 On the boundary-surface we have the " hypothesis of the right angle." Rectangles can be formed, and the area of a rectangle is proportional to the product of its base and altitude, while the area of a triangle is half of the area of a rectangle having...  Non-Euclidean Geometry - Page 52by Henry Parker Manning - 1901 - 95 pagesFull view - About this book
 | Francis Joseph Grund - Geometry, Plane - 1830 - 274 pages
...another. 11. Every triangle is half of a parallelogram upon an equal basis and of the same height. 12. The area of a triangle is half of the area of a parallelogram upon an equal basis and of the same height; and, therefore, the area of a triangle is... | |
 | Francis Joseph Grund - Geometry, Plane - 1834 - 212 pages
...of the same height. (This is evident from looking at the figure, and from Query 12, Sect. II.) 2d. The area of a triangle is half of the area of a parallelogram upon the same basis and of the same height. Thus the area of a triangle is found by multiplying... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 113 pages
...boundary-surface. On the boundary-surface we have the " hypothesis of the right angle." Rectangles can be formed, and the area of a rectangle is proportional...equidistant-curve about one of its axes. It is the locus of points get a given perpendicular distance from a plane. Any > perpendicular to the plane may be regarded as... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 120 pages
...boundary-surface. On the boundary -surface we have the "hypothesis of the right angle." Rectangles can be formed, and the area of a rectangle is proportional...of a rectangle having the same base and altitude. An equidistant-surface is a surface generated by the revolution of an equidistant-curve about one of... | |
 | John Henry Moore, George Washington Miner - Business mathematics - 1906 - 476 pages
...triangle whose base is 8 ft. and whose altitude is 9-^ ft.? 4. The area of a triangle equals what part of the area of a rectangle having the same base and altitude? ,>3'<i. 233. In the above exercise it is clear that one half the product of the base and altitude of... | |
 | John William McClymonds, David Rhys Jones - Arithmetic - 1907 - 390 pages
...rectangle as its base „ _ and the width as its altitude. 2. The area of a right triangle is what part of the area of a rectangle having the same base and altitude? The area of a right triangle is equal to one half the product of its base and altitude. The work is... | |
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