Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 páginas |
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Página 84
... Similar segments of circles are those which contain e- qual angles . PROPOSITION I. PROBLEM . To find the centre of a given circle . - See Note , Let ABC be the given circle ; it is required to find its centre . Draw any chord AB , and ...
... Similar segments of circles are those which contain e- qual angles . PROPOSITION I. PROBLEM . To find the centre of a given circle . - See Note , Let ABC be the given circle ; it is required to find its centre . Draw any chord AB , and ...
Página 103
... similar segments of the other . PROPOSITION XXXVI . THEOREM . If from any point without a circle a tangent and a secant be drawn , the rectangle containe by the secant and its external part is equal to the square of the tan- gent . Let ...
... similar segments of the other . PROPOSITION XXXVI . THEOREM . If from any point without a circle a tangent and a secant be drawn , the rectangle containe by the secant and its external part is equal to the square of the tan- gent . Let ...
Página 109
... Similar rectilineal figures are those which have their several angles equal , each to each , and the sides about the equal angles propor- tional . A. In similar figures the sides which are opposite to equal angles are homologous or like ...
... Similar rectilineal figures are those which have their several angles equal , each to each , and the sides about the equal angles propor- tional . A. In similar figures the sides which are opposite to equal angles are homologous or like ...
Página 114
... similar figures , according to Def . 1 ; therefore similar triangles are often used to denote equiangular trian- gles 114 ELEMENTS OF.
... similar figures , according to Def . 1 ; therefore similar triangles are often used to denote equiangular trian- gles 114 ELEMENTS OF.
Página 115
Being Chiefly a Selection from Playfair's Geometry John Playfair Francis Nichols. similar triangles are often used to denote equiangular trian- gles . PROPOSITION C. THEOREM . LUDLAM . LUDLAM . If a straight line be drawn from the vertex ...
Being Chiefly a Selection from Playfair's Geometry John Playfair Francis Nichols. similar triangles are often used to denote equiangular trian- gles . PROPOSITION C. THEOREM . LUDLAM . LUDLAM . If a straight line be drawn from the vertex ...
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Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Sin vista previa disponible - 2023 |
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Sin vista previa disponible - 2023 |
Términos y frases comunes
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
Pasajes populares
Página 36 - Any two sides of a triangle are together greater than the third side.
Página 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.
Página 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...
Página 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.
Página 20 - LET it be granted that a straight line may be drawn from any one point to any other point.
Página 38 - Problem. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle.
Página 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.
Página 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...
Página 36 - The greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.