 | John Perry - 1883 - 486 σελίδες
...no matter what scale of measurement you use, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Area of a triangle. — Any side multiplied by its perpendicular distance from the opposite angle and... | |
 | William Chauvenet - 1887 - 336 σελίδες
...diameter. Suggestion. Draw the chords AC and CB. (v. II., Proposition XIV., Corollary.) AD D PROPOSITION X.— THEOREM. 28. The square of the length of the...angled at C; then For, by Proposition IX., we have 277' = AB X AD, and ~EV' = AB X the sum of which is 277' + J?77' = AB X (AD + BD) = AB X AB = 29. Scholium... | |
 | William Chauvenet, William Elwood Byerly - 1887 - 336 σελίδες
...Suggestion. Draw the chords AC and CB. (p. II., Proposition XIV., Corollary.) ADB PROPOSITION X.—THEOREM. 28. The square of the length of the hypotenuse of...angled at C; then For, by Proposition IX., we have A~U* = AB X AD, and ~Etf = AB X BD, the sum of which is ZZ7* + :BZ7* = AB X (AD + BD) = ABxAB = 29.... | |
 | William Chauvenet, William Elwood Byerly - 1887 - 342 σελίδες
...diameter, the perpendicular is a mean proportional between the segments of the diameter. PROPOSITION X. The square of the length of the hypotenuse of a right...lengths being expressed in terms of the same unit. PROPOSITION XI. If two chords intersect within a circle, their segments are reciprocally proportional.... | |
 | William Chauvenet - 1889 - 338 σελίδες
...diameter. Suggestion. Draw the chords AC and CB. (v. II., Proposition XIV., Corollary.) ADB PROPOSITION X.— THEOREM. 28. The square of the length of the...the same unit. Let ABC be right angled at C; then -fFor, by Proposition IX., we have ZC 2 = AB X AD, and 27C ' ' = AB X the sum of which is 3T7 2 + ~BC2... | |
 | William Chauvenet - 1893 - 340 σελίδες
...diameter, the perpendicular is a mean proportional between the segments of the diameter. PROPOSITION X. The square of the length of the hypotenuse of a right...lengths being expressed in terms of the same unit. PROPOSITION XI. If two chords intersect within a circle, their segments are reciprocally proportional.... | |
 | Webster Wells - 1893 - 390 σελίδες
...all ex- jr pressed in terms of the same unit, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. It follows from the above that In a right triangle, the square of either side about the right angle... | |
 | John Perry - 1897 - 724 σελίδες
...no matter what scale of measurement you use, the square of the length of the hypothenuse is equal to the sum of the squares of the lengths of the other two sides. Area of a triangle. — Any side multiplied iks perpendicular distance from the opposite corner and... | |
 | Peder Lobben - 1899 - 460 σελίδες
...sides are called the base and perpendicular. The square of the length of the hypothenuse is equal to the sum of the squares of the lengths of the other two sides. ( See Fig. 5). a2 + b2 = c2 From this law the third side of a right-angled triangle can always be found,... | |
 | William Chauvenet - 1905 - 336 σελίδες
...diameter, the perpendicular is a mean proportional between the segments of the diameter. PROPOSITION X. The square of the length of the hypotenuse of a right...lengths being expressed in terms of the same unit. PROPOSITION XI. If two chords intersect within a circle, their segments are reciprocally proportional.... | |
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The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. 
