 | 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... | |
 | 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...greater side, or has the greater side opposite to it. Let ABC be a triangle, of which the angle B is greater than the angle C ; then the side AC is likewise... | |
 | 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... | |
 | 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. —... | |
 | 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... | |
 | 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... | |
 | John Gibson - 1881 - 302 pages
...each, namely, those to which the equal sides are opposite. 2. The greater angle EFD of the triangle DEF is subtended by the greater side, or has the greater side opposite to it. 3. All the interior angles of any rectilineal figure, together with four right angles, are equal to... | |
 | Education Ministry of - 1882 - 292 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 showthat one of the two propositions is proved directly... | |
 | Marianne Nops - 1882 - 278 pages
...greater than Z. ACB (ax. 9). Wherefore the greater side, &c. — QED PROPOSITION XIX., THEOREM 12. TJie greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to it. In A ABC let Z.ABC be greater than Z.ACB: The side AC shall be greater than the side AB. For if not,... | |
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The greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it. 
