Yale Examination PapersGinn, Heath & Company, 1892 - 139 pages |
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Page 12
... circles , equal chords are equally distant from the centres ; and of two unequal chords the less is at the greater distance from the centre . 3. The area of a trapezoid is equal to the product of its altitude and half the sum of its ...
... circles , equal chords are equally distant from the centres ; and of two unequal chords the less is at the greater distance from the centre . 3. The area of a trapezoid is equal to the product of its altitude and half the sum of its ...
Page 15
... circle , to draw a tangent to the circle . 1881 . [ Candidates who offer Euclid may take 1 , 2 , and 3. Candidates who offer any other Geometry may take any four propositions of 3 to 7 inclusive . The Candidate will please state in ...
... circle , to draw a tangent to the circle . 1881 . [ Candidates who offer Euclid may take 1 , 2 , and 3. Candidates who offer any other Geometry may take any four propositions of 3 to 7 inclusive . The Candidate will please state in ...
Page 120
... circle at the rate of 12 ° 15 ' 25 " per minute , how long is it in performing a complete revolution ? 5. If 6 men , working uniformly at a certain rate , do a certain piece of work in 17 dys . of 9 hrs . each , how many days of 8 hrs ...
... circle at the rate of 12 ° 15 ' 25 " per minute , how long is it in performing a complete revolution ? 5. If 6 men , working uniformly at a certain rate , do a certain piece of work in 17 dys . of 9 hrs . each , how many days of 8 hrs ...
Page 125
... similar to a given polygon ? 6. The circumferences of two circles are to each other as their radii , and their areas are to each other as the squares of their radii . II . -- SOLID AND SPHERICAL GEOMETRY . 7. If GEOMETRY . 125.
... similar to a given polygon ? 6. The circumferences of two circles are to each other as their radii , and their areas are to each other as the squares of their radii . II . -- SOLID AND SPHERICAL GEOMETRY . 7. If GEOMETRY . 125.
Page 126
... circle . 10. Between what two limits does the sum of the angles of a spherical triangle lie ? Write expressions for ... circles . 2. The bisector of an angle of a triangle divides the op- posite side into segments which are proportional ...
... circle . 10. Between what two limits does the sum of the angles of a spherical triangle lie ? Write expressions for ... circles . 2. The bisector of an angle of a triangle divides the op- posite side into segments which are proportional ...
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Popular passages
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.
Page 54 - Redit agricolis labor actus in orbem, atque in se sua per vestigia volvitur annus.
Page 47 - Hos ego digrediens lacrimis affabar obortis : Vivite felices, quibus est fortuna peracta Jam sua ; nos alia ex aliis in fata vocamur. Vobis parta quies ; nullum maris aequor arandum, 495 Arva neque Ausoniae semper cedentia retro Quaerenda.
Page 127 - Every section of a circular cone made by a plane parallel to the base is a circle.
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.