 | Moffatt and Paige - 1879 - 378 pages
...property may be proved by a method similar to that employed in the 4th proposition of the first book. 2. The greater angle of every triangle is subtended by...greater side, or has the greater side opposite to it. Write out the converse of this proposition, and show that one of the two propositions is proved directly,... | |
 | Joseph Wollman - 1879 - 120 pages
...from points P, Q, on opposite sides of AB ; AB is bisected in O. Show that POQ is a straight line. 2. The greater angle of every triangle is subtended by the greater side. BAG is a right-angled triangle, right angled at A; CD is drawn to any point D of the side AB. Show... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...ABD>ACB; therefore still more ABC>ACB. Proposition 21. Thewem.—The greater angle of every triangle has the greater side opposite to it. Let ABC be a triangle in -which the angle ABC is greater than the angle A CB; then will AC be greater than AB. For, if not,... | |
 | Noah Knowles Davis - Logic - 1880 - 344 pages
...been proposed before now ; but no such theory has ever been proposed ; hence, none can be framed. 50. The greater angle of every triangle is subtended by...be a triangle, of which the angle B is greater than the angle C ; then the side AC is likewise greater than the side A B. For if AC be not greater than... | |
 | Noah Knowles Davis - Logic - 1880 - 344 pages
...theory could be framed to explain the estab50. The greater angle of every triangle is subtended by thc greater side, or has the greater side opposite to...be a triangle, of which the angle B is greater than the angle C ; then the side AC is likewise greater than the side A B. For if AC be not greater than... | |
 | 1880 - 160 pages
...line perpendicular to a given straight line of unlimited length, from a given point without it. 2. The greater angle of every triangle is subtended by the greater side. 3. To make a triangle of which the sides shall be equal to three given straight lines, but any two... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...circumference at B. Then, because FGCis a right angle, [Hypothesis. FCG is an acute angle; [I. 17. and the greater angle of every triangle is subtended by the greater side; [I. 19. therefore FC is greater than FG. But FC is equal to FB ; [I. Dtfnition 15. therefore FB is... | |
 | T S. Taylor - 1880 - 152 pages
...(Euclid I. 19). Repeat. — The enunciation of Euc. I. 5, and of Euc. I. 1 8. General Enunciation. The greater angle of every triangle is subtended by the greater side. NOTE i. — An angle is said to be subtended by a side, when that side is opposite to it. NOTE 2. —... | |
 | Moffatt and Paige - 1881 - 176 pages
...draw a straight line at a given angle to a given straight line, from a given point in the same. 2. The greater angle of every triangle is subtended by...greater side, or has the greater side opposite to it. 3. If D, E, F are points taken in the sides BC, CA, AB of an equilateral triangle ABC, so that BD =... | |
 | Education, Higher - 1881 - 504 pages
...triangles have their three sides equal they are equal in every respect. 3. The greater angle of any triangle is subtended by the greater side or has the greater side opposite to it. 4. Equal triangles upon equal bases in the same straight line, and towards the same parts are between... | |
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The greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it. 
