 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 and the projection of the other upon that side.  Plane Geometry - Page 152by Arthur Schultze - 1901Full view - About this book
 | 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... | |
 | 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... | |
 | Lawrence Robert Dicksee - Accounting - 1907 - 128 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. Q. 8. — Prove that the opposite angles of any quadrilateral inscribed in a circle are together equal... | |
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