 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, minus twice the product of one of these sides and the projection of the other side upon it.  Robbin's New Plane Geometry - Page 173by Edward Rutledge Robbins - 1915 - 264 pagesFull view - About this book
 | Education - 1903 - 630 pages
...triangle. Explain, 5. Prove: Two triangles are similar when they are mutually 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... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...the projection of CD upon AB. 162 NUMERICAL PROPERTIES OF FIGURES. PROPOSITION XXIX. 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... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...incommensurable. NUMERICAL PROPERTIES PROPOSITION XXIX. THEOREM 349. In any oblique triangle, tJie 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... | |
 | James Morford Taylor - History - 1904 - 192 pages
...about the triangle ABC. Law of cosines. In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides into the cosine of their included angle. In figures 35 regard AD, DB, and AB as directed... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...incommensurable. NUMERICAL I'ROI'EKTIES PROPOSITION XXIX. THEOREM 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... | |
 | Yale University. Sheffield Scientific School - 1905 - 1074 pages
...proportional between two given lines ; a third proportional to two given lines. Prove your constructions. 2. 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, minus twice the product of one of these sides and the projection of... | |
 | James Morford Taylor - Trigonometry - 1905 - 256 pages
...about the triangle ABC. Law of cosines. In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides into the cosine of their included angle. In figures 35 regard AD, DB, and A В as directed... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...2 bp (?) (343). But h2 + p*=a2 (?) (343). .-. c2=a2 + 62 + 25p (Ax 6). PLANE GEOMETRY 346. 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 minus twice the product of one of these two sides and the projection... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...hypotenuse and the adjacent segment (§ 365). PLANE GEOMETRY — BOOK III PROPOSITION XXVIII. 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 twice the product of one of those sides and the projection... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...hypotenuse and the adjacent segment (§ 365). PLANE GEOMETRY — BOOK III PROPOSITION XXVIII. 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 twice the product of one of those sides and the projection... | |
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