 | 1845 - 472 pages
...conclude (for the present), Mr. Editor, by proposing the following proposition :— If tiro triangles have two sides of the one equal to two sides of the other, each to each, and also their areas er/ual, and if the angle contained by two of Ike sides be. H right angle, /he- nmjlc... | |
 | Thomas Gaskin - Geometry, Analytic - 1847 - 301 pages
...— 1 + tan — 1 - tan — 4/ V 4/ V 4/ ST JOHN'S COLLEGE. DEC. 1840. (No. XI.) 1. IF two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by two sides of one of them greater than the angle contained by the two sides... | |
 | Euclides - 1847 - 128 pages
...always be < , and, in the second, always > the / DEF. PROP. XXV. THEOR. GEN. ENUN. — If two triangles have two sides of the one equal to two sides of the other, each to each, but the hase of the one greater than the base of the other, the angle contained by the sides of that... | |
 | Charles William Hackley - Geometry - 1847 - 248 pages
...and ACB = 2ADC .-. ABC and ACB are equal the given angles. QED ~ "~ THEOREM XXXII. If two triangles have two sides of the one equal to two sides of the other, but the included angles unequal, the third sides will be unequal, and the greater will be in... | |
 | Euclides - 1848 - 52 pages
...the greater angle, shall be greater than the base of the other. PROP. XXV. THEOREM. 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 sides of that... | |
 | J. Goodall, W. Hammond - 1848 - 390 pages
...AND MENSURATION. (One question only to be answered in each section.) Section 1. 2. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of the one greater than the angle contained by the two sides... | |
 | Great Britain. Committee on Education - 1848 - 606 pages
...lines which are parallel to the same straight liue are parallel to one another. 2. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of the one greater than the angle contained by the two sides... | |
 | George Clinton Whitlock - Mathematics - 1848 - 338 pages
...distance from one point to another, shortest distance from a point to a line, &c 75 7. Triangles having two sides of the one equal to two sides of the other, each to each, but the included angles unequal 76 8. Consequences — triangles having their sides severally equal,... | |
 | Great Britain. Council on Education - Education - 1848 - 596 pages
...parallel to the same straight line are parallel to one another. 2. If two triangles have two sides qf the one equal to two sides of the other, each to each, but the angle contained by the two sides of the one greater than the angle contained by the two sides... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...BO+ OC< BD +DC; therefore, still more isBO + OC<BA + AC. PROPOSITION IX. THEOREM. If two triangles have two sides of the one equal to two sides of the...Let BAC and EDF be two triangles, having the side AB = DE, AC —DF, and the angle A>D; then will BC> EF triangle GAC is equal to DEF, since, by construction,... | |
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If two triangles have two sides of the one equal to two sides of the... 
