| Education - 1903 - 630 pages
...equiangular. 6. Prove : In any triangle the square of the side opposite an acute angle is equal to the sum of **the squares of the other two sides diminished by twice the product of one of** these sides and the projection of the other side upon it. 7. Prove : The area of a regular polygon... | |
| Alan Sanders - Geometry - 1903 - 392 pages
...THEOREM 659. In any triangle the square of a side opposite an acute angle is equivalent to the sum of **the squares of the other two sides, diminished by twice the product of one of** these sides and the projection of the oiher side upon it. b B Let ABC be a A in which BC lies opposite... | |
| Education - 1903 - 552 pages
...of the opposite angles. (b) Prove that the square of any side of a triangle is equal to the sum of **the squares of the other two sides, diminished by twice the product of** the two sides multiplied by the cosine of their included angle. 10 credits eaeh. 4. The angle of elevation... | |
| George Albert Wentworth - Geometry - 1904 - 496 pages
...THEOREM. 375. In any triangle, the square of the side opposite an acute angle is equal to the sum of **the squares of the other two sides diminished by twice the product of one of those sides** by the projection of the other upon that side. D Fio. 1. Fio. 2. Let C be an acute angle of the triangle... | |
| Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...THEOREM 349. In any oblique triangle, the square of a side opposite an acute angle is equal to the sum of **the squares of the other two sides, diminished by twice the product of one of those sides** by the projection of the other side upon it. Given acute ZC in A ABC, and DC the projection of the... | |
| Fletcher Durell - Geometry - 1911 - 553 pages
...349. In any oblique triangle, tlie square of a side opposite an acute angle is equal to the sum of **the squares of the other two sides, diminished by twice the product of one of those sides** by the projection of the other side upon it. ADO Fig. 1 Given acute ZC in A ABC, and DC the projection... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...the sum of the squares on the sides containing the obtuse angle by twice the rectangle contained by **one of those sides, and the projection of the other side upon it.** The Enunciation of Prop. 12 thus stated should be carefully compared with that of Prop. 13. EUCLID-S... | |
| Isaac Newton Failor - Geometry - 1906 - 440 pages
...THEOREM 373 In any triangle, the square of the side opposite an acute angle is equal to the sum of **the squares of the other two sides, diminished by...sides and the projection of the other side upon it.** Fig. 1 Fig. 2 HYPOTHESIS. In the A ABC, the / B is acute, and BD is the projection of AB upon BC. Let... | |
| Isaac Newton Failor - Geometry - 1906 - 431 pages
...THEOREM 373 In any triangle, the square of the side opposite an acute angle is equal to the sum of **the squares of the other two sides, diminished by...sides and the projection of the other side upon it.** Fig. 1 Fig. 2 HYPOTHESIS. In the A ABC, the £ B is acute, and BD is the projection of AB upon BC.... | |
| David Sands Wright - Geometry - 1906 - 104 pages
...described on the side of a triangle opposite an acute angle is equal to the sum of the squares described on **the other two sides diminished by twice the product of one of those sides** by the projection of the other side upon it. Problem. To find the area of a triangle, when the three... | |
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