An introduction to geometry, consisting of Euclid's Elements, book i, accompanied by numerous explanations, questions, and exercises, by J. Walmsley. [With] Answers, Volum 11884 |
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Side vi
... taken of the time at the teacher's disposal ; and that it can never be got through . In this objection a double misconception would be involved . A large portion of the work is set so that it shall admit of explicit answering and ready ...
... taken of the time at the teacher's disposal ; and that it can never be got through . In this objection a double misconception would be involved . A large portion of the work is set so that it shall admit of explicit answering and ready ...
Side vii
... taken in classes ; which is more than can be said for systems which involve the use of the ordinary sets of deductions , commonly and properly enough styled mere collections . " To succeed with these , teaching power of a high quality ...
... taken in classes ; which is more than can be said for systems which involve the use of the ordinary sets of deductions , commonly and properly enough styled mere collections . " To succeed with these , teaching power of a high quality ...
Side 1
... taken its rise from the art of measuring land , most probably in Egypt , and long before the time of Jesus Christ . The ancient Greeks cultivated the subject , and made great progress in increasing human knowledge of it . About 300 B.C. ...
... taken its rise from the art of measuring land , most probably in Egypt , and long before the time of Jesus Christ . The ancient Greeks cultivated the subject , and made great progress in increasing human knowledge of it . About 300 B.C. ...
Side 2
... taken as a whole ; but , like all other human work , they have their faults also , here and there . Some of these we will try to find out , and notice as we go on , The word definition ' is derived from the Latin definio , I limit . 2 ...
... taken as a whole ; but , like all other human work , they have their faults also , here and there . Some of these we will try to find out , and notice as we go on , The word definition ' is derived from the Latin definio , I limit . 2 ...
Side 4
... taken , the straight line between lies wholly in that superficies . The words ' superficies ' and ' surface ' are two words both derived from the same Latin words — super , above , and facies , a face . Their meaning is very much the ...
... taken , the straight line between lies wholly in that superficies . The words ' superficies ' and ' surface ' are two words both derived from the same Latin words — super , above , and facies , a face . Their meaning is very much the ...
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Vanlige uttrykk og setninger
AB is equal AC is equal adjacent angles alternate angle angle ABC angle ACB angle AGH angle BAC angle BCD angle equal angles CBA axiom base BC bisects the angle centre circle circumference Constr construction definition describe diagonal Diagram diameter enunciation equal and parallel equal angles equal sides equal to BC EQUIANGULAR POLYGONS equilateral triangle Euclid Euclid's Elements exterior four right angles Geometry given angle given point given straight line greater hypotenuse hypothesis inference isosceles triangle join less Let ABC magnitude meet middle point opposite angles opposite interior angle opposite sides pair of equal parallel to BC parallelogram perpendicular Postulate produced proof Prop proposition prove quadrilateral rectilineal figure respectively equal rhombus right angles right-angled triangle sides equal square supplementary angles theorems thesis trapezium triangle ABC triangles are equal unequal vertex Wherefore
Populære avsnitt
Side 132 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Side 86 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 139 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Side 133 - The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another.
Side 134 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Side 134 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line through the point A, parallel to the straight hue BC.
Side 50 - if two straight lines" &c. QED COR. 1. From this it is manifest, that if two straight lines cut one another, the angles which they make at the point where they cut, are together equal to four right angles.
Side 20 - PROB. from a given point to draw a straight line equal to a given straight line. Let A be the given point, and BC the given straight line : it is required to draw from the point A a straight line equal to BC.
Side 96 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Side 49 - If at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles ; then these two straight lines shall be in one and the same straight line.