 | War office - 1861 - 260 pages
...two straight lines shall be parallel. 8. Draw a tangent to a circle from a given point without it. 9. If a straight line be drawn parallel to one of the...sides of a triangle it shall cut the other sides or those produced proportionally. How must a line be drawn parallel to the base of a triangle, so as to... | |
 | Euclides - 1861 - 464 pages
...a trapezium to cut off a third part. 2. 257. If a st. L. be drawn || to one of the sides of а д , it shall cut the other sides, or these produced, proportionally • and conversely. СOR. If the sides of an ¿. be cut by any no. of parallels, any two pts. of the one will have the... | |
 | J. F. H. de Rheims - Geometrical drawing - 1865 - 336 pages
...segment less than a semicircle is greater than a right angle. EUCLID, BOOK VI. Prop. 2. — Theorem. If a straight line be drawn parallel to one of the...sides of a triangle, it shall cut the other sides or those produced proportionally, and if the side or the sides produced be cut proportionally, the straight... | |
 | Euclides - 1865 - 402 pages
...construction be made as in the proposition, the demonstration will be the same. PROP. H.— THEOREM. If a straight line be drawn parallel to one of the sides of a triangle, it shall out the other sides, on these produced, proportionally; and conversely, if the sides, or the sides... | |
 | James Robert Christie - Mathematics - 1866 - 428 pages
...angle in a semicircle is a right angle; but the angle in a segment greater than a semicircle is &c. 4. If a straight line be drawn parallel to one of the...produced, proportionally : and, conversely, if the sides &c. 5. If two straight lines meeting one another be 'parallel to two others that meet one another,... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...construction be made as in the proposition, the demonstration will be the same. PROPOSITION 2. THEOREM. If a straight line be drawn parallel to one of the...sides of a triangle, it shall cut the other sides, or those sides produced, proportionally; and if the sides, or the sides produced, be cut proportionally,... | |
 | Edinburgh univ - 1868 - 336 pages
...lines drawn from the angles of a triangle to the bisections of the opposite sides meet in a point. 9. If a straight line be drawn parallel to one of the sides of a triangle, it will cut the other sideSi or the other sides produced, proportionally ; and if the sides, or the sides... | |
 | Euclid - 1868 - 138 pages
...ij firi тàç TOfiàç ¿iriÇiwy/iévq ivoiia trapa TijV Xotirijv IOTUI TOV Tpiyiâvov irXivpáv. If a straight line be drawn parallel to one of the sides of a triangle, it cuts t he other two sides proportionally ; and if the two sides he cut proportionally, the straight... | |
 | Henry William Watson - Geometry - 1871 - 320 pages
...between the same parallels, therefore D is equal to E, AC therefore - is equal to =-. BL) PROPOSITION 5. If a straight line be drawn parallel to one of the sides of a triangle it shall cut the other two sides or those sides produced proportionally; and if two of the sides, or the sides produced, of... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...into which the parallelogram is then divided, must be equal, two and two. PROPOSITION II. THEOREM. If a straight line be drawn parallel to one of the sides of a triangle, it must cut the other sides, or those sides produced, proportionally. Let DE be drawn II to BC, a side... | |
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If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or these produced, proportionally : and if the sides, or the sides produced, be cut proportionally, the straight line which joins the points of section... 
