An introduction to geometry, consisting of Euclid's Elements, book i, accompanied by numerous explanations, questions, and exercises, by J. Walmsley. [With] Answers, Volumen11884 |
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Página 11
... ABCD . 7. Write three qua- drilaterals occurring in the figure ABCDEF . 8. Write two five - sided polygons in the same figure , and one six - sided polygon . B B 11. TRIANGLES NAMED ACCORDING TO THEIR SIDES , Of three - sided figures ...
... ABCD . 7. Write three qua- drilaterals occurring in the figure ABCDEF . 8. Write two five - sided polygons in the same figure , and one six - sided polygon . B B 11. TRIANGLES NAMED ACCORDING TO THEIR SIDES , Of three - sided figures ...
Página 26
... A B C D 5. In the diagram of Proposition I. produce AB both ways to meet the circumference in D and E. With centre A and radius AE describe a circle ; also with centre B and radius BD describe a circle : let these circles intersect on H ...
... A B C D 5. In the diagram of Proposition I. produce AB both ways to meet the circumference in D and E. With centre A and radius AE describe a circle ; also with centre B and radius BD describe a circle : let these circles intersect on H ...
Página 40
... ABCD is a square , its diagonal will bisect it . ( b ) If ABC is a circle , its diameters are all equal . ( c ) If two adjacent sides of one oblong be equal to two adjacent sides of another , the two oblongs shall be equal . 3. Separate ...
... ABCD is a square , its diagonal will bisect it . ( b ) If ABC is a circle , its diameters are all equal . ( c ) If two adjacent sides of one oblong be equal to two adjacent sides of another , the two oblongs shall be equal . 3. Separate ...
Página 46
... ABCD be a rhombus . Join AC . Then AC shall bisect the angles BAD , BCD and also the rhombus ABCD . Because BA , AC are equal to DA , AC , each B to each , and the bases BC , DC are equal ; therefore the angles BAC , DAC are equal ; ( I ...
... ABCD be a rhombus . Join AC . Then AC shall bisect the angles BAD , BCD and also the rhombus ABCD . Because BA , AC are equal to DA , AC , each B to each , and the bases BC , DC are equal ; therefore the angles BAC , DAC are equal ; ( I ...
Página 50
... ABCD is a circle , whose centre is O , and the chords AB , BC , CD are respectively 3 ft . , 4 ft . , 3 ft . long ; prove that two of the angles A0B , BOC , COD are equal . 2. Deduce a method of testing the equality of two 50 EUCLID BOOK I.
... ABCD is a circle , whose centre is O , and the chords AB , BC , CD are respectively 3 ft . , 4 ft . , 3 ft . long ; prove that two of the angles A0B , BOC , COD are equal . 2. Deduce a method of testing the equality of two 50 EUCLID BOOK I.
Otras ediciones - Ver todas
An Introduction to Geometry, Consisting of Euclid's Elements, Book I ... Euclides Sin vista previa disponible - 2013 |
An Introduction to Geometry, Consisting of Euclid's Elements, Book I ... Euclides Sin vista previa disponible - 2023 |
An Introduction to Geometry, Consisting of Euclid's Elements, Book I ... Euclides Sin vista previa disponible - 2018 |
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 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.
Página 133 - The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another.
Página 134 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Página 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.
Página 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.
Página 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.
Página 96 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Página 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.