An introduction to geometry, consisting of Euclid's Elements, book i, accompanied by numerous explanations, questions, and exercises, by J. Walmsley. [With] Answers, Τόμος 11884 |
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Αποτελέσματα 1 - 5 από τα 56.
Σελίδα 2
... give him , for the present at least , the opportunity of doing a little at a time and doing it well , these early articles will each embrace a very narrow , although of course increasing , range . 1. A point is that which has no parts ...
... give him , for the present at least , the opportunity of doing a little at a time and doing it well , these early articles will each embrace a very narrow , although of course increasing , range . 1. A point is that which has no parts ...
Σελίδα 3
... a dot have parts ? 5. Would you expect a dot of ink dried on the paper to have parts , even if you could not feel it with your finger ? 6. A dot on paper is not truly a geometrical point ; then of what use is it to make such a dot and call ...
... a dot have parts ? 5. Would you expect a dot of ink dried on the paper to have parts , even if you could not feel it with your finger ? 6. A dot on paper is not truly a geometrical point ; then of what use is it to make such a dot and call ...
Σελίδα 6
... A. When more than two lines meet at a point , we have various angles , each denoted in a similar manner , as BAC , CAE , & c . When either of the straight lines containing an angle has more letters than one along it , we may take any ...
... A. When more than two lines meet at a point , we have various angles , each denoted in a similar manner , as BAC , CAE , & c . When either of the straight lines containing an angle has more letters than one along it , we may take any ...
Σελίδα 7
... point any more , except to point out to the student that he may derive some warning from it how much care is often necessary in order to ensure that our language shall really express our meaning . Def . 10 is a double one , as it ...
... point any more , except to point out to the student that he may derive some warning from it how much care is often necessary in order to ensure that our language shall really express our meaning . Def . 10 is a double one , as it ...
Σελίδα 8
... give . A figure might be more ... point within the figure to the circum- ference are equal to one another . 16. And this point is called the centre of the circle . 17. A diameter of a circle is a straight line 8 DEFINITIONS . DEFINITIONS.
... give . A figure might be more ... point within the figure to the circum- ference are equal to one another . 16. And this point is called the centre of the circle . 17. A diameter of a circle is a straight line 8 DEFINITIONS . DEFINITIONS.
Άλλες εκδόσεις - Προβολή όλων
An Introduction to Geometry, Consisting of Euclid's Elements, Book I ... Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2013 |
An Introduction to Geometry, Consisting of Euclid's Elements, Book I ... Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
An Introduction to Geometry, Consisting of Euclid's Elements, Book I ... Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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 Corollary deduce definition diagonal Diagram drawn enunciation equal and parallel equal angles equal sides equal to BC equiangular EQUIANGULAR POLYGONS equilateral triangle Euclid Euclid's Elements exterior four right angles Geometry given point given rectilineal given straight line hypotenuse hypothesis inference isosceles triangle join less Let ABC magnitude meet opposite interior angle opposite sides pair of equal parallel to BC parallelogram perpendicular Playfair's Axiom Postulate produced proof Prop proposition prove quadrilateral rectilineal figure respectively equal rhombus right-angled triangle side BC sides equal square supplementary angles theorems thesis trapezium triangle ABC unequal vertex Wherefore XXVIII
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 133 - The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another.
Σελίδα 134 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 96 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Σελίδα 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.