Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 Seiten |
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Seite 17
... angle at a point , it may be expressed by a letter placed at that point , as the angle at E. 10. When a straight line standing on another straight line makes the adjacent angles equal to each other , each of the an- gles is called a right ...
... angle at a point , it may be expressed by a letter placed at that point , as the angle at E. 10. When a straight line standing on another straight line makes the adjacent angles equal to each other , each of the an- gles is called a right ...
Seite 19
... right angle . 31. An obtuse angled triangle is that which has an obtuse angle . 32. An acute angled triangle is that which has three acute angles , Note . A triangle which has no right angle is often called an oblique angled triangle ...
... right angle . 31. An obtuse angled triangle is that which has an obtuse angle . 32. An acute angled triangle is that which has three acute angles , Note . A triangle which has no right angle is often called an oblique angled triangle ...
Seite 20
... angles of any quadrilateral figure , or two opposite angles of any polygon , is called a diagonal . ED . 38. In a right angled triangle the side opposite to the right angle is called the hypothenuse ; and of the other two sides one is ...
... angles of any quadrilateral figure , or two opposite angles of any polygon , is called a diagonal . ED . 38. In a right angled triangle the side opposite to the right angle is called the hypothenuse ; and of the other two sides one is ...
Seite 31
... angle of an equila- teral or an isosceles triangle , it will also bisect the base at right angles . For the triangles ACD , BCD are equal in all respects . PROPOSITION XI . PROBLEM . To draw a straight line at right angles to a given ...
... angle of an equila- teral or an isosceles triangle , it will also bisect the base at right angles . For the triangles ACD , BCD are equal in all respects . PROPOSITION XI . PROBLEM . To draw a straight line at right angles to a given ...
Seite 32
... angles ; therefore each of them is a right angle , and CH is perpendicular to FG ( 10 Def . ) . Therefore from the given point C a perpendicular CH has been drawn to the given straight ... right angles . A E A D B C D B C If 32 ELEMENTS OF.
... angles ; therefore each of them is a right angle , and CH is perpendicular to FG ( 10 Def . ) . Therefore from the given point C a perpendicular CH has been drawn to the given straight ... right angles . A E A D B C D B C If 32 ELEMENTS OF.
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Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Keine Leseprobe verfügbar - 2023 |
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Keine Leseprobe verfügbar - 2023 |
Häufige Begriffe und Wortgruppen
ABC is equal ABCD alternate angles angle ABC angle ACB angle BAC angles AGH angles equal base ABC bases and altitudes bisect centre chord circumference cone Consequently cylinder demonstrations described diagonals diameter divided draw equal angles equal arches equal bases equal circles equal to AC equiangular Euclid's Euclid's Elements exterior angle fore four quantities four right angles geometry given point given straight line gles greater Hence homologous sides intersect KLMN Let ABC meet opposite angles opposite side paral parallel lines parallel to CD parallelogram parallelopipeds perp perpendicular plane polygon prism Prop pyramid Q. E. D. COR Q. E. D. PROPOSITION radius rectangle contained right angled triangle Scholium segments semicircle side AC similar similar triangles solid square straight line &c subtended tangent THEOREM triangle ABC vertex wherefore
Beliebte Passagen
Seite 36 - Any two sides of a triangle are together greater than the third side.
Seite 80 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Seite 42 - 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...
Seite 30 - To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line : it is required to divide it intotwo equal parts.
Seite 20 - LET it be granted that a straight line may be drawn from any one point to any other point.
Seite 38 - Problem. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle.
Seite 113 - Wherefore also the angle BAD is equal to the angle CAD : Therefore the angle BAC is cut into two equal angles by the straight line AD.
Seite 24 - DE ; the point B shall coincide with the point E, because AB is equal to DE; and AB coinciding with DE, AC shall coincide...
Seite 36 - The greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.