| Euclid - 1890 - 400 páginas
...+ BSR = ASR + BSR, = two rt. A 8. AA Similarly SRC + ASR = two rt. A". Proposition 30. THEOREM — **Straight lines which are parallel to the same straight line are parallel to** each otfier. Let st. lines AB, CD be each || to PQ. Draw XY across them, meeting AB, PQ, CD in _ f... | |
| Rupert Deakin - 1891 - 79 páginas
...same side ; and also the two interior angles on the same side together equal to two right angles. 30. **Straight lines which are parallel to the same straight line are parallel to one another.** 31. To draw a straight line through a given point parallel to a given straight line. 32. If a side... | |
| James Andrew Blaikie, William Thomson - 1891
...the two interior angles on the same side of the cutting line together equal to two right angles. 30. **Straight lines which are parallel to the same straight line are parallel to** each other. 31. Through a given point, to draw a straight line parallel to a given straight line. 32.... | |
| William James Milne - 1899 - 384 páginas
...the given line. In what direction do these two lines extend with reference to each other? Theorem. **Straight lines which are parallel to the same straight line are parallel to** each other. ' Data: Any straight lines, as AB A (75 B and CD, each parallel to another c /' D straight... | |
| Seymour Eaton - 1899 - 340 páginas
...perpendicular lines drawn to parallel lines are themselves parallel. Lesson No. 15 PROPOSITION 30. THEOREM **Straight lines which are parallel to the same straight line are parallel to** each other. Let AB and CD be each of them parallel to EF; then AB shall be parallel to CD. Proof: Because... | |
| William James Milne - 1899 - 242 páginas
...the given line. In what direction do these two lines extend with reference to each other ? Theorem. **Straight lines which are parallel to the same straight line are parallel to** each other. Data: Any straight lines, as AB A and CD, each parallel to another c straight line, as... | |
| Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 páginas
...Propositions, dealing with parallel straight lines, depends on Axiom 12 ? Furnish an alternative proof. 3. **Straight lines which are parallel to the same straight line are parallel to one another** [Prop. 30]. Deduce this from Playfair's Axiom. 4. Define a parallelogram, an altitude of a triangle,... | |
| 1901
...angle and name the different kinds of angles. Describe an ancle equal to a givtn angle. (4) S' might **lines which are parallel to the same straight line are parallel to one another.** Two straight lines are drawn parallel to the base of an isosceles triangle ; show that the segments... | |
| Charles Godfrey, Arthur Warry Siddons - 1903 - 355 páginas
...are acute. (iii) London Bridge is a stone bridge. (iv) A nigger is a man with woolly hair. THEOREM 6. **Straight lines which are parallel to the same straight line are parallel to one another.** ~T fig. 89. Data AB, CD are each || to XY. To prove that AB is || to CD. Construction Draw a st. line... | |
| Euclid - 1904 - 456 páginas
...angle GHD ; that is, the alternate angles AGH, GHD are equal. QED /^ / /£ PROPOSITION 30. THEOREM. **Straight lines which are parallel to the same straight line are parallel to one another.** J K/ F/ Let the straight lines AB, CD be each parallel to the straight line PQ. Then shall AB and CD... | |
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