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 91.
Σελίδα 11
... equal sides . 25. An isosceles triangle is that which has two sides equal . 26. A scalene triangle is that which has three unequal sides . да The Latin æquus means equal ; Greek isos , equal ; skelos , leg ; skalenos , limping , uneven ...
... equal sides . 25. An isosceles triangle is that which has two sides equal . 26. A scalene triangle is that which has three unequal sides . да The Latin æquus means equal ; Greek isos , equal ; skelos , leg ; skalenos , limping , uneven ...
Σελίδα 12
... side . Still , whenever two sides of a triangle have been named , the remaining side is often called the base , whichever it may be . In an isosceles triangle , we usually call those which are equal ' the sides . ' Notice the word ...
... side . Still , whenever two sides of a triangle have been named , the remaining side is often called the base , whichever it may be . In an isosceles triangle , we usually call those which are equal ' the sides . ' Notice the word ...
Σελίδα 13
... 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 and one ...
... 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 and one ...
Σελίδα 15
... parallel ; also AD , PV , QU , BC ; also PY , QX , BD , RV , SU . Say what kind of figure each of these is— APEY , PQXY , PHDY , ABSX , BSUD - remembering that all the sides of the little triangles are equal . 4. If A were a right angle ...
... parallel ; also AD , PV , QU , BC ; also PY , QX , BD , RV , SU . Say what kind of figure each of these is— APEY , PQXY , PHDY , ABSX , BSUD - remembering that all the sides of the little triangles are equal . 4. If A were a right angle ...
Σελίδα 20
... sides of the small triangles are equal . 10. Show that AQ is equal to AX . Since AP is equal to AY , and PQ is equal to YX ; Proof . therefore the whole which is formed by adding PQ to AP is equal to the whole formed by adding YX to AY ...
... sides of the small triangles are equal . 10. Show that AQ is equal to AX . Since AP is equal to AY , and PQ is equal to YX ; Proof . therefore the whole which is formed by adding PQ to AP is equal to the whole formed by adding YX to AY ...
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.