Gradations in Euclid : books i. and ii., with an explanatory preface [&c.] by H. Green1858 |
Dentro del libro
Resultados 1-5 de 92
Página v
... Figures , not being sections of a Cone , are to be constructed . The APPENDIX , containing GEOMETRICAL ANALYSIS and GEOMETRICAL EXERCISES , appeared to the Writer needed for the completion of his plan , i . e . , for comprising a ...
... Figures , not being sections of a Cone , are to be constructed . The APPENDIX , containing GEOMETRICAL ANALYSIS and GEOMETRICAL EXERCISES , appeared to the Writer needed for the completion of his plan , i . e . , for comprising a ...
Página vii
... figures , or diagrams , are given in either of the Series of Skeleton Propositions ; as it is more conducive to the Learner's sound progress that he be left entirely to himself to construct these . The Uses and Applications of the ...
... figures , or diagrams , are given in either of the Series of Skeleton Propositions ; as it is more conducive to the Learner's sound progress that he be left entirely to himself to construct these . The Uses and Applications of the ...
Página 3
... figures as can be described in or about a circle ; the fifth , of Proportion with re- gard to magnitude in general ; and the sixth , of similar figures , and of Proportion as applied to Geometry . Our proposed limits confine us , for ...
... figures as can be described in or about a circle ; the fifth , of Proportion with re- gard to magnitude in general ; and the sixth , of similar figures , and of Proportion as applied to Geometry . Our proposed limits confine us , for ...
Página 5
... figure just above to the right hand , as A B2 , denote , not the square of A B , but the square on the line A B. Capital letters , with a point between them , as AB.CD , de- note , not the product of A B multiplied by CD , but the ...
... figure just above to the right hand , as A B2 , denote , not the square of A B , but the square on the line A B. Capital letters , with a point between them , as AB.CD , de- note , not the product of A B multiplied by CD , but the ...
Página 7
... figure , or to solve a question . A Theorem is the assertion of a geometrical truth , and requires demonstration . it . The Data are the things granted in a problem ; The Quæsita are the things sought for in it ; The Hypothesis is the ...
... figure , or to solve a question . A Theorem is the assertion of a geometrical truth , and requires demonstration . it . The Data are the things granted in a problem ; The Quæsita are the things sought for in it ; The Hypothesis is the ...
Otras ediciones - Ver todas
Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... Euclides Vista completa - 1870 |
Gradations in Euclid: Books I. and II., with an Explanatory Preface [&C.] by ... Euclides Sin vista previa disponible - 2016 |
Términos y frases comunes
ABCD added Algebra angle equal angular applied Arithmetic ascertain Axiom base bisect called centre circle circumference common Concl CONS construct contained demonstration describe diagonal diameter difference distance divided double draw drawn Euclid extremity fall feet figure four Geometry give given line given point greater half inch intersect join length less line BC magnitude MAPS means measure meet method miles object opposite sides parallel parallelogram perpendicular plane Practical principle PROB problem produced Prop proposition proved radius Recap rectangle representative respect right angles scale segment sides similar square straight line surface taken term thing third triangle truth twice units Wherefore whole
Pasajes populares
Página 93 - 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 105 - 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 equal to two right angles.
Página 161 - If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Página 41 - A segment of a circle, is the figure contained by a straight line and the circumference which it cuts off.
Página 93 - If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal.
Página 100 - 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 the same side; and likewise the two interior angles upon the same side together equal to two right angles...
Página 180 - 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 18 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.
Página 142 - If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it ; the angle contained by these two sides is a right angle.
Página 44 - LET it be granted that a straight line may be drawn from any one point to any other point.