 | Great Britain. Committee on Education - School buildings - 1847 - 708 pages
...the alternate angles equal to each other, these two straight lines shall be parallel. 3. Show that in any right-angled triangle the square which is described...the side subtending the right angle, is equal to the square described upon the sides which contain the right angle. APPENDIX (E.) TABLES exhibiting the... | |
 | Euclides - 1848 - 52 pages
...every parallelogram that has one right angle, has all its angles right angles. PROP. XLVII. THEOREM. In any right-angled triangle, the square which is...described upon the sides which contain the right angle. PROP. XLVIII. THEOREM. BOOK II. DEFINITIONS. I. EVERY right-angled parallelogram is called a rectangle,... | |
 | Education - 1848 - 542 pages
...to one another. — See " Bell's Euclid," prop. 35, book i. ; or " Tate's Geometry," &c. p. 33. 3. In any right-angled triangle, the square which is...angle is equal to the squares described upon the sides containing the right angle.— See " Bell's Euclid," prop. 47, book i. j or " Tate's Geometry," &c.... | |
 | Great Britain. Council on Education - Education - 1848 - 532 pages
...Prove that parallelograms on the sams base and between the same parallels are equal to one another. 3. In any right-angled triangle, the square which is...the side subtending the right angle is equal to the square described upon the sides containing the right angle. Section 3. 1. If a straight line be divided... | |
 | Bengal council of educ - 1848 - 394 pages
...understand the application of the test of geometrical equality. 23. In a right-angled triangle, the square described upon the side subtending the right angle is equal to the squares described upon the sides containing it. Why is the 'geometrical equality of the figures not determined in the demonstration... | |
 | J. Goodall, W. Hammond - 1848 - 390 pages
...to one another." Euclid i. 35. Tate, Art. 48. 3. " In any right-angled triangle the square which js described upon the side subtending the right angle is equal to the square described upon the sides containing the right angle." Euclid i. 47. Tate, Art. 45. SECTION III.... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...parallelogram that has one right angle has all its angles right angles. PROP. XLVII. THEOR. In any right angled triangle, the square which is described upon the side...sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC; the square described upon the side BC is equal to... | |
 | Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...straight line through a given point parallel to a given straight line. 3. Show that in any risht-angled triangle, the square which is described upon the side...described upon the sides which contain the right angle. Section 3. 1. If a straight line be divided into any two part» the square of the whole line is equal... | |
 | 1852 - 316 pages
...prone to rush on steel, disdained to spare An ill-saved life that must again return." THOMPSON. 10. In any right-angled triangle the square which is described...described upon the sides which contain the right angle. 11. If a straight line bo bisected and produced to any point ; the rectangle contained by the whole... | |
 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...join CD meeting AB in E ; shew that CE is equal to ED. 2. In any right-angled triangle, the square described upon the side subtending the right angle,...described upon the sides which contain the right angle. If ABC be a triangle whose angle A is a right angle, and BE, CF be drawn bisecting the opposite sides... | |
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In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. 
