Books Books Any side of a triangle is less than the sum of the other two sides... Elements of Geometry - Page 8
by Adrien Marie Legendre - 1825 - 224 pages ## Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 pages
...= E, and C = F, we may thence infer that the other three are also equal, namely, AB = DE, AC = DF, and .#=!>. THEOREM. 40. One side of a triangle is...C (3) ; BC therefore is less than BA+AC. THEOREM. Fig. 24. 41. If from a point O (fig. 24), within a triangle ABC, there be drawn straight lines OB,... ## Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 pages
...the other three are also equal, namely, AB = DE, THEOREM. 9 40. One side of a triangle is less titan the sum of the other two. Fig. 23. Demonstration....shortest way from -B to C (3) ; BC therefore is less than BA + AC. THEOREM. Fig. 24. 41. If from a point O (fig. 24), within a triangle ABC, there be drawn straight... ## Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 pages
...E, and C = F, we may thence infer that the other three are also equal, namely, AB = DE, THEOREM. f % 40. One side of a triangle is less than the sum of...two. Fig. 23. Demonstration. The straight line BC (Jig. 23), for example, is the shortest way from B to C (3) ; BC therefore is less than BA+AC. THEOREM.... ## Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 235 pages
...F, we may thence infer, that the other three are also equal, namely, AB = DE, AC zr DF, and A = D. THEOREM. 40. One side of a triangle is less than the...(3) ; BC therefore is less than BA-\-AC. THEOREM. Fig. IA. 41. If, from a point O (fig. 24), within a Mangle ABC, there be drawn straight lines OB, OC,... ## Elements of Mental Philosophy: Containing a Critical Exposition of the ...

Leicester Ambrose Sawyer - Psychology - 1846 - 432 pages
...proved, and problems, operations to be performed. The following are examples of propositions : Any one side of a triangle is less than the sum of the other two ; a diameter divides a circle and its circumference into two equal parts. The following are examples... ## Euclid's Elements, Or, Second Lessons in Geometry: In the Order of Simson's ...

Dennis M'Curdy - Geometry - 1846 - 138 pages
...each of the triangles BEF, CEF, GEF, a radius, and the side EF common, which are equal to AF : but one side of a triangle is less than the sum of the other two (a) ; therefore FG, FC, or FB is less than FA, which passes through the centre. 2. And, because EG,... ## Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 103 pages
...or arcs, are equal. 13. A straight line is the shortest distance between two points. Corollary. — One side of a triangle is less than the sum of the other two. 14. But one straight line can be drawn between two points.* EXERCISE WITH RULE AND DIVIDERS UPON THE-... ## First Lessons in Geometry: Upon the Model of Colburn's First Lessons in ...

Alpheus Crosby - Geometry - 1847 - 164 pages
...aADCswaACD? 73.1. ADC tx, BCD? .-. In*DBC, BCswBD? 73. But, as AD = AC, BD xx BA + AC ? § 78. THEOR. X. Any side of a triangle is less than the sum of the other two. [Proved by the aid of Theor. IXl COR. I. The difference between any two sides of a triangle is less... ## An Elementary Treatise on Logic: Including Pt. I. Analysis of Formulae. Pt ...

William Dexter Wilson - Logic - 1856 - 425 pages
...of truth, represented by the Conception, and not by any means or necessarily of any diagram * " Any one side of a triangle is less than the sum of the two other sides." which we may draw, or of any piece of matter which may be brought into the form of... 