...Geometrical Forms and Arithmetical Solids, containing blocks to demonstrate the carpenter's theorem, that the square of the hypothenuse equals the sum of the squares of the other two sides ; Flat black-board Brush, of lamb's wool, with handle on the top ; Archimedes Screw...

...include the determination of the latitude and longitude. Or shall we ignore or deny the truth that the square of the hypothenuse equals the sum of the squares of the other two sides, because it does not include all other geometrical truths ? For my part, I am satisfied...

...AB) is called the Base, and the other (as, BC) the Perpendicular. 648. It is shown in Geometry that the square of the hypothenuse equals the sum of the squares of the other two sides. This principle is illustrated by the figure on the right. The small squares are...

...the right angle ; as AC. 641. The Principles of right-angled triangles are as follows: PRINCIPLES. 1. The square of the hypothenuse equals the sum of the squares of the other two sides. 2. Hence, the square of either side equals the square of the hypothenuse, diminished...

...the right angle ; as AC. 64L1. The Principles of right-angled triangles are as follows : PRINCIPLES. 1. The square of the hypothenuse equals the sum of the squares of the other two sides. 2. Hence, the square of either side equals the square of the hypothenuse, diminished...

...the right angle ; as AC. 818. The Principles of right-angled triangles are as follows : PRINCIPLES. 1. The square of the hypothenuse equals the sum of the squares of the other two sides. 2. Hence, the square of either side equals the square of the hypothenuse diminished...

...be regarded as certain results which the essences of things bring about. In a right-angled triangle the square of the hypothenuse equals the sum of the squares of the sides containing a right angle. The existence of a triangle is contingent, and in time; certain...

...10. Now, notice that 62 + 82 = 10a, and in Geometry this is found true of all rightangled triangles. The square of the hypothenuse equals the sum of the squares of the other sides. 440. Since AC2 = AB2 + BC2, AC = \ Alf + BC2 ; Also, AB2 = AC3 — BC2, AB = \ AC2...

...angle is the hypothenuse. 498. These three sides bear a constant relation to each other, such that, The square of the hypothenuse equals the sum of the squares of the base and perpendicular . Hence, 499. Any two sides of a triangle being known, the third side may...

...about the bisector of its vertical angle. 3. To inscribe a circle in a triangle. 4. In a right triangle the square of the hypothenuse equals the sum of the squares of the other two sides. The ratio of the diagonal of a square to one of its sides is y'l'. 5. If two straight...