 | Michel Chasles - 1837 - 564 páginas
...curve. 11. All lines are regular ot irregular; irregular lines, described, as it is termed, libera manu, are not subjects of mathematical investigation, and...interpretations made according to the laws of Algebra. SECTION II. ON THE STRAIGHT LINE. Straight line referred to rectangular co-ordinates. 12. WE will now... | |
 | Euclid, Isaac Todhunter - 1867 - 426 páginas
...angles to AB ; then it may bo easily shewn that this straight line is the required locus. 49. Required the locus of the vertices of all triangles on a given base AB, such that the square on the side terminated at A may exceed the square on the side terminated at... | |
 | Euclid, Isaac Todhunter - 1867 - 424 páginas
...angles to AB; then it may be easily shewn that this straight line is the required locus. 49. Required the locus of the vertices of all triangles on a given base AB, such that the square on the side terminated at A may exceed the square on the side terminated at... | |
 | Elias Loomis - 1877 - 458 páginas
...describe a circumference ; this circumference is the required locus. PROPOSITION VII. 48. Required the locus of the vertices of all triangles on a given base, AB, such that the square on tlie side terminated at A may exceed the square on the side terminated... | |
 | Isaac Todhunter - 1880 - 426 páginas
...angles to AB ; then it may be easily shewn that this straight line is the required locus. 49. Required the locus of the vertices of all triangles on a given base AB, such that the square on the side terminated at A may exceed the square on the side terminated at... | |
 | Euclid, Isaac Todhunter - 1883 - 428 páginas
...angles to AB ; then it may be easily shewn that this straight line is the required locus. 49. Required the locus of the vertices of all triangles on a given base AB, such that the square on the side terminated at A may exceed the square on the side terminated at... | |
 | Fletcher Durell - 1904 - 382 páginas
...of the other, a circumference may be passed through the extremities of the two lines. Ex. 2 1 . Find the locus of the vertices of all triangles on a given base and having a given area. Ex. 22. On the figure p. 206, prove that ~BC2+AF2=A~B2+~FC2Ex. 23. The area of a rectangle is... | |
 | Fletcher Durell - 1911 - 553 páginas
...of the other, a circumference may be passed through the extremities of the two lines. Ex. 21. Find the locus of the vertices of all triangles on a given base and having a given area. Ex. 22. On the figure p. 206, prove that~^2+ZF2=ZB2+TO2Ex. 23. The area of a rectangle is 108... | |
 | Fletcher Durell - 1904 - 232 páginas
...of the other, a circumference may be passed through the extremities of the two lines. Ex. 21. Find the locus of the vertices of all triangles on a given base and having a given area. Ex. 22. On the figure p. 206, prove that^BC2+ZpB=!ZB2+J'C2Ex. 23. The area of a rectangle is... | |
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AB; and draw a straight line through the middle point of AB at right angles to AB; then it may be easily shewn that this straight line is the required locus. 49. Required the locus of the vertices of all triangles on a given base AB, such that the square... 