An introduction to geometry, consisting of Euclid's Elements, book i, accompanied by numerous explanations, questions, and exercises, by J. Walmsley. [With] Answers, Volume 11884 |
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Page
... Equality of Two Triangles , with Accessory Problems ... ... ... ... SECTION II . , PROPS . 7-12 . - Second Case of Equality ... Equal Area ... ... ... SECTION XI . , PROPS . 46-48 . - Squares and the Sides of the Right- angled Triangle ...
... Equality of Two Triangles , with Accessory Problems ... ... ... ... SECTION II . , PROPS . 7-12 . - Second Case of Equality ... Equal Area ... ... ... SECTION XI . , PROPS . 46-48 . - Squares and the Sides of the Right- angled Triangle ...
Page ii
... Equal Area ... SECTION XI . , PROPS . 46-48 . - Squares and the Sides of the Right- angled Triangle ... ... EXAMINATION PAPERS FOR REVISION ... 1 1 15 373 17 23 25 25 41 22 52 32 62 223 73 78 87 94 98 88888 89 109 116 ... 122 ...
... Equal Area ... SECTION XI . , PROPS . 46-48 . - Squares and the Sides of the Right- angled Triangle ... ... EXAMINATION PAPERS FOR REVISION ... 1 1 15 373 17 23 25 25 41 22 52 32 62 223 73 78 87 94 98 88888 89 109 116 ... 122 ...
Page 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 ...
Page 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 ...
Page 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 ...
Other editions - View all
An Introduction to Geometry, Consisting of Euclid's Elements, Book I ... Euclides No preview available - 2013 |
An Introduction to Geometry, Consisting of Euclid's Elements, Book I ... Euclides No preview available - 2023 |
An Introduction to Geometry, Consisting of Euclid's Elements, Book I ... Euclides No preview available - 2018 |
Common terms and phrases
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
Popular passages
Page 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.
Page 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.
Page 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.
Page 133 - The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another.
Page 134 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Page 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.
Page 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.
Page 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.
Page 96 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Page 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.