 | Mathematics - 1801 - 520 pages
...and the line bifefling the hafe, the propofer probably meant the reftangle under the fum of the fides and the line drawn from the vertex to the middle of the bafe ; this being fuppofed, the Analyjii may be as follows. Suppofe ABC (Fig. 348, PI. 2j.) the & required,... | |
 | Jacques Ozanam - Mathematics - 1803 - 548 pages
...opposite sides ; to determine the triangle. PROB. xxxu. The base of a triangle, the sum of the two other sides, and the line drawn from the vertex to the middle of the base, being given; to determine the triangle. PKOB. xxxv. Given the three lines drawn from the angles of... | |
 | Charles Hutton - Mathematics - 1811 - 406 pages
...Half Base, is Equal to the Sum of the Squares of the other Two Sides. Let ABC be a triangle, and CD the line drawn from the vertex to the middle of the base AB, bisecting it into the two equal parts AD, DB ; then will the sum of the squares of AC, CB, be equal... | |
 | Charles Hutton - Mathematics - 1812 - 620 pages
...from the Vertical Angle ; to determine the Sides of the Triangle. PROBLEM X. IN a Triangle, having given the Base, the Sum of the other two Sides, and the Length of a Line drawn from the Vertical Angle to the Miildjc of the Base ; to find the Sides «f the... | |
 | Sir John Leslie - Geometry, Modern - 1820 - 488 pages
...this proposition it might be easily shown that the two sides of a triangle are greater than double the line drawn from the vertex to the middle of the base. For, suppose E to be that middle point, and BE being produced till EF be equal to it, and let AF be... | |
 | Charles Hutton - Mathematics - 1822 - 616 pages
...from the Vertical Angle ; to determine the Sides of the Triangle. PROBLEM X. IN a Triangle, having given the Base, the Sum of the other two Sides, and the Length of a Line drawn from the Vertical Angle to the Middle of the Base ; to find the Sides of the... | |
 | William Grier - Mechanical engineering - 1832 - 366 pages
...of AB, AD. That is, BC" = AB' + AC" — 2AD . AB. — (Fig. 31.) 37. Let ABC be a triangle, and CD the line drawn from the vertex to the middle of the base AB, bisecting it into the two equal parts AD, DB ; then will the sum of the squares of AC, CB, be equal... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...perpendicular from the vertical angle ; to determine the triangle. PROBLEM X. In a triangle, having given the base, the sum of the other two sides, and the length of a line drawn from the vertical angle to the middle of the base ; to find the sides of the... | |
 | Jacques Ozanam - 1840 - 850 pages
...one without and the other within ? PROR, xxxn — The hase of a triangle, the sum of the two other sides, and the line drawn from the vertex to the middle of the hase, being given ; to determine the triangle. PROR, xxxin.— Given the three lines, drawn from the... | |
 | John D. Williams - Algebra - 1840 - 634 pages
...!• which were to be determined. A jn „nfcf And у = — v( »г т — 10. In a triangle, having given the base, the sum of the other two sides, and the length of a line drawn from the vertical angle to the middle of the base ; to find the sides of the... | |
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In a triangle, having given the base, the sum of the other two sides, and the length of a line drawn from the vertical angle to the middle of the base, to find the sides of the triangle. 
