Elements of Geometry |
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Page vi
... entitled the proportions of figures , contains the measure of surfaces , their comparison , the properties of a right - angled triangle , those of equiangular triangles , of similar figures , & c . We shall be found fault vi Preface .
... entitled the proportions of figures , contains the measure of surfaces , their comparison , the properties of a right - angled triangle , those of equiangular triangles , of similar figures , & c . We shall be found fault vi Preface .
Page vii
... surfaces ; but in this we have followed pretty nearly the example of Euclid , and this order cannot fail of being ... surfaces and solidities of these bodies is deter- mined by a method analogous to that of Archimedes , and found- ed ...
... surfaces ; but in this we have followed pretty nearly the example of Euclid , and this order cannot fail of being ... surfaces and solidities of these bodies is deter- mined by a method analogous to that of Archimedes , and found- ed ...
Page xiv
... multiplication of the lines B and C. The magnitudes A and B in the proportion A : B :: C : D , may be of one kind , as lines , and the magnitudes C and D of another kind , as surfaces ; still these magnitudes are Xiv Introduction .
... multiplication of the lines B and C. The magnitudes A and B in the proportion A : B :: C : D , may be of one kind , as lines , and the magnitudes C and D of another kind , as surfaces ; still these magnitudes are Xiv Introduction .
Page xv
Adrien Marie Legendre. another kind , as surfaces ; still these magnitudes are always to be regarded as numbers ; A and B will be expressed in linear units , C and D in superficial units , and the product A × D will be a number , as also ...
Adrien Marie Legendre. another kind , as surfaces ; still these magnitudes are always to be regarded as numbers ; A and B will be expressed in linear units , C and D in superficial units , and the product A × D will be a number , as also ...
Page 1
... surface is that which has length and breadth , without thickness . 6. A plane is a surface , in which any two points being taken , the straight line joining those points lies wholly in that surface . 7. Every surface , which is neither ...
... surface is that which has length and breadth , without thickness . 6. A plane is a surface , in which any two points being taken , the straight line joining those points lies wholly in that surface . 7. Every surface , which is neither ...
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Common terms and phrases
ABC fig adjacent angles altitude angle ACB angle BAD base ABCD bisect centre chord circ circular sector circumference circumscribed common cone consequently construction convex surface Corollary cube cylinder Demonstration diagonals diameter draw drawn equal and parallel equiangular equilateral equivalent faces figure four right angles frustum Geom gles greater hence homologous sides hypothenuse inclination inscribed circle isosceles join less let fall line AC manner mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism proposition pyramid S-ABC quadrilateral radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium segment semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three plane angles triangle ABC triangular prism triangular pyramids vertex vertices whence