A System of Popular Geometry: Containing in a Few Lessons So Much of the Elements of Euclid as is Necessary and Sufficient for a Right Understanding of Every Art and Science in Its Leading Truths and General PrinciplesTaylor and Walton, Booksellers to the University of London, 30 Upper Gower Street, 1836 - 128 sider |
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Side v
... present conceptions as his present abilities . We have been still more gratified by private communi- cations on the subject of our Work than by the public patronage of it , inasmuch as they denote that personal in- terest in the study ...
... present conceptions as his present abilities . We have been still more gratified by private communi- cations on the subject of our Work than by the public patronage of it , inasmuch as they denote that personal in- terest in the study ...
Side vi
... present Series of Works , we have much more regard for the public good than our own mathematical reputation . Suggestions and objections were therefore , and will always be , acceptable ; we feel no re- luctance whatever to surrender ...
... present Series of Works , we have much more regard for the public good than our own mathematical reputation . Suggestions and objections were therefore , and will always be , acceptable ; we feel no re- luctance whatever to surrender ...
Side vii
... present edition of our Geometry will , we hope , secure us in the continuance of public favour , this being the only solid proof of our having deserved it . POSTSCRIPT TO FOURTH EDITION . The strictures upon Euclid in our Preface and ...
... present edition of our Geometry will , we hope , secure us in the continuance of public favour , this being the only solid proof of our having deserved it . POSTSCRIPT TO FOURTH EDITION . The strictures upon Euclid in our Preface and ...
Side ix
... present , is the best excuse for an imperfect one , and the best recommendation of a good one . There is a Geometry ( if it may be so called ) for children , and a Geometry for professed mathematicians ; but there is no Geometry for the ...
... present , is the best excuse for an imperfect one , and the best recommendation of a good one . There is a Geometry ( if it may be so called ) for children , and a Geometry for professed mathematicians ; but there is no Geometry for the ...
Side xiv
... present state , the groundwork of the Science , Geometry It is by no means certain that the Elements of Euclid were composed by Euclid . Many authors seem to have had a share in them ; so that it is unjust to accuse Euclid of errors ...
... present state , the groundwork of the Science , Geometry It is by no means certain that the Elements of Euclid were composed by Euclid . Many authors seem to have had a share in them ; so that it is unjust to accuse Euclid of errors ...
Vanlige uttrykk og setninger
ABCD altitudes angle ABC angle BAC angle CDA angles EAB angles equal base AC centre chord circumference Consequently contained definition demonstration equal arches equal bases equal circles equal sides equal to CD equal to four equal triangles equally distant equi-angular Euclid finite right line Geometry given finite right given point given right line greater Hence ibid internal angles Join KLMN Let ABC line CD lines be drawn magnitude NOTE opposite angles parallel right lines parallelogram perpendicular PROB produced propositions quantities reciprocally proportional rectangle rectilineal figure respectively equal right angles right line divided right line drawn right line intersect segments side AB side AC square of AB square of AC submultiple supposition is false tangent theorem third side three sides tiples triangle ABC unequal vertex
Populære avsnitt
Side 31 - In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle.
Side xxxi - 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.
Side 3 - If two triangles have two sides of the one equal, respectively, to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Side xxx - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line.
Side 30 - If two triangles have two angles of the one equal respectively to two angles of the other, the third angles are equal.
Side 25 - If a parallelogram and a triangle be upon the same base, and between the same parallels; the parallelogram shall be double of the triangle.
Side 99 - If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle.
Side 51 - A rectilineal figure is said to be described about a circle, when each side of the circumscribed figure touches the circumference of the circle. 5. In like manner, a circle is said to be inscribed...
Side 10 - When a straight line standing on another straight line, makes the adjacent angles equal to one another, each of these angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Side 11 - An angle less than a right angle is called an acute angle; an angle greater than a right angle and less than two right angles is called an obtuse angle.