Books Books 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. The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ... - Page 104
by Euclides - 1847 ## Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - Geometry - 1846 - 168 pages
...AE : : AE : EB, &c., as above (p. 17, 6). 31 Th. In right angled triangles, the rectilineal figure described upon the side subtending the right angle, is equal to the figures similar to it, described upon the sides containing the same angle. Given the triangle ABC,... ## The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...extreme and mean ratio in CQEF PROP. XXXI. THEOR. In any right-angled triangle, any rectilineal figure described upon the side subtending the right angle is equal to the similar and similarly situated figures upon the sides containing the right angle. Let ABC be a right-angled... ## Instructions for the use of the slide-rule, applied to computations relating ...

John EWART (Land Surveyor.) - 1847 - 108 pages
...47th prop, of 1st book of Euclid, that, "in any right-angled triangle, the square which is desciibed upon the side subtending the right angle, is equal...described upon the sides which contain the right angle." By which theorem, the hypothenuse, or side subtending the right angle, is equal to the square root... ## Minutes of the Committee of Council on Education, Volume 2

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... ## The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclid - 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,... ## The English Journal of Education, Volume 2

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.... ## Report of the Committee of Council on Education (England and Wales ..., Issue 1

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... ## Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1848 - 396 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... ## Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 388 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.... 