The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 σελίδες |
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Σελίδα 31
... Corollary . - A quadrilateral which has two if its opposite sides equal and pale , a a parallelogram . See the ... Corollary 1. - If a parallelogram have one angle a right angle , al . its ang ma un nige angles . Corollary 2 ...
... Corollary . - A quadrilateral which has two if its opposite sides equal and pale , a a parallelogram . See the ... Corollary 1. - If a parallelogram have one angle a right angle , al . its ang ma un nige angles . Corollary 2 ...
Σελίδα 91
... Corollary 3. - A right angle may be quinquisected , that is , divided into five equal parts . Corollary 4 .-- By doubling the arc B D one - fifth part of the circumference is obtained ; and , by drawing its chord , the side of a regular ...
... Corollary 3. - A right angle may be quinquisected , that is , divided into five equal parts . Corollary 4 .-- By doubling the arc B D one - fifth part of the circumference is obtained ; and , by drawing its chord , the side of a regular ...
Σελίδα 141
... COROLLARY 1. - In like manner it may be proved , that similar four- sided figures , or figures of any number of sides , are , one to another in the duplicate ratio of their homologous sides ; and this has been proved of triangles ( VI ...
... COROLLARY 1. - In like manner it may be proved , that similar four- sided figures , or figures of any number of sides , are , one to another in the duplicate ratio of their homologous sides ; and this has been proved of triangles ( VI ...
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A B and CD A B C D A B is equal adjacent angles altitude angle ABC angle B A C base B C bisected Cassell's centre circle A B C circle ABCD circumference cone cylinder D E F described diagonal diameter draw equal angles equal Ax equal Const equiangular equimultiples Euclid exterior angle given rectilineal given straight line gnomon greater homologous Illustrated inscribed join less Let A B C multiple opposite angles parallelopiped pentagon perpendicular polygon prism proposition pyramid Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid angle sphere squares of AC straight line drawn straight lines A B THEOREM three plane angles touches the circle triangle A B C triplicate ratio twice the rectangle vertex Wherefore