| Timothy Walker - Geometry - 1829 - 138 pages
...Therefore ABC D=ABEF, and the area of ABCD==AB xB E, this being the measure of ABEF (100). 102. — The area of any triangle is equal to half the product of its base by its altitude — . By the altitude of a triangle we mean a perpendicular let fall from one of the... | |
| Siméon-Denis Poisson - Mechanics - 1842 - 770 pages
...sides CM and CN of the triangle MNC, so that we may have BC — a, AC = b, AB = c, CM — x, CN =. y. The area of any triangle is equal to half the product of two of its sides and of the sine of the included angle ; hence we shall have ABC = $ ab sine, MNC =... | |
| Isaac Todhunter - Mechanics - 1867 - 372 pages
...which negative ; but when we have made a choice we must keep to it during that investigation. 74. Since the area of any triangle is equal to half the product of the base into the altitude, the moment of a force may bo geometrically represented by twice the area... | |
| Isaac Todhunter - Mechanics - 1867 - 368 pages
...which negative; but when we have made a choice we must keep to it during that investigation. 74. Since the area of any triangle is equal to half the product of the base into the altitude, the moment of a force may be geometrically represented by twice the area... | |
| Literary and Historical Society of Quebec - Québec (Province) - 1871 - 962 pages
...rectangle is equal to the product of the number of units in its base and altitude, it follows that the area of any triangle is equal to half the product of its length and breadth. This, then, may be adopted as an element into which all plane figures can be divided,... | |
| Literary and Historical Society of Quebec - Canada - 1871 - 524 pages
...rectangle is equal to the product of the number of units in its base and altitude, it follows that the area of any triangle is equal to half the product of its length and breadth. This, then, may be adopted as an element into which all plane figures can be divided,... | |
| Charles P. Florent Baillairgé - Geometry - 1873 - 660 pages
...rectangle is equal to the product of the number of units in its base and altitude, it follows that the area of any triangle is equal to half the product of its length and breadth. This, then, may be adopted as an element into which all plane figures can be divided,... | |
| George Wightwick - 1875 - 394 pages
...opposite moments about a given point are equal. Another interesting property may be noticed : since the area of any triangle is equal to half the product of the base into the altitude, the moment of a force may be geometrically represented by twice the area... | |
| Joseph Ray - Arithmetic - 1880 - 420 pages
...areas are to each other as their altitudes; the altitudes being equal, their areas are as their bases. The area of any triangle is equal to half the product of the perimeter by the radius of the inscribed circle. GENERAL RULES. 1. To find the area of a parallelogram.... | |
| 1882 - 480 pages
...(a+/3) = sin1 a+sin1 ft— 2 sin a sin ft sin (a+/3) •.• -{cos(a-/3)-cos(ft+/3)}=-2Bina8in/3. QED 4. The area of any triangle is equal to half the product of two of its sides into the natural sine «f their contained ingle. Area of ABC=a~ sin C a _c ^- 13'... | |
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