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 TrigonometryLippincott, Grambo & Company, 1854 - 317 σελίδες |
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Σελίδα 6
... draw one line perpendicular to another ; or to divide a line into two equal parts . 9. Solution of a problem is the ... drawn immediately from some proposition or other premises . 12. A Scholium is a remark or observation made on some ...
... draw one line perpendicular to another ; or to divide a line into two equal parts . 9. Solution of a problem is the ... drawn immediately from some proposition or other premises . 12. A Scholium is a remark or observation made on some ...
Σελίδα 12
... draw the straight lines ( 1 . Post . ) CA , CB to the points A , B ; ABC is an equilateral triangle . Because the ... draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is ...
... draw the straight lines ( 1 . Post . ) CA , CB to the points A , B ; ABC is an equilateral triangle . Because the ... draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is ...
Σελίδα 13
... drawn equal to the given straight line BC . PROP . III . PROB . From the greater of two given straight lines to cut ... draw ( 2. 1. ) the straight line AD equal to C ; and from the centre A , and at the distance AD , describe ( 3. Post ...
... drawn equal to the given straight line BC . PROP . III . PROB . From the greater of two given straight lines to cut ... draw ( 2. 1. ) the straight line AD equal to C ; and from the centre A , and at the distance AD , describe ( 3. Post ...
Σελίδα 18
... drawn at right angles to AB . PROP . XII . PROB . To draw a straight line perpendicular to a given straight line , of an unlimited length , from a given point without it . Let AB be a given straight line , which may be produced to any ...
... drawn at right angles to AB . PROP . XII . PROB . To draw a straight line perpendicular to a given straight line , of an unlimited length , from a given point without it . Let AB be a given straight line , which may be produced to any ...
Σελίδα 29
... draw a straight line through a given point parallel to a given straight line . Let A be the given point , and BC the given straight line , it is required to draw a straight line through the point A , parallel to the straight line BC ...
... draw a straight line through a given point parallel to a given straight line . Let A be the given point , and BC the given straight line , it is required to draw a straight line through the point A , parallel to the straight line BC ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore