 | Euclides - 1847 - 128 pages
...is > AC — BC, and AC > BC — AB. Wherefore any side Sec.— QED PROP. XX. THEOR. GEN. ENUN. — Any two sides of a triangle are together greater than the third side. PART. ENUN. — Let ABC be any A. Then the sum of any two of its sides is > the third side, viz., BA... | |
 | Great Britain. Committee on Education - School buildings - 1847 - 606 pages
...equal to two right angles, these two straight lines shall be in one and the same straight line. 2. Any two sides of a triangle are together greater than the third side. SECTION II. 1. To divide a straight line into two such parts that the rectangle of the whole and one... | |
 | Euclides - 1848 - 52 pages
...triangle is subtended by the greater side, or has the greater side opposite to it. PROP. XX. THEOREM. Any two sides of a triangle are together greater than the third side. PROP. XXI. THEOREM. If from the ends of a side of a triangle, there be drawn two straight lines to... | |
 | Bengal (India) - 1848 - 520 pages
...+P xa~l+P xn-z+ ........ +J» = 0 J * n and in the quadratic equation »* — px + </=0 Geometry. 6. Any two sides of a triangle are together greater than the third side. 7. In a circle, the angle in a semicircle is a right angle, but the angle in a segment greater than... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...is not equal to AB; therefore AC is greater than AB. Wherefore the angle, &c. QED PROP. XX. THEOR. Any two sides of a triangle are together greater than the third side, Let ABC be a triangle; any two sides of it together are greater than the third side, viz. the sides BA, AC greater than the... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...difference. Let two circumferences cut each other in the point A. Draw the radii CA, DA ; then, because any two sides of a triangle are together greater than the third side (Prop. VIII., B. I.), CD must be less than the sum of AD and AC. Also, DA must be less than the sum... | |
 | Electronic journals - 1884 - 668 pages
...appellation to Euclid, i. 5, is a modern error, and that the original asses' bridge was the proposition, " Any two sides of a triangle are together greater than the third side," the demonstration being that an ass at A will walk along the third side AB to his provender at в,... | |
 | Great Britain. Committee on Education - 1850 - 942 pages
...angles of a triangle be unequal, the greater angle has the greater side opposite. 8. Prove Euc. 1. '20. Any two sides of a triangle are together greater than the third side. 9. Prove Euc. I. 48. If the square described upon one side of a triangle be equal to the squares described... | |
 | Electronic journals - 1884 - 672 pages
...appellation to Euclid, i. 6, is a modern error, and that the original asses' bridge was the proposition, " Any two sides of a triangle are together greater than the third side," the demonstration being that an ass at A will walk along the third side AB to his provender at в,... | |
 | Her MAjesty' Inspectors of schools - 1850 - 912 pages
...sides of a triangle be unequal, the greater side has the greater angle opposite. 8. Prove Euc. 1. '.iO. Any two sides of a triangle are together greater than the third tide. 9. Prove Kuc. I. 48. If the square described upon one side of a triangle be equal to the squares... | |
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Any two sides of a triangle are together greater than the third side. 
