| Queen's University (Kingston, Ont.) - 1906 - 314 sider
...inscribe a regular pentagon in a given circle. The squares on two sides of a triangle are together **equal to twice the square on half the third side and twice the square on the median to** that side. If ABC be a triangle, and A be joined to a point P of the base such that BP : PC = m : n,... | |
| Euclid - 1908 - 550 sider
...from II. g, zo. I. Pappus (vn. pp. 856 — 8) uses n. 9, 10 for proving the well-know theorem that **The sum of the squares on two sides of a triangle is equal to twice the** squat on half the base together with twice the square on the straight line joining //! middle point... | |
| Queensland. Department of Public Instruction - 1908 - 134 sider
...problem of drawing a line through a given point parallel to a given straight line. 4. Prove that if **the sum of the squares on two sides of a triangle is equal to** the square on the third side, these two sides contain a right angle, and with the aid of Euclid I.,... | |
| Royal Military Academy, Woolwich - 1909 - 456 sider
...the alternate angles are equal. Also state and prove the converse proposition. 2. (a) Prove that, if **the sum of the squares on two sides of a triangle is equal to** the square on the third side, one of the angles is a right angle. (b) Show that the sum of the squares... | |
| Eugene Randolph Smith - 1909 - 424 sider
...the projection of the other side on its line ; or, in a right triangle, to difference of squares. VI. **THE SUM OF THE SQUARES ON Two SIDES OF A TRIANGLE. Is** equivalent to twice the sum of the squares on one half the third side and on the median to that side... | |
| George Albert Wentworth, David Eugene Smith - 1910 - 287 sider
...vertex to the base, increased by the product of the segments of the base. PROPOSITION XIII. THEOREM 343. **The sum of the squares on two sides of a triangle is** equivalent to twice the square on half the third side, increased by twice the square on the median... | |
| McGill University - 1911 - 178 sider
...equal to the rectangle contained by its diagonals. The squares on two sides of a triangle are together **equal to twice the square on half the third side and twice the square on the median to** that side. If from the vertical angle of a triangle a straight line be drawn perpendicular to the base... | |
| Great Britain. Board of Education - 1912 - 1044 sider
...be parallel, and also prove that their point of intersection lies on the same side of BC as A, 4. If **the sum of the squares on two sides of a triangle is equal to** the square on the third side, prove that the triangle is right angled. Prove that a triangle the lengths... | |
| Great Britain. Board of Education - 1912 - 632 sider
...be parallel, and also prove that their point of intersection lies on the same side of BC as A. 4. If **the sum of the squares on two sides of a triangle is equal to** the square on the third side, prove that the triangle is right angled. Prove that a triangle the lengths... | |
| Ontario. Dept. of Education - 1913 - 128 sider
...inscribe a regular pentagon in a given circle. The squares on two sides of a triangle are together **equal to twice the square on half the third side and twice the square on the median to** that side. If ABC be a triangle, and A be joined to a point P of the base such that BP : PC = m : n,... | |
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