The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh and Twelfth ; the Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored ; Also the Book of Euclid's Data, in Like Manner CorrectedDesilver, 1829 - 516 σελίδες |
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Αποτελέσματα 1 - 5 από τα 27.
Σελίδα 195
... pyramid is a solid figure contained by planes that are consti- tuted betwixt one plane and one point above it in which they meet . XIII . A prism is a solid figure contained by plane figures , of which two that are opposite are equal ...
... pyramid is a solid figure contained by planes that are consti- tuted betwixt one plane and one point above it in which they meet . XIII . A prism is a solid figure contained by plane figures , of which two that are opposite are equal ...
Σελίδα 255
... pyramid having a triangular base , may be di- vided into two equal and similar pyramids having triangu- lar bases , and which are similar to the whole pyramid ; and into two equal prisms which together are greater than half of the whole ...
... pyramid having a triangular base , may be di- vided into two equal and similar pyramids having triangu- lar bases , and which are similar to the whole pyramid ; and into two equal prisms which together are greater than half of the whole ...
Σελίδα 256
... pyramid of which the base is the triangle AEG , and of which the vertex is the point H , is equal ( C. 11. ) and similar to the pyramid the base of which is the triangle KHL , and vertex the point D : and because HK is parallel to AB a ...
... pyramid of which the base is the triangle AEG , and of which the vertex is the point H , is equal ( C. 11. ) and similar to the pyramid the base of which is the triangle KHL , and vertex the point D : and because HK is parallel to AB a ...
Σελίδα 257
... pyramid is equal ( C. 11. ) to the pyramid the base of which is the triangle AEG , and vertex the point H ; because they are contained by equal and similar planes : wherefore the prism having the parallelogram EBFG for its base , and ...
... pyramid is equal ( C. 11. ) to the pyramid the base of which is the triangle AEG , and vertex the point H ; because they are contained by equal and similar planes : wherefore the prism having the parallelogram EBFG for its base , and ...
Σελίδα 258
... pyramids of the same altitude , upon triangular bases , and each of them be divided into two equal pyramids similar to the whole pyramid , and also in- to two equal prisms ; and if each of these pyramids be di- vided in the same manner ...
... pyramids of the same altitude , upon triangular bases , and each of them be divided into two equal pyramids similar to the whole pyramid , and also in- to two equal prisms ; and if each of these pyramids be di- vided in the same manner ...
Άλλες εκδόσεις - Προβολή όλων
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference co-sine cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore
Δημοφιλή αποσπάσματα
Σελίδα 9 - Let it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 81 - The angles in the same segment of a circle are equal to one another.
Σελίδα 315 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Σελίδα 33 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 49 - If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part.
Σελίδα 96 - If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Σελίδα 155 - 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.
Σελίδα 22 - ANY two angles of a triangle are together less than two right angles.
Σελίδα 25 - Let A, B, C be the three given straight lines, of which any two whatever are greater than the third, viz.
Σελίδα 24 - Any two sides of a triangle are together greater than the third side.