 First, that the maximum of polygons formed of given sides may be inscribed in a circle ; secondly, that the maximum of isoperimetrical polygons having a given number of sides has its sides equal ; and thirdly, that such a regular polygon is of smaller...  The Mathematical Monthly - Page 3211860Full view - About this book
 | Edward Augustus Kendall - 1811 - 458 pages
...equal,4,000feet, the value of which, if tiie stone lie reckoned at Is. ;'.d. per foot, is 250/. Again the Area of a triangle is found by multiplying- the base by the perpendicular height, and dividing the product by 2, thus if the triangular hip of a house be 20... | |
 | Thomas Tate (mathematical master.) - 1847 - 138 pages
...having the base and perpendicular in the ratio of 6 to 5. Ans. 24 ft. Here it will be observed, that the area of a triangle is found by multiplying the base by the perpendicular, and taking half the product. 3. A plank 20 ft. long contains 30 sq. ft., what is... | |
 | John Daniel Runkle - Mathematics - 1860 - 460 pages
...isoperimetrical circle, it is evident that the area of the polygon is smaller than that of the isoperimetrical circle. It will now remain to show that the area of...nearly perpendicular to the third line. — Proof. Let C be the given point, and AD the third straight line. Let CA and CB be two lines, of which CB is the... | |
 | Thomas Hill - Geometry - 1862 - 148 pages
...can surely have no difficulty in proving these two points, and then our proof will be complete. 133. Let us return, then, to the synthetic mode, and establish...propositions into which we have already analyzed it. (Arts. 64-113.) 136. Theorem. Of two unequal lines, from a point to a third straight line, the shorter is... | |
 | Thomas Hill - Geometry - 1863 - 136 pages
...that such a regular polygon is of smaller area than a circle isoperimetrical with it. 134. TJieorem. The area of a triangle is found by multiplying the...propositions into which we have already analyzed it. (Arts. 64-113.) 136. Theorem. Of two unequal lines, from a point to a third straight line, the shorter is... | |
 | Business - 1902 - 272 pages
...diameter by 3.1416. The solidity of a cylinder is found by multiplying the area of one end by its length. The area of a triangle is found by multiplying the base by one-half the altitude. The area of a rectangle is found by multiplying the length by the breadth. The... | |
 | Education - 1908 - 656 pages
...4±3 and later II b±a ab ah ' The various laws of mensuration are stated in the same concise way. The area of a triangle is found by multiplying the base by l/2 the altitude, is stated : altitude Area of triangle =baseX ' and later ba Area of triangle = —... | |
 | Maria Montessori - Montessori method of education - 1917 - 526 pages
...triangles having the same base and altitude are equal This is easily understood from the fact that the area of a triangle is found by multiplying the base by half the altitude ; therefore triangles having the same base and the same altitude must be equal. The decagon and the... | |
 | Joseph Antonius Nyberg - 1924 - 378 pages
...for the number of units in the height of the triangle, and A, for the number of units in the area. The area of a triangle is found by multiplying the base by the height and dividing the result by 2. Using only the letters A, b, and h and the sign =, write the... | |
 | Graham Newman, Ron Bull - Juvenile Nonfiction - 1996 - 150 pages
...to bring the total for the three days to 56 pages. How many pages did she read on the first day? 10 The area of a triangle is found by multiplying the base by the height and then dividing by two. If the area is 1 2 cm2, and the base is 6 cm, what is the height?... | |
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