...triangle as a diameter bisects the base. Ex. 740. Three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians. Ex. 741. If in the parallelogram ABCD ZA = 00°, AC2 = AB2 + BC2 + ABx BC. Ex. 742. If the altitude...

...triangle as a diameter bisects the base. Ex. 740. Three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians. Ex. 741. If in the parallelogram ABCD ZA = 60°, A~C2 = AB2 + BC2 + AB x BC. Ex. 742. If the altitude...

...triangle as a diameter bisects the base. Ex. 740. Three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians. Ex. 741. If in the parallelogram ABCD ZA = 60°, AC* = AB* + .BC2 + AB x BC. Ex. 742. If the altitude...

...triangle as a diameter bisects the base. Ex. 740. Three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians. Ex. 741. If in the parallelogram ABCD ZA = 60°, AC'2 = AB2 + BC2 + AB x BC. Ex. 742. If the altitude...

...angle, as AB. The truth of the following principles has been established by geometry : PRINCIPLE I. The square of the hypotenuse of a rightangled triangle is equal to the sum of the squares of the base and the perpendicular. PRINCIPLE II. The square of either side of...

...the relation between a cone and a sphere is not of the sect of Archimedes; and he who perceived that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, is not in consequence a Pythagorean. When we say that...

...ATI the Base, and the side EG the Perpendicular. 678. It is an established principle of Geometry that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the base and the perpendicular. 679. The diagram at the right illustrates...

...building have been fixed. The accuracy of the angles laid out in this manner may be checked by the rule (The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides). The survey of the property gives the lines and levels...

..."carried that science to perfection." The most famous discovery of Pythagoras in this field was that the square of the hypotenuse of a right-angled triangle is equal to the squares of the other sides of the triangle. We have already noted the fable that his enthusiasm...

...the hypotenuse compare with the number of units in the sum of the squares of the other two sides ? The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. WRITTEN EXERCISES 533. 1. Find the hypotenuse of this...