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" 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. "
The first three books of Euclid's Elements of geometry, with theorems and ... - Side 19
av Euclid, Thomas Tate - 1849 - 108 sider
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 sider
...angle CEB of the triangle ABE is greater Hum BAC : and it has been demonstrated that the angle BDC is greater than the angle CEB; much more then is the...greater than the angle BAC. Therefore, if from the ends, <fec. a. ED greater than BC, /tarn each ofthege take AC," an operation which is imputtilte when AC...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 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 I), but unlimited towards E,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 sider
...angle CEB of the triangle ABE is greater than BAC ; and it has been demonstrated that the angle BDC is greater than the angle CEB ; much more then is the angle BDC greater than the ankle BAC. PROP. XXII. PROB. To construct a triangle of which the sides shall be equal to three given...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 sider
...third, viz. A and в greater than c ; A and c greater than в ; and в 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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 sider
...and it has been demonstrated, that the angle BDC is greater than the angle CEB ; much more therefore is the angle BDC greater than the angle BAC. Therefore, if from the ends of die side, &c. QED PROPOSITION XXII. PROBLEM. To make a triangle of which the sides shall be equal to...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 216 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 Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclides, James Thomson - 1845 - 382 sider
...A, B, C be three riven straight lines, of which any two are greater than the third : it is required to make a triangle of which the sides shall be equal to A, B, C, each to each. Take an unlimited straight line DE, and let F be a pint in it, and make (I....
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 sider
...angle CEB of the triangle ABE is greater than the angle BAE: But it has been shewn that the angle BDC is greater than the angle CEB ; much more then is the angle BDC greater than the angle BAC. Wherefore, If from the ends %e. QED PROP. XXII. PHOB. To make a triangle, of which the sides shall...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 130 sider
...BAC, much more then is L BDC > /_ BAC. Therefore, if from the ends of, &c. PROP. XXI. PROB. 22. lEu. To make a triangle of which the sides shall be equal to three given straight lines, tut any two whatever of these must be greater than the third. (19 Prop.) Let A, B, C, be the 3 given...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 332 sider
...angle CEB of the triangle ABE is greater than BAC ; and it has been demonstrated that the angle BDC is greater than the angle CEB ; much more then is the angle BDC greater than the anele BAC. PROP. XXII. PROB. To construct a triangle of which the sides shall be equal to three given...
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