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 TrigonometryCollins & Hannay, 1860 - 333 páginas |
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Página 30
... straight line , & c . Q. E. D. PROP . XIV . THEOR . If , at a point in a straight line , two other straight lines , upon the oppo- site sides of it , make the adjacent angles together equal to two right angles , these two straight lines ...
... straight line , & c . Q. E. D. PROP . XIV . THEOR . If , at a point in a straight line , two other straight lines , upon the oppo- site sides of it , make the adjacent angles together equal to two right angles , these two straight lines ...
Página 183
... straight line drawn in the plane of the lines AD , AF ; and when a straight line is at right angles to any straight line which it meets with in a plane , it is at right angles to the plane itself ( def . 1 . 2. Sup . ) . AB is therefore ...
... straight line drawn in the plane of the lines AD , AF ; and when a straight line is at right angles to any straight line which it meets with in a plane , it is at right angles to the plane itself ( def . 1 . 2. Sup . ) . AB is therefore ...
Página 292
... straight line in the room of Euclid's . This definition of a straight line was suggested by a remark of Boscovich , who , in his Notes on the philosophical Poem of Professor Stay , says , " Rectam lineam rectæ congruere totam toti " in ...
... straight line in the room of Euclid's . This definition of a straight line was suggested by a remark of Boscovich , who , in his Notes on the philosophical Poem of Professor Stay , says , " Rectam lineam rectæ congruere totam toti " in ...
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Términos y frases comunes
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal and similar 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 meet multiple opposite angle parallel 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 side BC sine solid angle solid parallelopipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore