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 12
... sides of a triangle have been named , the remaining side is often called the ... opposite the right angle of a right - angled triangle is called the ... sides . 4. If AC , BC be called the sides of the triangle ABC , what is AB to be ...
... sides of a triangle have been named , the remaining side is often called the ... opposite the right angle of a right - angled triangle is called the ... sides . 4. If AC , BC be called the sides of the triangle ABC , what is AB to be ...
Side 13
... opposite sides equal to one another , but all its sides are not equal nor its angles right angles . 34. All other four - sided figures besides these are called trapeziums . With respect to Definition 30 , if a figure has four equal sides ...
... opposite sides equal to one another , but all its sides are not equal nor its angles right angles . 34. All other four - sided figures besides these are called trapeziums . With respect to Definition 30 , if a figure has four equal sides ...
Side 14
... opposite angles . It is sometimes also called a diameter , and the word is used similarly for other quadrilaterals ... sides parallel is called a ' trapezoid . ' The word trapezium itself is sometimes used with this meaning . Obs . - The ...
... opposite angles . It is sometimes also called a diameter , and the word is used similarly for other quadrilaterals ... sides parallel is called a ' trapezoid . ' The word trapezium itself is sometimes used with this meaning . Obs . - The ...
Side 30
... sides AB , BC of the triangle ABC be equal to the two sides DE , EF of the ... opposite to AB , DE , AC , DF , BC , EF , respectively . 6. Distinguish ... sides must fit upon one another in order that we may infer that angles ACB and DFE ...
... sides AB , BC of the triangle ABC be equal to the two sides DE , EF of the ... opposite to AB , DE , AC , DF , BC , EF , respectively . 6. Distinguish ... sides must fit upon one another in order that we may infer that angles ACB and DFE ...
Side 31
... sides are opposite . Let ABC , DEF be two triangles which have the two sides AB , AC , and the angle BAC which they contain , respectively equal to the two sides DE , DF , and the angle EDF which these contain ; namely , AB equal to DE ...
... sides are opposite . Let ABC , DEF be two triangles which have the two sides AB , AC , and the angle BAC which they contain , respectively equal to the two sides DE , DF , and the angle EDF which these contain ; namely , AB equal to DE ...
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.