ResponsionsOsford University Press, 1863 |
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Página 7
... line . 4. To a given right line apply a parallelogram which shall be equal to a given triangle and have one of its ... whole line is equal to the squares of the parts together with twice the rectangle contained by those parts . Give the ...
... line . 4. To a given right line apply a parallelogram which shall be equal to a given triangle and have one of its ... whole line is equal to the squares of the parts together with twice the rectangle contained by those parts . Give the ...
Página 7
... whole number of passengers will the first class amount to ? IV . Euclid . 1. Define - plane angle , right angle ... lines , but any two whatever of these must be greater than the third . 5. If a straight line falling on two other straight ...
... whole number of passengers will the first class amount to ? IV . Euclid . 1. Define - plane angle , right angle ... lines , but any two whatever of these must be greater than the third . 5. If a straight line falling on two other straight ...
Página 8
University of Oxford. 5. If a straight line falling on two other straight lines , make the alternate angles equal to ... whole line is equal to the squares on the two parts , together with twice the rectangle contained by the parts . 9 ...
University of Oxford. 5. If a straight line falling on two other straight lines , make the alternate angles equal to ... whole line is equal to the squares on the two parts , together with twice the rectangle contained by the parts . 9 ...
Página 7
... lines shall be in one and the same straight line . 5. Required to divide a given straight line into two parts , so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part . 6 ...
... lines shall be in one and the same straight line . 5. Required to divide a given straight line into two parts , so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part . 6 ...
Página 6
... 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 on half the line bisected , is equal to the square on the straight line which is ...
... 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 on half the line bisected , is equal to the square on the straight line which is ...
Términos y frases comunes
116 HIGH STREET angle contained angles equal aorist BALFOUR STEWART Book are required cent Cicero CLARENDON PRESS DEPOSITORY CLARENDON PRESS SOLD dative decimal DEPOSITORY 116 HIGH Describe a parallelogram Euclid EURIPIDES exterior angle Extract the square feet Find the G. C. M. Find the square Find the value French Language given rectilineal angle given rectilineal figure given straight line Greek half the line INUS TIO ILLV Latin Prose line be divided lowest terms Michaelmas Term N. B. Two Propositions obtuse angle OXFORD EXAMINATION PAPERS parallelogram perf plur pres PRESS DEPOSITORY 116 Propositions at least rectangle contained right angle sesterces side subtending Simplify sing Sophocles square on half square root squares described subj subjunctive TIO ILLV MEA Translate into Latin Trinity Term twice the rectangle University EXAMINATION PAPERS vulgar fraction whole line yards δὲ Καὶ μὲν οἱ وو
Pasajes populares
Página 3 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Página 6 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...
Página 7 - 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 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.
Página 7 - Then with a grim and surly voice he bid them awake, and asked them whence they were and what they did in his grounds. They told him they were pilgrims and that they had lost their way. Then said the giant, You have this night trespassed on me by trampling in and lying on my grounds, and therefore you must go along with me.
Página 7 - ... subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle, Let ABC be an obtuse-angled triangle, having the obtuse angle ACB; and from the point A, let AD be drawn perpendicular to BC produced.
Página 2 - In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle.
Página 6 - If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section.
Página 2 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Página 2 - THE angles at the base of an isosceles triangle are equal to one another : and, if the equal sides be produced, the angles upon the other side of the base shall be equal.
Página 7 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line.