 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...multiplied by their common altitude ; or ABCDE x H. That is, V = B x H. 0, ED 639 COROLLARY. Prisms are to each other as the products of their bases by their altitudes ; prisms having equivalent bases are to each other as their altitudes ; prisms having equal altitudes... | |
 | International Correspondence Schools - Building - 1906 - 634 pages
...rectangles having equal bases are to each other as their altitudes. 41. The areas of any two rectangles are to each other as the products of their bases by their altitudes. Let A and B, Fig. 27, be two rectangles whose altitudes are a and a' and whose bases are b and 6',... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...multiplied by their common altitude ; or ABODE x H. That is, V = B x H. QED 639 COROLLARY. Prisms are to each other as the products of their bases by their altitudes ; prisms having equivalent bases are to each other as their altitudes ; prisms having equal altitudes... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...triangles having equal bases are to each other as their altitudes. Proof: (?). 384. THEOREM. Any two triangles are to each other as the products of their bases by their altitudes. 385. THEOREM. The area of a right triangle is equal to half the product of the legs. 386. THEOREM.... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...equal bases are to each other as their altitudes. Proof: (?). 377. THEOREM. Any two parallelograms are to each other as the products of their bases by their altitudes. Proof: (?). 378. THEOREM. The area of a triangle is equal to half the product of its base by its altitude.... | |
 | Webster Wells - Geometry, Plane - 1908 - 208 pages
...having equal bases are to each other as their altitudes. PROP. II. THEOREM 277. Any two rectangles are to each other as the products of their bases by their altitudes. If a y a R L _j PLANE GEOMETRY — BOOK IV Draw any two rectangles M and N. We then have : Given M... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...bases. 3. Two prisms having equivalent bases are to each other as their altitudes. 4. Any two prisms are to each other as the products of their bases by their altitudes. ' Ex. 18. The volume of a right prism whose base is a regular hexagon is 600. One side of the base... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...other as their altitudes ; triangles having equal altitudes are to each other as their bases; any two triangles are to each other as the products of their bases by their altitudes. Has this been proved for rectangles ? What is the relation of a triangle to a rectangle of equal base... | |
 | Geometry, Plane - 1911 - 192 pages
...a tangent is measured by one-half the difference of the intercepted arcs. 6. Any two rectangles are to each other as the products of their bases by their altitudes. 7. The area of a circle is equal to one-half the product of its circumference and radius. 8. A regular... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...other as their altitudes ; triangles having equal altitudes are to each other as their liases ; any two triangles are to each other as the products of their bases by their altitudes. Has this been proved for rectangles ? What is the relation of a triangle to a reetangle of equal base... | |
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... two triangles are to each other as the products of their bases by their altitudes. 
