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 2
... divided into parts . Yet in these cases the magnitude is generally an accidental quality , which we do not want for its own sake , but rather that we may see the point , and have something to guide the eye in fixing the position . The ...
... divided into parts . Yet in these cases the magnitude is generally an accidental quality , which we do not want for its own sake , but rather that we may see the point , and have something to guide the eye in fixing the position . The ...
Side 23
... divided into numerous portions , generally called ' Propositions . ' Strictly speaking , a Proposition is that which places before us the object of some piece of reasoning upon which we are about to enter . The word comes from the Latin ...
... divided into numerous portions , generally called ' Propositions . ' Strictly speaking , a Proposition is that which places before us the object of some piece of reasoning upon which we are about to enter . The word comes from the Latin ...
Side 89
... divided into three triangles ; how many right angles are there in the sum of the angles of those three triangles ? 9. Show that the polygon ABCDE has all its angles together equal to all the angles of the three triangles ABC , ACD , ADE ...
... divided into three triangles ; how many right angles are there in the sum of the angles of those three triangles ? 9. Show that the polygon ABCDE has all its angles together equal to all the angles of the three triangles ABC , ACD , ADE ...
Side 90
... divided into as many triangles as the figure has sides , by drawing straight lines from a point F within it to each angle . E B Then , because the three angles of a triangle are equal to two right angles , and there are as many ...
... divided into as many triangles as the figure has sides , by drawing straight lines from a point F within it to each angle . E B Then , because the three angles of a triangle are equal to two right angles , and there are as many ...
Side 94
... divided into two triangles by means of the diagonal BD . Find a pair of angles which are equal , one being in each triangle . 2. Given that AB , CD in the same D B figure are also equal , find two sides in the one triangle respectively ...
... divided into two triangles by means of the diagonal BD . Find a pair of angles which are equal , one being in each triangle . 2. Given that AB , CD in the same D B figure are also equal , find two sides in the one triangle respectively ...
Andre utgaver - Vis alle
An Introduction to Geometry, Consisting of Euclid's Elements, Book I ... Euclides Ingen forhåndsvisning tilgjengelig - 2013 |
An Introduction to Geometry, Consisting of Euclid's Elements, Book I ... Euclides Ingen forhåndsvisning tilgjengelig - 2023 |
An Introduction to Geometry, Consisting of Euclid's Elements, Book I ... Euclides Ingen forhåndsvisning tilgjengelig - 2018 |
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.