 | John Paxton Hall - 1860 - 186 σελίδες
...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 and the part produced. PROP. XII. — In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles... | |
 | Euclides - 1860 - 288 σελίδες
...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 and the part produced. Given the straight line AB, bisected in C, and produced to the point D ; to prove that the rectangle... | |
 | Royal college of surgeons of England - 1860 - 332 σελίδες
...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 and the part produced. II. ALGEBRA. 1. Ifg = |y = $g> find the уа1ие зУ 4 2. Divide лг* - 4*з - 34^ + 76* - 105 by... | |
 | Joseph Charles Parkinson - 1860 - 154 σελίδες
...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 and the part produced. 8. PROP. XII. — In obtuse-angled triangles, if a perpendicular be drawn from either of the acute... | |
 | Civil service - 366 σελίδες
...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 and the part produced. PEOP. XII. — In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles... | |
 | War office - 1861 - 260 σελίδες
...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 and the part produced. 3. In a circle the angle in a semicircle is a right angle, but the angle in a segment greater than... | |
 | Euclides - 1861 - 464 σελίδες
...of it produced, together with the square of half the line bisd., is equal to the square of the st. line which is made up of the half and the part produced. El- Hyp. 1 2 „ 2 Cone. Let D be any • without © ABC; and DCA, DB two st. lines from • D, of... | |
 | Euclides - 1862 - 172 σελίδες
...the half and the part produced. (References— Prop. i. 5, 6, 11, 15, 29, 31, 32, 34, 46 Cor. 47.) Let the straight line AB be bisected in C, and produced to the point D. CONSTRUCTION From the point C draw CE at right angles to AB ; (i. 11) make it equal to AC or CB, (i.... | |
 | Euclides - 1862 - 140 σελίδες
...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 and the part produced. (References — Prop. I. 31, 34, 36, '43, 46; II. 4, cor.) Hypothesis. — Let the straight line AB... | |
 | Euclides - 1863 - 122 σελίδες
...the rectangle AD. DB. To each of these equals add LG, which is equal to the square of CB. Therefore the rectangle AD. DB, together with the square of CB, is equal to the gnomon CMG, and LG. But tho gnomon CMG and LG make up thesquare CF, which is the square of CD. Therefore... | |
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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... 
