| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...impossible. [Axiom, 91 Wherefore two straight lines cannot have a common segment. PROPOSITION 12. PROBLEM. **To draw a straight line perpendicular to a given straight...from a given point •without it. Let AB be the given** straight line, which may be produced to any length both ways, and let C be the given point without... | |
| Euclides - 1884 - 182 pages
...ends of the chord, and prove after the manner of Proposition XI.) 43, PROPOSITION XII. — PROBLEM. **To draw a straight line perpendicular to a given straight...from a given point without it. Let AB be the given** straight line, which may be produced any length both ways, and let C be a point without it. It is required... | |
| Stewart W. and co - 1884 - 272 pages
...the greater, which is impossible; therefore two straight lines cannot have a common segment. XII. — **To draw a straight line perpendicular to a given straight...from a given, point without it. Let AB be the given** straight line, which may be produced to any length both ways, and let C be a point without it. It is... | |
| F. B. Stevens - Examinations - 1884 - 202 pages
...Binomial Theorem. 10. Insert three geometrical means between \ and 128. GEOMETRY. * 1876. (EUCLID.) 1. **To draw a straight line perpendicular to a given straight...an unlimited length, from a given point without it.** • 2. The straight lines which join the extremities of two equal and parallel straight Hues towards... | |
| Euclides - 1884 - 214 pages
...equal to one another. Axiom 9. The whole is greater than its part. p. G. PROPOSITION XII. PROBLEM. **To draw a straight line perpendicular to a given straight...an unlimited length, from a given point without it.** GIVEN in position the straight line AB of unlimited length, and a point C without it; IT is REQUIRED... | |
| Euclides - 1884 - 94 pages
...EUCLID SHEETS. PROPOSITIONS 1-26, BOOK I, ARE NOW PUBLISHED IN A SIMILAR FORM TO THIS. PEOPOSITION XII. **To draw a straight line perpendicular to a given straight line of** unlimited length, from a given point without it. Let be the given straight line, which may be produced... | |
| James Gow - Mathematics - 1884 - 350 pages
...His fellow-townsman, Hecatacus, Eudemus is cited in the latter passage. r _sglntion_gf two problems, **'To draw a straight line perpendicular to a given straight line of** unlimited length, from a given point without it' (Euclid I. 12.) and 'At a given point in a given straight... | |
| Education - 1885 - 630 pages
...equal in ever)- respect, for the remaining side AD = EH, the L ADC = L EHG, and the L BAU = L FEH. 2. **To draw a straight line perpendicular to a given straight line of** unlimited length, from a given point without it. Prop. 12, Bk. I. 3. To make a triangle of which the... | |
| Euclid - Geometry - 1890 - 442 pages
...A" PXQ, PYQ, we have PX = PY, PQ common, and QX = QY ; AA .-. QPX = QPY. Proposition 12. PROBLEM — **To draw a straight line perpendicular to a given straight line, of** unlimited length, from a given point without it. Let AB be the given line ; P the given pt. without... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...of a quadrilateral bisects the other at right angles it must be a rhombus. PROPOSITION 12. PROBLEM. **To draw a straight line perpendicular to a given straight line of** unlimited length from a given point without it. Let AB be the given straight line which may be produced... | |
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