The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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Αποτελέσματα 1 - 5 από τα 42.
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 AB ; and CE is contained ...
... 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 AB ; and CE is contained ...
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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Δημοφιλή αποσπάσματα
Σελίδα 19 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
Σελίδα 35 - If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Σελίδα 4 - AB; but things which are equal to the same are equal to one another...
Σελίδα 128 - EQUIANGULAR parallelograms have to one another the ratio which is compounded of the ratios of their sides.* Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle ECG : the ratio of the parallelogram AC to the parallelogram CF, is the same with the ratio which is compounded of the ratios of their sides. Let BG, CG, be placed in a straight line ; therefore DC and CE are also in a straight line (14.
Σελίδα 8 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 36 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced...
Σελίδα 21 - BCD, and the other angles to the other angles, (4. 1.) each to each, to which the equal sides are opposite : therefore the angle ACB is equal to the angle CBD ; and because the straight line BC meets the two straight lines AC, BD, and makes the alternate angles ACB, CBD equal to one another, AC is parallel (27. 1 .) to DB ; and it was shown to be equal to it. Therefore straight lines, &c.
Σελίδα 65 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle shall be equal to the angles which are in the alternate segments of the circle.
Σελίδα 4 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Σελίδα 116 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.