B, and GH equal to CI 3. With centre F and radius FD, describe the...
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The popular educator, Volum 4

Popular educator - 1860
...greater than the third, viz., A and в greater than о ; A and с greater than в ; and в and о greater than A. It is required to make a. triangle of which the sides shall be equal to А, в, and c, each to each. fig. Ю. Take a straight line o E terminated at the point i>, but unlimited...
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