| 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... | |
| 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... | |
| Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...equal bases are to each other as their altitudes. Proof: CO377. 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.... | |
| International Correspondence Schools - Building - 1906
...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',... | |
| Edward Rutledge Robbins - Geometry - 1907 - 412 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 - 1908 - 338 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... | |
| 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... | |
| George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...parallelograms having equal altitudes are to each other as their bases; any two parallelograms are **to each other as the products of their bases by their altitudes.** PROPOSITION V. THEOREM 325. The area of a triangle is equal to half the product of its base by its... | |
| 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 - 500 pages
...limit. OAF as AP varies in value and Case1 QED are to PROPOSITION II. THEOREM 318. Two rectangles are **to each other as the products of their bases by their altitudes.** b' b Given the rectangles R and R', having for the numerical measure of their bases b and b', and of... | |
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