## Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |

### From inside the book

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Page viii

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**propositions**which are usually admitted into them . When I speak of the rectification of the circle , or of measuring the length of the circumference , I must not be supposed to mean , that a straight line is to be made equal to the ... Page ix

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**proposition**is from LE- GENDRE's Elements of Geometry ; that of the sixth is new , as far as I know ; as is also the solution of the problem in the nineteenth**proposition**, -a problem which , though in itself extremely simple , has been ... Page x

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**propositions**through the whole of the Elements , viz . That in the demonstration of a theorem , he never supposes any thing to be done , as any line to be drawn , or any figure to be constructed , the manner of doing which he has not ... Page xii

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**proposition**that may not improperly be considered as terminating the elementary part of Geometry . The Book of the Data has been annexed to several editions of EUCLID'S Elements , and particularly to Dr. SIMSON'S , but in this it is ... Page xiv

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**proposition**, but to shew its necessary connection with other**propositions**, and its dependance on them . The truths of Geometry are all necessarily connected with one another , and the system of such truths can never be rightly ...### Other editions - View all

### Common terms and phrases

ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder definition demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes MDCCCXX meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore