 | Miles Bland - 1819 - عدد الصفحات: 444
...way, CL=CM. Now (Eucl. ii. 12.) .-. FD* and = 2 BC1 + BA' + AC\ + zBC x BM+ [2 BCx CM 2 BC1 = (46.) If a line be drawn parallel to the base of a triangle, and terminated in the sides ; to draw a line cutting it, and terminated also by the sides, so that... | |
 | Miles Bland - 1819 - عدد الصفحات: 442
...the squares of the lines joining them will be equal to five times the square of the hypothenuse. 46'. If a line be drawn parallel to the base of a triangle, and terminated in the sides; to draw a line cutting it, and terminated also by the sides, so that the... | |
 | Adrien Marie Legendre - 1828 - عدد الصفحات: 346
...hence the squares of the sides are together equal to the squares of the diagonals. E THEOREM. 106. If a line be drawn parallel to the base of a triangle, it will divide the other sides proportionally. Let ABC be a triangle, and DE a straight line drawn... | |
 | John Martin Frederick Wright - 1833 - عدد الصفحات: 332
...minimum, and explain fully Newton's reasoning in Cor. 9- Pr. 66. ST. JOHN'S COLLEGE, JUNE 4, 1821. 1 . IF a line be drawn parallel to the base of a cycloid, find the limiting ratio of the segment of a cycloid to the corresponding segment of the generating... | |
 | Adrien Marie Legendre - 1836 - عدد الصفحات: 394
...of the sides are together equivalent to the squares of the diagonals. E C PROPOSITION XV. THEOREM. If a line be drawn parallel to the base of a triangle, it will divide, the. other sides proportionally. Let ABC be a triangle, and DE a straight line drawn... | |
 | Andrew Bell - 1837 - عدد الصفحات: 290
...harmonically. be drawn bisecting the opposite sides, they will divide each other in the ratio of two to one. 4. If a line be drawn parallel to the base of a triangle to meet the sides, and the alternate extremities of this line and of the base be joined, the line drawn... | |
 | Charles Davies - 1840 - عدد الصفحات: 264
...AC. This is called the carpenter's theorem. PART I. — SECTION VI. Properties of the Triangle. 11. If a line be drawn parallel to the base of a triangle, it will cut the two other sides proportionally. Thus, if DE be drawn parallel to the base BC, we shall... | |
 | Nathan Scholfield - 1845 - عدد الصفحات: 894
...(a+W . (a— b)3 , . ,, cal formula, v— £ |-v— „— =a5-f-6. ** ' <fc PROPOSITION XIV. THEOREM. If a line be drawn parallel to the base of a triangle, it will divide t/te sides proportionally. Let ABC be a triangle, and DE a straight line drawn parallel... | |
 | Charles Davies - 1849 - عدد الصفحات: 372
...0 ...embers together,and observing that BE and DE are equal, we shall have PROPOSITION XV. THEOREM. If a line be drawn parallel to the base of a triangle, it will diviu the other sides proportionally. Let ABC be a triangle, and DE a straight line drawn parallel... | |
 | Charles Davies - 1850 - عدد الصفحات: 218
...is equal to the number in the two small squares. Of Triangle Sides cut Proportionally. THEOREM XIII, If a line be drawn parallel to the base of a triangle^ it will divide the other two sides proportionally. Let ABC be any triangle, and DE a straight line... | |
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If a line be drawn parallel to the base of a triangle, it will divide, the. 
