 | John Paxton Hall - 1860 - 186 pages
...figure whose diameters bisect each other is a parallelogram. BOOK II. PROP. VI. — If a straight line be bisected and produced to any point, the rectangle...half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. PROP. XII. — In obtuse-angled triangles,... | |
 | Joseph Charles Parkinson - 1860 - 154 pages
...whose diameters bisect each other is a parallelogram. BOOK II. 7. PEOP. VI. — If a straight line be bisected and produced to any point, the rectangle...half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. 8. PROP. XII. — In obtuse-angled... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...together equal to the square described upon the side opposite to the right angle. 7. If a straight line be bisected and produced to any point, the rectangle...together with the square of half the line bisected, shall be equal to the square of the straight line made up of the half and the part produced. 8. Divide... | |
 | Euclides - 1860 - 288 pages
...(BC - CD), for BC + CD = AC + CD = AD, and BC- CD = DB. PROPOSITION VI. THEOBEM. If a straight line be bisected, and produced to any point, the rectangle...the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...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... | |
 | John Playfair - Geometry - 1860 - 334 pages
...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... | |
 | EDUCATION SOCIETY'S PRESS, CULLA - 1860 - 612 pages
...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 - 714 pages
...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...half the line bisected, is equal to the square of the line which is made up of the half and part produced. VOLUNTARY PORTION. 1. Inscribe an equilateral... | |
 | War office - 1861 - 260 pages
...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...the part of it produced, together •with the square on half the line bisected, is equal to the square on the straight line which is made up of the half... | |
 | Euclides - 1862 - 172 pages
...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,...half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. (References— Prop, t, 31, 36, 43;... | |
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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... 
