| 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... | |
| Henry Sinclair Hall - 1908 - 286 pages
...sum of the squares on the sides containing that angle diminished by twice the rectangle contained by **one of those sides and the projection of the other side upon it.** 227 THEOREM 56. In any triangle the sum of the squares on two sides is equal to twice the square on... | |
| Fletcher Durell - Geometry, Plane - 1909 - 360 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** time sides by the projection of the other side upon it. KB. 2 Given acute ZC in A ABC, and DC the projection... | |
| Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...incommensurable. 9. The square of the side opposite an acute angle, in any triangle, 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 upon that side. 10. In any obtuse-angled triangle the square... | |
| William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 286 pages
...XXXVII. THEOREM. 398. In any 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 upon that side. Given the A ABC, £ A being acute and CD J. AB. To prove... | |
| George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...triangle the square on the side opposite an acute angle is equivalent to the sum of the squares on **the other two sides diminished by twice the product of one of those sides** by the projection of the other upon that side. c a' DB FIG. 1 FIG. 2 Given the triangle ABC, A being... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry, Modern - 1911 - 266 pages
...side opposite an acute angle is equal to the sum of the squares of the other two sides diminished % **twice the product of one of those sides and the projection of the other side upon it.** Hyp. In A abc, p is the projection of b upon c, and the angle opposite a is an acute angle. To prove... | |
| David Eugene Smith - Geometry - 1911 - 358 pages
...squares. 1 THEOREM. 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. THEOREM. A similar statement for the obtuse triangle.... | |
| Joseph Victor Collins - Algebra - 1911 - 330 pages
...opposite an acute aiujle in a triangle is equal to the sum of the squares of the other two sides dimmished **by twice the product of one of those sides and the projection of the other** on that side. To prove a3 = 62 + я3 — 2 cm. PROOF. а2=1? + 1Ш' (§61.) = P2+ (cm)2 =p2 + C2 _... | |
| Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...as follows: 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. Ex. 726. If the sides of a triangle are 7,... | |
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