Elements of geometry, containing books i. to vi.and portions of books xi. and xii. of Euclid, with exercises and notes, by J.H. SmithRivingtons, 1876 - 349 páginas |
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Página 5
... TRIANGLE is a plane figure contained by three straight lines . XIX . A QUADRILATERAL is a plane figure contained by four straight lines . XX . A POLYGON is a plane figure contained by more than four straight lines . When a polygon has ...
... TRIANGLE is a plane figure contained by three straight lines . XIX . A QUADRILATERAL is a plane figure contained by four straight lines . XX . A POLYGON is a plane figure contained by more than four straight lines . When a polygon has ...
Página 6
... Triangle is one which has two sides equal . The third side is often called the base of the triangle . The term base is applied to any one of the sides of a triangle to distinguish it from the other two , especially when they have been ...
... Triangle is one which has two sides equal . The third side is often called the base of the triangle . The term base is applied to any one of the sides of a triangle to distinguish it from the other two , especially when they have been ...
Página 12
... triangle , whose equal sides shall be each equal to another given straight line . 3. Draw a figure for the case in ... triangles have two 12 [ Book I. EUCLID'S ELEMENTS .
... triangle , whose equal sides shall be each equal to another given straight line . 3. Draw a figure for the case in ... triangles have two 12 [ Book I. EUCLID'S ELEMENTS .
Página 15
... Triangles . A Triangle is composed of six parts , three sides and three angles . When the six parts of one triangle are equal to the six parts of another triangle , each to each , the Triangles are said to be equal in all respects ...
... Triangles . A Triangle is composed of six parts , three sides and three angles . When the six parts of one triangle are equal to the six parts of another triangle , each to each , the Triangles are said to be equal in all respects ...
Página 16
... triangle ABC , let AC = AB . ( Fig . 1. ) Then must 4 ABC = L ACB . Imagine the △ ABC to be taken up , turned round ... triangle is also equiangular . NOTE . When one side of a triangle is distinguished from the other sides by being ...
... triangle ABC , let AC = AB . ( Fig . 1. ) Then must 4 ABC = L ACB . Imagine the △ ABC to be taken up , turned round ... triangle is also equiangular . NOTE . When one side of a triangle is distinguished from the other sides by being ...
Otras ediciones - Ver todas
Elements of Geometry, Containing Books I. to Vi.And Portions of Books Xi ... James Hamblin Smith,Euclides Sin vista previa disponible - 2022 |
Elements of Geometry, Containing Books I. to VI.and Portions of Books XI ... James Hamblin Smith,Euclides Sin vista previa disponible - 2018 |
Términos y frases comunes
AB=DE ABCD AC=DF angles equal angular points base BC BC=EF bisecting the angle centre chord circumference coincide describe diagonals diameter divided equal angles equiangular equilateral triangle equimultiples Eucl Euclid exterior angle given angle given circle given line given point given st given straight line greater than nD hypotenuse inscribed intersect isosceles triangle less Let ABC Let the st lines be drawn magnitudes middle points multiple opposite angles opposite sides parallelogram pentagon perpendicular polygon produced Prop prove Q. E. D. Ex Q. E. D. PROPOSITION quadrilateral radius ratio rectangle contained reflex angle rhombus right angles segment shew shewn straight line joining sum of sqq Take any pt tangent THEOREM together=two rt trapezium triangle ABC triangles are equal vertex vertical angle
Pasajes populares
Página 51 - 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 38 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
Página 178 - The angle in a semicircle is a right angle; the angle in a segment greater than a semicircle is less than a right angle; and the angle in a segment less than a semicircle is greater than a right angle.
Página 46 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon...
Página 50 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.
Página 104 - 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 187 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Página 89 - In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle, Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of the sides containing it, let fall the perpendicular AD from the opposite angle.
Página 5 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Página 5 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.