...above mentioned. Let лис, fig. 1, and DBF, figs. 2, 3, aud 4, be two triangles which have two Rides of the one equal to two sides of the other each to euch, viz., the side AB to the side DE, and the side AC to the side DF, but the angle ВАС greater...

...ACADEMY. EXAMINATION PAPERS, JCLT, 1854. LEOENDRE'S GEOMETRY. Introductory Class. 1. Prove that, if two triangles have two sides of the one equal to two sides of the other, each to each, and the included angles unequal, the third sides will be unequal; and the greater side will Jbelong to...

...Corollary just as I. 5 follows out of I. 4. Now the general proposition I. 4 is as follows: If two triangles have two sides of the one equal to two sides of the other, each to each, and have also the angles contained by those sides equal to one another, they also have their basis on third...

...the duty is paid, what ought unroasted coffee to cost, neglecting the expense of roasting? 9. If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise their bases equal; the angle which is contained by the two sides of the one shall be...

...in a given fine which shall beat the same perpendicular distance from two given lines. .'3. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by ihe two sides of the one greater than the angle contained by the two sides...

...line E (r cuts the straight line DF in some point between D and F. PR 0 P. XXV. THE 0 RE M. If two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other ; the angle contained by the two sides of...

...shall be less than the other two sides of the triangle, but shall contain a greater angle. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and one angle in the one equal to one angle in the other, viz., those which are opposite to equal sides,...

...shall be less than the other two sides of the triangle, but shall contain a greater angle. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and one angle in the one equal to one angle in the other, viz. those which are opposite to equal sides,...

...two right angles (BOOK i., PROP, xvn.), one is obtuse and the other acute. The triangles ABC and BCH have two sides of the one equal to two sides of the other, each to each, but one included angle, B, greater than the other, C. AC is, then, greater than B H. (BOOK n., PROP,...

..."sq. on AB," and for "the rectangle contained by the straight lines AB.CD " Is " reot. AB,CD." 1. Two triangles have two sides of the one equal to two sides of the other, but the third sides are unequal ; prove that the angles opposite the unequal sides are unequal....