 | Isaac Watts - 1755 - 390 pagine
...two right Angles, or that the Square of the Hypotenufe of a right-angled 'Triangle is equal to the Sum of the Squares of the two Sides ; the Ploughman, who has but contufed Ideas of thefe Things, may firmly and fafely believe thefe Propofitions upon the fame Ground,... | |
 | Isaac Watts - 1809 - 328 pagine
...two right angles, or that the square of the hypotheiuise of a right-angled triangle is equal to the sum of the squares of the two sides ; the ploughman,...but confused ideas of these things, may firmly and easily believe these propositions, upon the same ground because he has evidence of the skill and faithfulness... | |
 | Henry Malden - 1830 - 166 pagine
...arithmetic, mathematics, and astronomy. He discovered the proof of the proposition, that the square en the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other sides. He knew that the sun was the centre round which the earth and other... | |
 | Euclides - 1858 - 248 pagine
...same altitude as a triangle, is double of the triangle : and Prop. 47 demonstrating that the square on the hypotenuse *of a right-angled triangle, is equal to the sum of the squares on the base and perpendicular. The second book treats of the properties of RIGHT-ANGLED... | |
 | Chambers W. and R., ltd - 1859 - 344 pagine
...another 3 feet, then — the first circle : the second : : 2* : 3r, or as 4 : 9. II. 'ТнЕ SQUARE OP THE HYPOTENUSE of a right-angled triangle is equal to the sum of the squares of the base and perpendicular.' In the annexed diagram, AC is the hypotenuse, AB the base,... | |
 | John M. Gregory - 1859 - 438 pagine
...the truth,of what is popularly known as the Carpenter's Theorem, to wit: The square described upon the hypotenuse of a right-angled triangle is equal to the sum of the squares described upon thel other two sides. Although not a demonstration, it will carry with it... | |
 | Isaac Todhunter - 1864 - 298 pagine
...preceding proof it should be remarked that it is shewn in Euclid, I. 47, that the square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the sides ; and it is known that the geometrical square described upon any... | |
 | 1866 - 538 pagine
...Emmaretta Williams, who demonstrated the beautiful I'ythagor'ean theorem, "The square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides." Miss Lizzie Trull and Mr, Allison also deserve especial... | |
 | Isaac Todhunter - 1866 - 206 pagine
...demonstration it should be remarked that it is shewn in Euclid i. 47, that the square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the sides; and it is known that the geometrical square described on any straight... | |
 | Joseph Ray - 1877 - 402 pagine
...the hypotenuse. BC the base, and AC the perpendicular. / 4. Proposition. — The square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other tico sides. Draw a right-angled triangle, ABC,^ with the side BC... | |
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Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. 
