... any two parallelograms are to each other as the products of their bases by their altitudes. PROPOSITION V. THEOREM. 403. The area of a triangle is equal to half the product of its base by its altitude. Plane and Solid Geometry - Page 155by Claude Irwin Palmer, Daniel Pomeroy Taylor - 1918 - 436 pagesFull view - About this book
| Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...THEOREM. Two parallelograms having 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... | |
| Webster Wells - Geometry, Plane - 1908 - 206 pages
...other as their bases. 3. Two parallelograms having equal bases are to each other as their altitudes. 4. **Any two parallelograms are to each other as the products of their bases** by their altitudes. Ex. 4. The area of a parallelogram is 288, the base is twice the altitude. Find... | |
| Webster Wells - Geometry - 1908 - 336 pages
...other as their bases. 3. Two parallelograms having equal bases are to each other as their altitudes. 4. **Any two parallelograms are to each other as the products of their bases** by their altitudes. Ex. 4. The area of a parallelogram is 288, the base is twice the altitude. Find... | |
| George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...each other as their altitudes; 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... | |
| Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...Cor. I. The area of a square is equal to the square of its side. 479. Cor. n. Any two rectangles are **to each other as the products of their bases and their altitudes.** OUTLINE or PROOF. Denote. the two rectangles by R and B-, their bases by b and b', and their altitudes... | |
| Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 230 pages
...base and its altitude. 482. Parallelograms having equal bases and equal altitudes are equivalent. 483. **Any two parallelograms are to each other as the products of their bases and their altitudes.** 484. (a) Two parallelograms having equal bases are to each other as their altitudes, and (4) two parallelograms... | |
| William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...ABEF. area rectangle ABEF = bh. .'. area O ABCD = bh. That is, 5. But Ax. 2 Why ? 329. COROLLARY 1. **Two parallelograms are to each other as the products of their bases and** altitudes. 330. COROLLARY 2. Two parallelograms having equal bases are to each other as their altitudes.... | |
| William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...HABCD = rectangle ABEF. 5. But area rectangle ABEF = bh. Why ? .'. area n ABCD = bh. 29. COROLLARY 1. **Two parallelograms are to each other as the products of their bases and** altitudes. 330. COROLLARY 2. Two parallelograms having equal bases are to each other as their altitudes.... | |
| Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...Prisms having equivalent bases and equal altitudes are equivalent. 801. Cor. H. Any two prisms are **to each other as the products of their bases and their altitudes.** 802. Cor. m. (a) Two prisms having equivalent bases are to each other as their altitudes; (b) two prisms... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...QED 351. COR. 1. Parallelograms having equal bases and equal altitudes are equivalent. 352. COR. 2. **A.ny two parallelograms are to each other as the products of their bases and** altitudes. 353. COR. 3. Parallelograms having equal bases are to each other as their altitudes. / 354.... | |
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