| Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...equal to one another. 3. Prove that if the square described on one of the sides of a triangle is equal to the sum of the squares described on the other two sides of it, the angle contained by these two sides is a right angle. 4. Prove that if a straight line be... | |
| 1901 - 924 pages
...rvlit angle. The well-known property of the fcypothetmne, that the square described on it is •qua! to the sum of the squares described on the other two sides, is proved in the 47th proposition of the in -i book of Euclid's Elements. Hyracotherilim, a genus of... | |
| 1901 - 530 pages
...first book, discovered by Pythagoras, which proves that the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. Hypoth'ec, in Scots law, a claim or right which a creditor has over the effects of a debtor while they... | |
| Harrie Irving Hancock - 1902 - 340 pages
...not in the same straight line, one circumference may always be made to pass, and but one. Prove that, the square described on the hypothenuse of a right-angled...sum of the squares described on the other two sides. Given the side of an equilateral triangle equal to 10 feet; find its area. Define "limit of a variable."... | |
| Education - 1902 - 678 pages
...equal to a given irregular pentagon. (4) If the square described on one side of a triangle is equal to the sum of the squares described on the other two sides, then the angle contained by these two sides is a right angle. (5) If a straight line is bisected and... | |
| M. Fennell - Teaching - 1902 - 292 pages
...Preparation. i. Enunciation. In a right-angled triangle the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. i (a) Right angle. (It) Triangle. 2. Definitions to / ; ' D- ,. , , , • , J \ (c) Right-angled triangle,... | |
| M. Fennell - Teaching - 1902 - 294 pages
...Preparation. i. Enunciation. In a right-angled triangle the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. (a) Right angle. (b) Triangle. .(«) Hypotenuse. • II. Presentation. i. Analysis of Enunciation.... | |
| Alan Sanders - Geometry - 1903 - 392 pages
...quarter of the given hexagon. 199 PROPOSITION XI. THEOREM 643. The square described on the hypotenuse of a rightangled triangle is equivalent to the sum...the squares described on the other two sides. Let ABC be a right-angled triangle. To Prove ~Bi? = AJ? + AC* Proof. Describe squares on the three sides... | |
| John Alton Avery - Geometry, Modern - 1903 - 136 pages
...into four triangles of equal area. THEOREM X 193. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. Hyp. Let ABC be a rt. A, and let squares ACDX, BCRF, and ABLK be described on the hypo. AC, side BO,... | |
| Samuel Louis Phillips - Apologetics - 1903 - 124 pages
...when we look out on nature and find that a square described on the hypothenuse of every right angle triangle is equivalent to the sum of the squares described on the other two sides; that one of the functions of logarithms is that a high power of a number may be obtained by the multiplication... | |
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