 | Robert Potts - 1860 - 380 σελίδες
...rectangle PF.PCmay be equal to the rectangle PD.PA. 164. To produce a given straight line, so that the rectangle contained by the whole line thus produced, and the part of it produced, shall be equal to a given square. 165. Two straight lines stand at rig^ht angles to each other, one... | |
 | Euclides - 1860 - 288 σελίδες
...in the point C ; to prove that four times the rectangle AB • BC, together with the square on AC, is equal to the square on the straight line, which is made up of AB and BC together. (Const.) Produce AB to D, so that BD be equal to CB, and upon AD describe the square... | |
 | John Playfair - 1860 - 334 σελίδες
...difference, or that AC 2 —CD 2 =(AC+CD) (AC— • : CD)." SCHOLIUM. PROP. VI THEOR. Ifastraightlinebe bisected, and produced to any point ; the rectangle contained by the whole line that produced, and the part of it produced, together with the square of half the tine bisected, is... | |
 | Eucleides - 1860 - 396 σελίδες
...produced part, together with the square on half the line bisected, is equal in area to the square ou the straight line which is made up of the half and . the produced port II. 10. . . II. 11, cor II. 4, cor. 2. II. 1. . . IL 1, cor. II. 5, schol. 2. . II. 5,... | |
 | EDUCATION SOCIETY'S PRESS, CULLA - 1860 - 612 σελίδες
...line, so that the sum of the squares on the given line and the part produced may be equal to twice the rectangle contained by the whole line thus produced, and the part produced. 8 If a point be taken within a circle from which there fall more than two equal straight... | |
 | War office - 1861 - 260 σελίδες
...root of 12'7449. MATHEMATICS. Morning Paper. REV. WN GRIFFIN, MA Voluntary Portion. 2. If a straight line be bisected, and produced to any point, the rectangle...straight line which is made up of the half and the part produced. 3. In a circle the angle in a semicircle is a right angle, but the angle in a segment greater... | |
 | War office - 1861 - 714 σελίδες
...point of the same, and show that two straight lines cannot have a common segment. 2. If a straight line be bisected and produced to any point, the rectangle...and the part of it produced together with the square of half the line bisected, is equal to the square of the line which is made up of the half and part... | |
 | Euclides - 1862 - 172 σελίδες
...difference. PROP. VI.— THEOREM. If a straight line be bisected, and produced to any point ; then the rectangle contained by the whole line thus produced,...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
 | Euclides - 1862 - 140 σελίδες
...equal to the rectangle contained by their sum and difference. PROPOSITION G.— THEOREM. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced, ana, the part of it produced, together with the square on half the line bisected, is equal to the square... | |
 | University of Oxford - 1863 - 316 σελίδες
...angle, is equal to the squares described upon the sides which contain the right angle. 8. If a straight line be bisected, and produced to any point, the rectangle...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
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If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square... 
