The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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Σελίδα 31
... rectangles under the hypothenuse and the segments of it made by the perpendicular from A upon BC respectively adjacent to BA , AC . 19. Describe a square equal to any number of given squares , and likewise a square equal to the ...
... rectangles under the hypothenuse and the segments of it made by the perpendicular from A upon BC respectively adjacent to BA , AC . 19. Describe a square equal to any number of given squares , and likewise a square equal to the ...
Σελίδα 33
... 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 . Let A and BC be two straight lines ; and let BC be divided into any parts in 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 . Let A and BC be two straight lines ; and let BC be divided into any parts in the ...
Σελίδα 34
... rectangle * AB , AC , shall be equal to the square of AB . Upon AB describe ( 46. 1. ) the square ADEB , and through ... rectangle contained by BA , AC ; for it is contained by DA , AC , of which AD is equal to A C B AB ; and CE is ...
... rectangle * AB , AC , shall be equal to the square of AB . Upon AB describe ( 46. 1. ) the square ADEB , and through ... rectangle contained by BA , AC ; for it is contained by DA , AC , of which AD is equal to A C B AB ; and CE is ...
Σελίδα 35
... rectangle contained by AC , CB , for GC is equal to CB therefore GE is also equal to the rectangle AC , CB ; wherefore AG , GE are equal to twice the rectangle AC , CB : : And HF , CK are the squares of AC , CB ; wherefore the four ...
... rectangle contained by AC , CB , for GC is equal to CB therefore GE is also equal to the rectangle AC , CB ; wherefore AG , GE are equal to twice the rectangle AC , CB : : And HF , CK are the squares of AC , CB ; wherefore the four ...
Σελίδα 36
... rectangle contained by AD , DB , for DH is equal ( 4. Cor . 11. ) to DB ; and DF together with CH is the gnomon CMG ; Therefore the gnomon CMG is equal to the rectangle AD , DB : To each of these add LG , which is equal ( 4. Cor . 11 ...
... rectangle contained by AD , DB , for DH is equal ( 4. Cor . 11. ) to DB ; and DF together with CH is the gnomon CMG ; Therefore the gnomon CMG is equal to the rectangle AD , DB : To each of these add LG , which is equal ( 4. Cor . 11 ...
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ABC is equal ABCD adjacent angles angle ABC angle BAC axis bisected centre circle ABC circumference coincide cone construction coordinate planes described Descriptive Geometry diameter dicular dihedral angles draw edges ellipse equal angles equiangular equimultiples given line given point given straight line greater hence horizontal hyperbola inclination intersection join less Let ABC Let the plane line BC lines drawn magnitudes meet multiple orthograph parabola parallel planes parallelogram parallelopiped perpen perpendicular perpendicular to MN plane MN plane of projection plane parallel plane PQ prisms profile angles profile plane projecting plane Prop Q. E. D. PROPOSITION ratio rectangle rectangle contained rectilineal figure remaining angle respectively right angles SCHOLIUM segment sides six right sphere spherical angle tangent THEOR trace triangle ABC trihedral vertex Whence Wherefore