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 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 29.
Σελίδα 8
... CIRCLES . 15. A circle is a plane figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the figure to the circum- ference are equal to one another . 16 ...
... CIRCLES . 15. A circle is a plane figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the figure to the circum- ference are equal to one another . 16 ...
Σελίδα 9
... circle ' and also its ' circum- ference . ' Definition 16 might have been similarly incorporated with Def . 15 , and by itself , of course , is no definition of ' centre of ... circle is the figure contained CIRCLES AND PARTS OF CIRCLES . 9.
... circle ' and also its ' circum- ference . ' Definition 16 might have been similarly incorporated with Def . 15 , and by itself , of course , is no definition of ' centre of ... circle is the figure contained CIRCLES AND PARTS OF CIRCLES . 9.
Σελίδα 10
... circle cuts it into halves . If we follow the common practice of Euclid , this should not have been assumed , for the simple reason that we are able to prove it ; as the learner will perhaps notice on reading Euclid's Book III ...
... circle cuts it into halves . If we follow the common practice of Euclid , this should not have been assumed , for the simple reason that we are able to prove it ; as the learner will perhaps notice on reading Euclid's Book III ...
Σελίδα 14
... circle . 14. Count the number of small segments cut off along the edge of the same circle . 10. Write two others , 11. If POR be a right Write down the terms EXAMINATION XII . ( Diagram I. is referred to . 14 DEFINITIONS .
... circle . 14. Count the number of small segments cut off along the edge of the same circle . 10. Write two others , 11. If POR be a right Write down the terms EXAMINATION XII . ( Diagram I. is referred to . 14 DEFINITIONS .
Σελίδα 15
... circle ABCDH . 4. TE is not equal to the radius of either circle , nor is TG ; to what sort of triangles do OET and OGT belong ? 5. Distinguish between the angle HOK and triangle HOK . 6. Are the triangles HOK and OKH different ? 7. Are ...
... circle ABCDH . 4. TE is not equal to the radius of either circle , nor is TG ; to what sort of triangles do OET and OGT belong ? 5. Distinguish between the angle HOK and triangle HOK . 6. Are the triangles HOK and OKH different ? 7. Are ...
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 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
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.