| John Perry - Machinery, Kinematics of - 1883 - 486 pages
...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, William Elwood Byerly - Geometry - 1887 - 336 pages
...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 - Geometry - 1887 - 342 pages
...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, William Elwood Byerly - Geometry - 1887 - 331 pages
...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 - Geometry - 1889 - 338 pages
...of the diameter. Suggestion. Draw the chords AC and CB. (v. II., Proposition XIV., Corollary.) ADB **PROPOSITION X.— THEOREM. 28. The square of the length...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 - Geometry - 1891 - 336 pages
...of the same unit, the results just obtained may be written (5, Corollary) A~V*=ABX 277' = AB X BD. **27. COROLLARY. If from any point in the circumference...angled at C ; then For, by Proposition IX., we have** ZT7' = AB X AD, and 1SV' = AB X BD, the sum of which is TC"' + :B7?* = AB X (AD + BD)=ABXAB='A~B\ 29.... | |
| William Chauvenet - Geometry - 1891 - 344 pages
...of the diameter. Suggestion. Draw the chords AC and CB. (v. II., Proposition XIV., Corollary.) A XI **B PROPOSITION X.— THEOREM. 28. The square of the...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 3T7' + -&? = AB X (AD + BD} =AB X AB =TB\ 29.... | |
| Webster Wells - Arithmetic - 1893 - 390 pages
...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 - Mechanical engineering - 1897 - 724 pages
...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 - Mechanical engineering - 1899 - 460 pages
...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,... | |
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