Yale Examination PapersGinn, Heath & Company, 1892 - 139 pages |
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Page 11
... whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part , together with the square on the other part . ( LOOMIS AND LEGENDRE . ) 1. If a straight line , meeting two other straight lines ...
... whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part , together with the square on the other part . ( LOOMIS AND LEGENDRE . ) 1. If a straight line , meeting two other straight lines ...
Page 12
... whole and one of the parts may be equal to the square on the other part . ( LEGENDRE . ) 1. In an isosceles triangle the angles opposite the equal sides are equal . 2. In equal circles , equal chords are equally distant from the centres ...
... whole and one of the parts may be equal to the square on the other part . ( LEGENDRE . ) 1. In an isosceles triangle the angles opposite the equal sides are equal . 2. In equal circles , equal chords are equally distant from the centres ...
Page 13
... whole line , and on one of the parts , are equal to twice the rectangle contained by the whole and that part , together with the square on the other part . ( LEGENDRE . ) 1. If two sides of a quadrilateral are equal and parallel , the ...
... whole line , and on one of the parts , are equal to twice the rectangle contained by the whole and that part , together with the square on the other part . ( LEGENDRE . ) 1. If two sides of a quadrilateral are equal and parallel , the ...
Page 14
... whole line is equal ( or equivalent ) to the squares of the two parts , together with twice the rectangle contained by the parts . 6. The rectangle contained by the sum and difference of two lines is equivalent to the difference of the ...
... whole line is equal ( or equivalent ) to the squares of the two parts , together with twice the rectangle contained by the parts . 6. The rectangle contained by the sum and difference of two lines is equivalent to the difference of the ...
Page 15
... whole and one of the parts may be equal to the square on the other part . 4. To divide a given line into two parts , such that the greater part may be a mean proportional between the whole line and the other part . 5. ( a ) At a given ...
... whole and one of the parts may be equal to the square on the other part . 4. To divide a given line into two parts , such that the greater part may be a mean proportional between the whole line and the other part . 5. ( a ) At a given ...
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Page 59 - Hanc olim veteres vitam coluere Sabini, hanc Remus et frater, sic fortis Etruria crevit scilicet et rerum facta est pulcherrima Roma, septemque una sibi muro circumdedit arces.
Page 12 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 15 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
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Page 126 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Page 40 - Homines enim ad deos nulla re propius accedunt quam salutem hominibus dando. Nihil habet nee fortuna tua majus, quam ut possis, nee natura melius, quam 5 ut velis servare quam plurimos.
Page 50 - ... mellaque decussit foliis ignemque removit, et passim rivis currentia vina repressit, ut varias usus meditando extunderet artes paulatim et sulcis frumenti quaereret herbam. [ut silicis venis abstrusum excuderet ignem...
Page 11 - If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C; the squares of AB, BC are equal to twice the rectangle AB, BC, together with the square of AC.